{"id":1679,"date":"2022-04-21T12:27:19","date_gmt":"2022-04-21T12:27:19","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1679"},"modified":"2024-05-28T08:05:25","modified_gmt":"2024-05-28T08:05:25","slug":"algebra-definition-with-examples-copy-3","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/multiplying-mixed-numbers","title":{"rendered":"Multiplying Mixed Numbers &#8211; Definition with Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-a9d38274-17b9-45a9-8fb8-b1fde9716733\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/multiplying-mixed-numbers#0-what-is-multiplying-mixed-numbers>What Is Multiplying Mixed Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/multiplying-mixed-numbers#3-how-to-convert-mixed-numbers-into-improper-fractions>How to Convert Mixed Numbers into Improper Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/multiplying-mixed-numbers#5-how-to-multiply-a-mixed-number-and-a-whole-number>How to Multiply a Mixed Number and a Whole Number<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/multiplying-mixed-numbers#9-solved-examples-on-multiplying-mixed-numbers>Solved Examples on Multiplying Mixed Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/multiplying-mixed-numbers#10-practice-problems-on-multiplying-mixed-numbers>Practice Problems on Multiplying Mixed Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/multiplying-mixed-numbers#11-frequently-asked-questions-about-multiplying-mixed-numbers>Frequently Asked Questions about Multiplying Mixed Numbers<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<h2 class=\"wp-block-heading\" id=\"0-what-is-multiplying-mixed-numbers\">What Is Multiplying Mixed Numbers?<\/h2>\n\n\n\n<p>Multiplying mixed numbers refers to finding the product of two mixed numbers. Before delving into the steps and examples, let&#8217;s take a moment to review some essential basics.<\/p>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\">fraction<\/a> represents parts of a whole. If a cake is divided into eight equal pieces, and three pieces of the cake are placed on a plate, then we can say that the plate has $\\frac{3}{8}$ of the cake.\u00a0<\/p>\n\n\n\n<p>There are three types of fractions:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th><strong>Proper Fractions<\/strong><\/th><th><strong>Improper Fractions<\/strong><\/th><th><strong>Mixed Numbers(Mixed Fractions)<\/strong><\/th><\/tr><\/thead><tbody><tr><td style=\"white-space: nowrap\">Numerator &lt; Denominator<\/td><td style=\"white-space: nowrap\">Numerator \u2265 Denominator<\/td><td>Consists of a whole number and a proper fraction<\/td><\/tr><tr><td>They lie between 0 and 1.<\/td><td>1 or greater than 1&nbsp;<\/td><td>1 or greater than 1<\/td><\/tr><tr><td>Examples: $\\frac{1}{2}, \\frac{3}{4}, \\frac{7}{12}$<\/td><td>Examples: $\\frac{3}{2}, \\frac{12}{5}, \\frac{8}{3}$<\/td><td>Examples: $3\\frac{1}{2}; 2\\frac{2}{3}; 2\\frac{1}{7}$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Let\u2019s explore mixed numbers.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_make_10_pt.png\" alt=\"Add 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-and-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_2d_1d_match_pt.png\" alt=\"Add 2-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-numbers-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_2d_vertical_pt.png\" alt=\"Add 2-Digit Numbers By Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit Numbers By Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_pt.png\" alt=\"Add 3 Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-in-any-order\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers in Any Order Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-groups-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_using_model_pt.png\" alt=\"Add 3 Numbers Using Groups of Objects Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Using Groups of Objects Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_using_models_pt.png\" alt=\"Add 3 Numbers using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-digit-and-1-digit-numbers-and-match\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_3d_1d_match_g3_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers and Match Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3-Digit and 1-Digit Numbers and Match Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-digit-and-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_3d_1d_vertical_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-digit-and-1-digit-numbers-with-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_3d_1d_vertical_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers with Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3-Digit and 1-Digit Numbers with Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-what-are-mixed-numbers\">What Are Mixed Numbers?<\/h2>\n\n\n\n<p>A mixed number or a mixed fraction consists of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\">whole number<\/a> and a proper fraction. It generally represents a number between any two whole numbers.&nbsp;<\/p>\n\n\n\n<p>Look at the given image. It represents a fraction that is greater than 1 but less than 2. It is a mixed number.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/05\/visual-representation-of-a-mixed-number.png\" alt=\"Visual representation of a mixed number\" class=\"wp-image-41779\" title=\"Visual representation of a mixed number\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/05\/visual-representation-of-a-mixed-number.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/05\/visual-representation-of-a-mixed-number-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Some other examples of mixed numbers are:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"331\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/05\/examples-of-mixed-numbers.png\" alt=\"Examples of mixed numbers\" class=\"wp-image-41781\" title=\"Examples of mixed numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/05\/examples-of-mixed-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/05\/examples-of-mixed-numbers-300x160.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Parts of a Mixed Number<\/strong><\/li>\n<\/ul>\n\n\n\n<p>A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"285\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/05\/parts-of-a-mixed-number.png\" alt=\"Parts of a mixed number\" class=\"wp-image-41782\" title=\"Parts of a mixed number\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/05\/parts-of-a-mixed-number.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/05\/parts-of-a-mixed-number-300x138.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers.jpeg\" alt=\"Add & Subtract Ones & 2-Digit Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Find the Sum\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-match-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-match-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Match the Sum\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-tables\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-tables.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Tables\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-wheel\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-wheel.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Wheel\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-number-charts\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-number-charts.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Number Charts\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-place-value\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-place-value.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Place Value\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-horizontal-addition.jpeg\" alt=\"Add 1-Digit Numbers and Teen Numbers: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-missing-digits\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-missing-digits.jpeg\" alt=\"Add 1-Digit Numbers and Teen Numbers: Missing Digits Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-missing-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-missing-numbers.jpeg\" alt=\"Add 1-Digit Numbers and Teen Numbers: Missing Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-how-to-multiply-fractions\">How to Multiply Fractions<\/h2>\n\n\n\n<p>Before we discuss how to multiply mixed numbers, let\u2019s quickly understand how to multiply two fractions.<\/p>\n\n\n\n<p>Multiplication of two fractions is a pretty straightforward process. To multiply two fractions $\\frac{a}{b}$ and $\\frac{c}{d}$, we first multiply the numerators and write the product as the numerator of the answer. Next, we multiply the denominators and write the result in the denominator. This is how the multiplication of fractions works. The fractions can be proper or improper.<\/p>\n\n\n\n<p>$\\frac{a}{b} \\times \\frac{c}{d} = \\frac{a \\times c}{b \\times d}$<\/p>\n\n\n\n<p><strong>Example: <\/strong>$\\frac{2}{3} \\times \\frac{7}{9} = \\frac{2 \\times 7}{3 \\times 9} = \\frac{14}{27}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-convert-mixed-numbers-into-improper-fractions\">How to Convert Mixed Numbers into Improper Fractions<\/h2>\n\n\n\n<p>Converting mixed numbers into improper fractions simplifies the process of multiplying two mixed numbers or multiplying a mixed number and a fraction. Let\u2019s understand the steps.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Step 1:<\/strong> Multiply the whole number by the denominator of the fraction.<\/li>\n\n\n\n<li><strong>Step 2:<\/strong> Add the answer obtained from Step 1 to the numerator of the fraction.\u00a0<\/li>\n\n\n\n<li><strong>Step 3: <\/strong>Write an answer obtained from step 2 over the denominator.<\/li>\n<\/ul>\n\n\n\n<p><strong>Example 1:<\/strong> Suppose we have to convert $2\\frac{2}{3}$ into an improper fraction.<\/p>\n\n\n\n<p>Step 1: Multiply 3 and 2. We get $3 \\times 2 = 6$.<\/p>\n\n\n\n<p>Step 2: Add 6 and 2. We get $6 + 2 = 8$<\/p>\n\n\n\n<p>Step 3: The fraction obtained is $\\frac{8}{3}$.\u00a0<\/p>\n\n\n\n<p>In summary, $2\\frac{2}{3} = \\frac{(3 \\times 2) + 2}{3} = \\frac{8}{3}$<\/p>\n\n\n\n<p><strong>Example 2:<\/strong> \u00a0$2\\frac{1}{3} = \\frac{(3 \\times 2) + 1}{3} = \\frac{7}{3}$<\/p>\n\n\n\n<p><strong>Example 3:<\/strong> $9\\frac{5}{6} = \\frac{(6 \\times 9) + 5}{6} = \\frac{59}{6}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-how-to-multiply-mixed-numbers\">How to Multiply Mixed Numbers<\/h2>\n\n\n\n<p>The simplest way to multiply two mixed numbers is to convert mixed numbers into improper fractions and then multiply the resulting improper fractions using the usual fraction multiplication rules.&nbsp;<\/p>\n\n\n\n<p>We will discuss 3 different cases here:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiplying mixed numbers with whole numbers<\/li>\n\n\n\n<li>Multiplying mixed fractions\u00a0<\/li>\n\n\n\n<li>Multiplying mixed numbers with fractions<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-how-to-multiply-a-mixed-number-and-a-whole-number\">How to Multiply a Mixed Number and a Whole Number<\/h2>\n\n\n\n<p><strong>Step 1:<\/strong> Convert the mixed number into an improper fraction.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Rewrite the whole number as a fraction with the denominator 1.<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Multiply two fractions by multiplying the numerators and denominators separately.<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Convert it into simplified form if required.<\/p>\n\n\n\n<p><strong>Example:<\/strong> Multiply 3 and $2\\frac{1}{2}$.<\/p>\n\n\n\n<p>$2\\frac{1}{2} = \\frac{(2 \\times 2) + 1}{2} = \\frac{5}{2}$<\/p>\n\n\n\n<p>$3\\frac{5}{2} = \\frac{3}{1} \\times \\frac{5}{2} = \\frac{15}{2} = 7\\frac{1}{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-how-to-multiply-two-mixed-numbers\">How to Multiply Two Mixed Numbers<\/h2>\n\n\n\n<p><strong>Step 1:<\/strong> Convert the mixed numbers into improper fractions.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Multiply the two fractions by multiplying the numerators and denominators separately.<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Convert it into simplified form if required.<\/p>\n\n\n\n<p><strong>Example:<\/strong> Multiply $4\\frac{1}{2}$ and $3\\frac{1}{3}$.<\/p>\n\n\n\n<p>$4\\frac{1}{2} = \\frac{4 \\times 2 + 1}{2} = \\frac{9}{2}$<\/p>\n\n\n\n<p>$3\\frac{1}{3} = \\frac{3 \\times 3 + 1}{3} = \\frac{10}{3}$<\/p>\n\n\n\n<p>$4\\frac{1}{2} \\times 3\\frac{1}{3} = \\frac{9}{2} \\times \\frac{10}{3} = \\frac{90}{6} = 15$\u00a0<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-how-to-multiply-a-mixed-number-and-a-fraction\">How to Multiply a Mixed Number and a Fraction<\/h2>\n\n\n\n<p>Multiplying fractions with \u200b\u200bmixed numbers refers to finding the product of a fraction and a mixed number (mixed fraction).&nbsp;<\/p>\n\n\n\n<p>The first step in multiplying fractions and mixed numbers is to convert the mixed number into an improper fraction. After that, you proceed with the regular multiplication of two fractions.<\/p>\n\n\n\n<p>Here are the steps for multiplying fractions with mixed numbers:<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Convert the mixed number into an improper fraction.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Multiply the numerators of the fractions separately. Multiply the denominators of the fractions separately.<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Convert the resulting fraction into its simplified form if required.<\/p>\n\n\n\n<p><strong>Example 1: Multiply <\/strong>$\\frac{2}{3}$<strong> with <\/strong>$2\\frac{1}{5}$.<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Convert all the mixed numbers in the given problem into improper fractions.<\/p>\n\n\n\n<p>Here, $2\\frac{1}{5}$ is a mixed number. Converting it into an improper fraction, we get<\/p>\n\n\n\n<p>$2\\frac{1}{5} = \\frac{(5 \\times 2) + 1}{5} = \\frac{11}{5}$<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Rewrite the problem using the new improper fraction.<\/p>\n\n\n\n<p>Here, the problem becomes&nbsp;<\/p>\n\n\n\n<p>$\\frac{2}{3} \\times 2\\frac{1}{5} = \\frac{2}{3} \\times \\frac{11}{5}$<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Multiply the numerators. Write the result as the numerator of the answer.<\/p>\n\n\n\n<p>Multiply the denominators. Write the result as the denominator of the answer.&nbsp;<\/p>\n\n\n\n<p>$\\frac{2}{3} \\times \\frac{11}{5} = \\frac{2 \\times 11}{3 \\times 5} = \\frac{22}{15}$<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Write the fraction in its simplest form. Rewrite the answer as a mixed number if required.&nbsp;<\/p>\n\n\n\n<p>Here, $\\frac{22}{15} = 1\\frac{7}{15}$<\/p>\n\n\n\n<p><strong>Example 2:<\/strong> Multiply $\\frac{2}{5}$ and $3\\frac{1}{2}$.<\/p>\n\n\n\n<p>$3\\frac{1}{2} = \\frac{(3 \\times 2) + 1}{2} = \\frac{7}{2}$<\/p>\n\n\n\n<p>$\\frac{2}{5} \\times \\frac{7}{2} = \\frac{14}{10} = \\frac{7}{5} = 1\\frac{2}{5}$<\/p>\n\n\n\n<p><strong>Different Cases: <\/strong>We might encounter three cases when multiplying a fraction with a mixed number.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiplying a proper fraction with a mixed number<\/li>\n\n\n\n<li>Multiplying a proper fraction with a mixed number<\/li>\n\n\n\n<li>Multiplying a mixed fraction with a mixed fraction<\/li>\n<\/ul>\n\n\n\n<p>In each case, we follow the same steps we discussed earlier. Let\u2019s see examples in every category.&nbsp;<\/p>\n\n\n\n<p><strong>Example 1: Multiplying a proper fraction with a mixed number&nbsp;<\/strong><\/p>\n\n\n\n<p>Multiply $\\frac{1}{5}$ by $2\\frac{1}{2}$.<\/p>\n\n\n\n<p>Convert the mixed number into an improper fraction.&nbsp;<\/p>\n\n\n\n<p>$2\\frac{1}{2} = \\frac{(2 \\times 2) +1}{2} = \\frac{5}{2}$<\/p>\n\n\n\n<p>Next, we multiply the fractions $\\frac{1}{5}$ and $\\frac{5}{2}$.<\/p>\n\n\n\n<p>$\\frac{1}{5} \\times \\frac{5}{2} = \\frac{1 \\times 5}{5 \\times 2} = \\frac{1}{2}$<\/p>\n\n\n\n<p><strong>Example 2: <\/strong><strong>Multiplying an improper fraction with a mixed number<\/strong><\/p>\n\n\n\n<p><strong>Multiply <\/strong>$\\frac{9}{8}$<strong> by <\/strong>$6\\frac{1}{3}$<strong>.<\/strong>\u00a0<\/p>\n\n\n\n<p>Convert the mixed number into an improper fraction.&nbsp;<\/p>\n\n\n\n<p>$6\\frac{1}{3} = \\frac{(6 \\times 3) + 1}{3} = \\frac{19}{3}$<\/p>\n\n\n\n<p>Next, we multiply the fractions $\\frac{9}{8}$ and $\\frac{19}{3}$.<\/p>\n\n\n\n<p>$\\frac{9 \\times 19}{8 \\times 3} = \\frac{57}{8}$<\/p>\n\n\n\n<p>Change the improper fraction $\\frac{57}{8}$ into a mixed number.\u00a0<\/p>\n\n\n\n<p>$\\frac{57}{8} = 7\\frac{1}{8}$<\/p>\n\n\n\n<p>So, $\\frac{9}{8} \\times 6\\frac{1}{3} = 7\\frac{1}{8}$<\/p>\n\n\n\n<p><strong>Example 3: Multiplying two mixed numbers<\/strong><\/p>\n\n\n\n<p><strong>Multiply <\/strong>$3\\frac{1}{5}$<strong> by <\/strong>$6\\frac{2}{3}$<strong>.\u00a0<\/strong><\/p>\n\n\n\n<p>Convert both the mixed numbers to improper fractions.<\/p>\n\n\n\n<p>$3\\frac{1}{5} = \\frac{(3 \\times 5) + 1}{5} = \\frac{16}{5}$\u00a0<\/p>\n\n\n\n<p>$6\\frac{2}{3} = \\frac{(6 \\times 3) + 2}{3} = \\frac{20}{3}$<\/p>\n\n\n\n<p>Multiply the fractions $\\frac{16}{5}$ and $\\frac{20}{3}$.<\/p>\n\n\n\n<p>$\\frac{16 \\times 20}{5 \\times 3} = \\frac{320}{15}$<\/p>\n\n\n\n<p>Change the improper fraction $\\frac{320}{15}$ into a mixed number.\u00a0<\/p>\n\n\n\n<p>$\\frac{320}{15} = 21\\frac{5}{15}$<\/p>\n\n\n\n<p>So, $3\\frac{1}{5} \\times 6\\frac{2}{3} = 19\\frac{5}{15}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned how to multiply mixed numbers. We started with an overview of the basic essential concepts, such as fractions, mixed numbers, multiplying fractions, and converting mixed numbers into improper fractions. We discussed different cases involved with various examples. Now, let\u2019s dive into some solved examples and practice MCQ problems. Happy solving!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-solved-examples-on-multiplying-mixed-numbers\">Solved Examples on Multiplying Mixed Numbers<\/h2>\n\n\n\n<p><strong>1. Multiply <\/strong>$5\\frac{3}{7}$<strong> by the multiplicative inverse of <\/strong>$7\\frac{3}{5}$<strong>.\u00a0<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>$5\\frac{3}{7} = \\frac{5\\times7 + 3}{7} = \\frac{38}{7}$<\/p>\n\n\n\n<p>$7\\frac{3}{5} = \\frac{7 \\times 5 + 3}{5} = \\frac{38}{5}$<\/p>\n\n\n\n<p>Multiplicative inverse of $\\frac{38}{5}$<strong> <\/strong>is $\\frac{5}{38}$<strong>.<\/strong><\/p>\n\n\n\n<p>Product $= \\frac{38}{7} \\times \\frac{5}{38} = \\frac{5}{7}$<\/p>\n\n\n\n<p><strong>2. Emma walks <\/strong>$5\\frac{2}{3}$<strong> miles in a day. How much distance will she cover in 9 days?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Distance traveled by Emma in 1 day $= 5\\frac{2}{3}$<strong> <\/strong>miles<strong> <\/strong>$= \\frac{17}{3}$<strong> <\/strong>miles<\/p>\n\n\n\n<p>Distance traveled by Emma in 9 days $= 9 \\times \\frac{17}{3} = 51$ miles\u00a0<\/p>\n\n\n\n<p><strong>3. Find <\/strong>$6\\frac{2}{5} \\times \\frac{3}{4}$<\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>$6\\frac{2}{5} = \\frac{6 \\times 5 + 2}{5} = \\frac{32}{5}$<\/p>\n\n\n\n<p>$\\frac{32}{5} \\times \\frac{3}{4} = \\frac{32 \\times 3}{5 \\times 4} = \\frac{96}{20} = \\frac{24}{5} = 4\\frac{4}{5}$<\/p>\n\n\n\n<p><strong>4. Multiply fractions with mixed numbers and simplify.<\/strong><\/p>\n\n\n\n<p><strong>i) <\/strong>$\\frac{1}{9} \\times 2\\frac{1}{4}$<\/p>\n\n\n\n<p><strong>ii) <\/strong>$\\frac{2}{5} \\times 1\\frac{3}{7}$<\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>i) Convert the mixed number $2\\frac{1}{4}$ into an improper fraction.<\/p>\n\n\n\n<p>$2\\frac{1}{4} = \\frac{(2 \\times 4) + 1}{4} = \\frac{9}{4}$<\/p>\n\n\n\n<p>Multiply<strong> <\/strong>$\\frac{9}{4}$<strong> <\/strong>with<strong> <\/strong>$\\frac{1}{9}$<strong>.<\/strong><\/p>\n\n\n\n<p>$\\frac{1}{9} \\times \\frac{9}{4} = \\frac{1}{4}$<\/p>\n\n\n\n<p>Thus,<strong> <\/strong>$\\frac{1}{9} \\times 2\\frac{1}{4} = \\frac{1}{4}$<\/p>\n\n\n\n<p>ii)<strong> <\/strong>Convert the mixed number $1\\frac{3}{7}$ into an improper fraction.<\/p>\n\n\n\n<p>$1\\frac{3}{7} = \\frac{10}{7}$<\/p>\n\n\n\n<p>Multiply<strong> <\/strong>$\\frac{2}{5}$<strong> <\/strong>with<strong> <\/strong>$\\frac{10}{7}$<strong>.<\/strong><\/p>\n\n\n\n<p>$\\frac{2}{5} \\times \\frac{10}{7} = \\frac{4}{7}$<\/p>\n\n\n\n<p>Thus,<strong> <\/strong>$\\frac{2}{5} \\times 1\\frac{3}{7} = \\frac{4}{7}$<\/p>\n\n\n\n<p><strong>5. What is the product of <\/strong>$\\frac{5}{3}$<strong> and <\/strong>$8\\frac{2}{5}$<strong>.\u00a0<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Convert the mixed number $8\\frac{2}{5}$ into an improper fraction.<\/p>\n\n\n\n<p>$8\\frac{2}{5} = \\frac{(8\\times 5) + 2}{5} = \\frac{42}{5}$<\/p>\n\n\n\n<p>Multiply<strong> <\/strong>$\\frac{5}{3}$<strong> <\/strong>with<strong> <\/strong>$4\\frac{2}{5}$<strong>.<\/strong><\/p>\n\n\n\n<p>$\\frac{5}{3} \\times \\frac{42}{5} = 14$<strong>.<\/strong><\/p>\n\n\n\n<p>Thus,<strong> <\/strong>$\\frac{5}{3} \\times 8\\frac{2}{5} = 14$<\/p>\n\n\n\n<p><strong>6. What is the result when <\/strong>$2\\frac{2}{5}$<strong> is multiplied by <\/strong>$1\\frac{1}{3}$<strong>?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Convert both the mixed numbers to improper fractions.<\/p>\n\n\n\n<p>$2\\frac{2}{5} = \\frac{(2 \\times 5) + 2}{5} = \\frac{12}{5}$<\/p>\n\n\n\n<p>$1\\frac{1}{3} = \\frac{(1 \\times 3) + 1}{3} = \\frac{4}{3}$<\/p>\n\n\n\n<p>Multiply $\\frac{12}{5}$ with $\\frac{4}{3}$.<\/p>\n\n\n\n<p>$\\frac{12}{5} \\times \\frac{4}{3} = \\frac{48}{15} = \\frac{16}{5} = 3\\frac{1}{5}$<\/p>\n\n\n\n<p>Thus,<strong> <\/strong>$2\\frac{2}{5} \\times 1\\frac{1}{3} = 3\\frac{1}{5}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-practice-problems-on-multiplying-mixed-numbers\">Practice Problems on Multiplying Mixed Numbers<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Multiplying Mixed Numbers - Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of these is the first step to multiply mixed numbers?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Multiply whole numbers<\/div><div class=\"spq_answer_block\" data-value=\"1\">Multiplying the numerators<\/div><div class=\"spq_answer_block\" data-value=\"2\">Multiplying the denominators<\/div><div class=\"spq_answer_block\" data-value=\"3\">Converting the mixed numbers into improper fractions<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Converting the mixed numbers into improper fractions<br\/>Converting the mixed numbers to improper fractions\r\nThe first step to multiplying mixed numbers is to convert them into improper fractions.\r\n<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">On multiplying $10\\frac{1}{6}$ by $2\\frac{2}{11}$, we get ____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">whole number<\/div><div class=\"spq_answer_block\" data-value=\"1\">mixed number<\/div><div class=\"spq_answer_block\" data-value=\"2\">proper fraction<\/div><div class=\"spq_answer_block\" data-value=\"3\">negative number<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: mixed number<br\/>$10\\frac{1}{6}\\times\\frac2{2}{11}=\\frac{61}{6}\\times\\frac{24}{11}=\\frac{244}{11}=22\\frac{2}{11}$, i.e., a mixed number<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The value of $4\\frac{2}{9}\\times1\\frac{1}{7}$ is:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$1\\frac{52}{63}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$2\\frac{52}{63}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$4\\frac{52}{63}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{61}{63}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $4\\frac{52}{63}$<br\/>$4\\frac{2}{9}\\times1\\frac{1}{7}=\\frac{38}{9}\\times{8}{7}=\\frac{304}{63}=4\\frac{52}{63}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">On multiplying $\\frac{5}{6}$ by $2\\frac{1}{2}$, we get ____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$2\\frac{1}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$2\\frac{1}{12}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$3\\frac{1}{12}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$1\\frac{1}{6}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $2\\frac{1}{12}$<br\/>$2\\frac{1}{2} = \\frac{5}{2}$<br>\r\n$\\frac{5}{6} \\times \\frac{5}{2} = \\frac{25}{12} = 2\\frac{1}{12}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">$3\\frac{8}{9} \\times 1\\frac{2}{7} =$ <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$1\\frac{2}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$2\\frac{1}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$4$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$5$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $5$<br\/>$3\\frac{8}{9} = \\frac{3\\times9 + 8}{9} = \\frac{35}{9}$ and $1\\frac{2}{7} = \\frac{(1 \\times 7) + 2}{7} = \\frac{9}{7}$<br>\r\n$\\frac{35}{9} \\times \\frac{9}{7} = 5$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">6<\/span><h3 class=\"sqp_question_text\">To multiply mixed numbers with fractions, we convert mixed numbers into<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">decimals<\/div><div class=\"spq_answer_block\" data-value=\"1\">improper fractions<\/div><div class=\"spq_answer_block\" data-value=\"2\">whole numbers<\/div><div class=\"spq_answer_block\" data-value=\"3\">proper fractions<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: improper fractions<br\/>For multiplying mixed numbers with fractions, we convert the mixed number into an improper fraction.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">7<\/span><h3 class=\"sqp_question_text\">$4\\frac{2}{3} \\times 2\\frac{1}{7} = ?$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">10<\/div><div class=\"spq_answer_block\" data-value=\"1\">12<\/div><div class=\"spq_answer_block\" data-value=\"2\">15<\/div><div class=\"spq_answer_block\" data-value=\"3\">20<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 10<br\/>$4\\frac{2}{3} = \\frac{(4 \\times 3) + 2}{3} = \\frac{14}{3}$<br>\r\n$2\\frac{1}{7} = \\frac{15}{7}$<br>\r\n$\\frac{15}{7} \\times \\frac{14}{3} = \\frac{14 \\times 15}{7 \\times 3} = 10$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Multiplying Mixed Numbers - Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Multiplying Mixed Numbers\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of these is the first step to multiply mixed numbers?\",\n                    \"text\": \"Which of these is the first step to multiply mixed numbers?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Converting the mixed numbers to improper fractions\r\nThe first step to multiplying mixed numbers is to convert them into improper fractions.\r\n\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Multiply whole numbers\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Converting the mixed numbers to improper fractions\r\nThe first step to multiplying mixed numbers is to convert them into improper fractions.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Multiplying the numerators\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Converting the mixed numbers to improper fractions\r\nThe first step to multiplying mixed numbers is to convert them into improper fractions.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Multiplying the denominators\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Converting the mixed numbers to improper fractions\r\nThe first step to multiplying mixed numbers is to convert them into improper fractions.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Converting the mixed numbers into improper fractions\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Converting the mixed numbers to improper fractions\r\nThe first step to multiplying mixed numbers is to convert them into improper fractions.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Converting the mixed numbers to improper fractions\r\nThe first step to multiplying mixed numbers is to convert them into improper fractions.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"On multiplying $$10\\\\frac{1}{6}$$ by $$2\\\\frac{2}{11}$$, we get ____.\",\n                    \"text\": \"On multiplying $$10\\\\frac{1}{6}$$ by $$2\\\\frac{2}{11}$$, we get ____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$10\\\\frac{1}{6}\\\\times\\\\frac2{2}{11}=\\\\frac{61}{6}\\\\times\\\\frac{24}{11}=\\\\frac{244}{11}=22\\\\frac{2}{11}$$, i.e., a mixed number\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"whole number\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$10\\\\frac{1}{6}\\\\times\\\\frac2{2}{11}=\\\\frac{61}{6}\\\\times\\\\frac{24}{11}=\\\\frac{244}{11}=22\\\\frac{2}{11}$$, i.e., a mixed number\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"proper fraction\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$10\\\\frac{1}{6}\\\\times\\\\frac2{2}{11}=\\\\frac{61}{6}\\\\times\\\\frac{24}{11}=\\\\frac{244}{11}=22\\\\frac{2}{11}$$, i.e., a mixed number\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"negative number\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$10\\\\frac{1}{6}\\\\times\\\\frac2{2}{11}=\\\\frac{61}{6}\\\\times\\\\frac{24}{11}=\\\\frac{244}{11}=22\\\\frac{2}{11}$$, i.e., a mixed number\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"mixed number\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$10\\\\frac{1}{6}\\\\times\\\\frac2{2}{11}=\\\\frac{61}{6}\\\\times\\\\frac{24}{11}=\\\\frac{244}{11}=22\\\\frac{2}{11}$$, i.e., a mixed number\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$10\\\\frac{1}{6}\\\\times\\\\frac2{2}{11}=\\\\frac{61}{6}\\\\times\\\\frac{24}{11}=\\\\frac{244}{11}=22\\\\frac{2}{11}$$, i.e., a mixed number\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The value of $$4\\\\frac{2}{9}\\\\times1\\\\frac{1}{7}$$ is:\",\n                    \"text\": \"The value of $$4\\\\frac{2}{9}\\\\times1\\\\frac{1}{7}$$ is:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$4\\\\frac{2}{9}\\\\times1\\\\frac{1}{7}=\\\\frac{38}{9}\\\\times{8}{7}=\\\\frac{304}{63}=4\\\\frac{52}{63}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1\\\\frac{52}{63}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{2}{9}\\\\times1\\\\frac{1}{7}=\\\\frac{38}{9}\\\\times{8}{7}=\\\\frac{304}{63}=4\\\\frac{52}{63}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\\\\frac{52}{63}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{2}{9}\\\\times1\\\\frac{1}{7}=\\\\frac{38}{9}\\\\times{8}{7}=\\\\frac{304}{63}=4\\\\frac{52}{63}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{61}{63}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{2}{9}\\\\times1\\\\frac{1}{7}=\\\\frac{38}{9}\\\\times{8}{7}=\\\\frac{304}{63}=4\\\\frac{52}{63}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$4\\\\frac{52}{63}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$4\\\\frac{2}{9}\\\\times1\\\\frac{1}{7}=\\\\frac{38}{9}\\\\times{8}{7}=\\\\frac{304}{63}=4\\\\frac{52}{63}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$4\\\\frac{2}{9}\\\\times1\\\\frac{1}{7}=\\\\frac{38}{9}\\\\times{8}{7}=\\\\frac{304}{63}=4\\\\frac{52}{63}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"On multiplying $$\\\\frac{5}{6}$$ by $$2\\\\frac{1}{2}$$, we get ____.\",\n                    \"text\": \"On multiplying $$\\\\frac{5}{6}$$ by $$2\\\\frac{1}{2}$$, we get ____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\n$$\\\\frac{5}{6} \\\\times \\\\frac{5}{2} = \\\\frac{25}{12} = 2\\\\frac{1}{12}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\\\\frac{1}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\n$$\\\\frac{5}{6} \\\\times \\\\frac{5}{2} = \\\\frac{25}{12} = 2\\\\frac{1}{12}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3\\\\frac{1}{12}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\n$$\\\\frac{5}{6} \\\\times \\\\frac{5}{2} = \\\\frac{25}{12} = 2\\\\frac{1}{12}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1\\\\frac{1}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\n$$\\\\frac{5}{6} \\\\times \\\\frac{5}{2} = \\\\frac{25}{12} = 2\\\\frac{1}{12}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$2\\\\frac{1}{12}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\n$$\\\\frac{5}{6} \\\\times \\\\frac{5}{2} = \\\\frac{25}{12} = 2\\\\frac{1}{12}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\n$$\\\\frac{5}{6} \\\\times \\\\frac{5}{2} = \\\\frac{25}{12} = 2\\\\frac{1}{12}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$3\\\\frac{8}{9} \\\\times 1\\\\frac{2}{7} =$$ \",\n                    \"text\": \"$$3\\\\frac{8}{9} \\\\times 1\\\\frac{2}{7} =$$ \",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$3\\\\frac{8}{9} = \\\\frac{3\\\\times9 + 8}{9} = \\\\frac{35}{9}$$ and $$1\\\\frac{2}{7} = \\\\frac{(1 \\\\times 7) + 2}{7} = \\\\frac{9}{7}$$<br>\r\n$$\\\\frac{35}{9} \\\\times \\\\frac{9}{7} = 5$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1\\\\frac{2}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3\\\\frac{8}{9} = \\\\frac{3\\\\times9 + 8}{9} = \\\\frac{35}{9}$$ and $$1\\\\frac{2}{7} = \\\\frac{(1 \\\\times 7) + 2}{7} = \\\\frac{9}{7}$$<br>\r\n$$\\\\frac{35}{9} \\\\times \\\\frac{9}{7} = 5$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\\\\frac{1}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3\\\\frac{8}{9} = \\\\frac{3\\\\times9 + 8}{9} = \\\\frac{35}{9}$$ and $$1\\\\frac{2}{7} = \\\\frac{(1 \\\\times 7) + 2}{7} = \\\\frac{9}{7}$$<br>\r\n$$\\\\frac{35}{9} \\\\times \\\\frac{9}{7} = 5$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$4$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3\\\\frac{8}{9} = \\\\frac{3\\\\times9 + 8}{9} = \\\\frac{35}{9}$$ and $$1\\\\frac{2}{7} = \\\\frac{(1 \\\\times 7) + 2}{7} = \\\\frac{9}{7}$$<br>\r\n$$\\\\frac{35}{9} \\\\times \\\\frac{9}{7} = 5$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$5$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$3\\\\frac{8}{9} = \\\\frac{3\\\\times9 + 8}{9} = \\\\frac{35}{9}$$ and $$1\\\\frac{2}{7} = \\\\frac{(1 \\\\times 7) + 2}{7} = \\\\frac{9}{7}$$<br>\r\n$$\\\\frac{35}{9} \\\\times \\\\frac{9}{7} = 5$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$3\\\\frac{8}{9} = \\\\frac{3\\\\times9 + 8}{9} = \\\\frac{35}{9}$$ and $$1\\\\frac{2}{7} = \\\\frac{(1 \\\\times 7) + 2}{7} = \\\\frac{9}{7}$$<br>\r\n$$\\\\frac{35}{9} \\\\times \\\\frac{9}{7} = 5$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"To multiply mixed numbers with fractions, we convert mixed numbers into\",\n                    \"text\": \"To multiply mixed numbers with fractions, we convert mixed numbers into\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"For multiplying mixed numbers with fractions, we convert the mixed number into an improper fraction.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"decimals\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"For multiplying mixed numbers with fractions, we convert the mixed number into an improper fraction.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"whole numbers\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"For multiplying mixed numbers with fractions, we convert the mixed number into an improper fraction.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"proper fractions\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"For multiplying mixed numbers with fractions, we convert the mixed number into an improper fraction.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"improper fractions\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"For multiplying mixed numbers with fractions, we convert the mixed number into an improper fraction.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"For multiplying mixed numbers with fractions, we convert the mixed number into an improper fraction.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$4\\\\frac{2}{3} \\\\times 2\\\\frac{1}{7} = ?$$\",\n                    \"text\": \"$$4\\\\frac{2}{3} \\\\times 2\\\\frac{1}{7} = ?$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$4\\\\frac{2}{3} = \\\\frac{(4 \\\\times 3) + 2}{3} = \\\\frac{14}{3}$$<br>\r\n$$2\\\\frac{1}{7} = \\\\frac{15}{7}$$<br>\r\n$$\\\\frac{15}{7} \\\\times \\\\frac{14}{3} = \\\\frac{14 \\\\times 15}{7 \\\\times 3} = 10$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{2}{3} = \\\\frac{(4 \\\\times 3) + 2}{3} = \\\\frac{14}{3}$$<br>\r\n$$2\\\\frac{1}{7} = \\\\frac{15}{7}$$<br>\r\n$$\\\\frac{15}{7} \\\\times \\\\frac{14}{3} = \\\\frac{14 \\\\times 15}{7 \\\\times 3} = 10$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{2}{3} = \\\\frac{(4 \\\\times 3) + 2}{3} = \\\\frac{14}{3}$$<br>\r\n$$2\\\\frac{1}{7} = \\\\frac{15}{7}$$<br>\r\n$$\\\\frac{15}{7} \\\\times \\\\frac{14}{3} = \\\\frac{14 \\\\times 15}{7 \\\\times 3} = 10$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{2}{3} = \\\\frac{(4 \\\\times 3) + 2}{3} = \\\\frac{14}{3}$$<br>\r\n$$2\\\\frac{1}{7} = \\\\frac{15}{7}$$<br>\r\n$$\\\\frac{15}{7} \\\\times \\\\frac{14}{3} = \\\\frac{14 \\\\times 15}{7 \\\\times 3} = 10$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"10\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$4\\\\frac{2}{3} = \\\\frac{(4 \\\\times 3) + 2}{3} = \\\\frac{14}{3}$$<br>\r\n$$2\\\\frac{1}{7} = \\\\frac{15}{7}$$<br>\r\n$$\\\\frac{15}{7} \\\\times \\\\frac{14}{3} = \\\\frac{14 \\\\times 15}{7 \\\\times 3} = 10$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$4\\\\frac{2}{3} = \\\\frac{(4 \\\\times 3) + 2}{3} = \\\\frac{14}{3}$$<br>\r\n$$2\\\\frac{1}{7} = \\\\frac{15}{7}$$<br>\r\n$$\\\\frac{15}{7} \\\\times \\\\frac{14}{3} = \\\\frac{14 \\\\times 15}{7 \\\\times 3} = 10$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-frequently-asked-questions-about-multiplying-mixed-numbers\">Frequently Asked Questions about Multiplying Mixed Numbers<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-6db1ea6d-8b6e-4409-9563-fb77047342de\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-6db1ea6d-8b6e-4409-9563-fb77047342de\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6db1ea6d-8b6e-4409-9563-fb77047342de\"><strong>Are the denominators need to be equal when multiplying two or more mixed numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-6db1ea6d-8b6e-4409-9563-fb77047342de\">\n\n<p>No. The denominators need not be equal to multiply two fractions or two mixed numbers.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-6db1ea6d-8b6e-4409-9563-fb77047342de\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6db1ea6d-8b6e-4409-9563-fb77047342de\"><strong>What is another name for mixed numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-6db1ea6d-8b6e-4409-9563-fb77047342de\">\n\n<p>The other name for mixed numbers is mixed fractions.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-6db1ea6d-8b6e-4409-9563-fb77047342de\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6db1ea6d-8b6e-4409-9563-fb77047342de\"><strong>Is the product of a mixed number with another mixed number always a mixed number?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-6db1ea6d-8b6e-4409-9563-fb77047342de\">\n\n<p>No. A mixed number is always greater than 1. So, the product of 2 numbers greater than 1 will always be greater than 1, i.e., a mixed\/whole number.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-6db1ea6d-8b6e-4409-9563-fb77047342de\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6db1ea6d-8b6e-4409-9563-fb77047342de\"><strong>How can we multiply a fraction with a whole number?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-6db1ea6d-8b6e-4409-9563-fb77047342de\">\n\n<p>To multiply a fraction $\\frac{a}{b}$ with a whole number m, we express the whole number in fractional form as $\\frac{m}{1}$. Next, we multiply the two fractions $\\frac{a}{b}$<strong> <\/strong>and<strong> <\/strong>$\\frac{m}{1}$.\u00a0For example, $\\frac{2}{5} \\times \\frac{8}{1} = \\frac{16}{5}$<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-6db1ea6d-8b6e-4409-9563-fb77047342de\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6db1ea6d-8b6e-4409-9563-fb77047342de\"><strong>How can we divide fractions by mixed numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-6db1ea6d-8b6e-4409-9563-fb77047342de\">\n\n<p>We first convert the mixed number to an improper fraction for dividing fractions with mixed numbers. Next, to divide the fraction with the improper fraction, we multiply the given fraction by the reciprocal of the improper fraction.<\/p>\n\n\n\n<p>$\\frac{2}{3} \\div 2\\frac{1}{7} = \\frac{2}{3} \\div \\frac{15}{7} = \\frac{2}{3} \\times \\frac{7}{15} = \\frac{14}{45}$<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Is Multiplying Mixed Numbers? Multiplying mixed numbers refers to finding the product of two mixed numbers. Before delving into the steps and examples, let&#8217;s take a moment to review some essential basics. A fraction represents parts of a whole. If a cake is divided into eight equal pieces, and three pieces of the cake &#8230; <a title=\"Multiplying Mixed Numbers &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/multiplying-mixed-numbers\" aria-label=\"More on Multiplying Mixed Numbers &#8211; Definition with Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1679","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1679","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1679"}],"version-history":[{"count":34,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1679\/revisions"}],"predecessor-version":[{"id":41794,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1679\/revisions\/41794"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1679"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1679"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1679"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}