{"id":1685,"date":"2022-04-21T12:49:25","date_gmt":"2022-04-21T12:49:25","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1685"},"modified":"2023-09-19T08:28:57","modified_gmt":"2023-09-19T08:28:57","slug":"multiplying-mixed-numbers-definition-with-examples-copy","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/simplify-mixed-numbers","title":{"rendered":"Simplify Mixed Numbers &#8211; Definition, Parts, Examples, FAQs"},"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-821f5343-6481-42eb-a865-ebebe866c8ad\" 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\/simplify-mixed-numbers#0-what-is-simplify-in-math>What is Simplify in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/simplify-mixed-numbers#1-mixed-numbers>Mixed Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/simplify-mixed-numbers#2-parts-of-a-mixed-number>Parts of a Mixed Number<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/simplify-mixed-numbers#6-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/simplify-mixed-numbers#7-practice-problem>Practice Problem<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/simplify-mixed-numbers#8-frequently-asked-questions>Frequently Asked Questions<\/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<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 eplus-wrapper\" id=\"0-what-is-simplify-in-math\">What is Simplify in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Simplify means to make it simple. In mathematics, to simplify or simplification is to reduce the expression\/fraction\/problem in a simpler form. It makes the problem easy for calculations and solving.<\/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 eplus-wrapper\" id=\"1-mixed-numbers\">Mixed Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/mixed-number\" title=\"\">mixed number<\/a> is a combination of a whole number, and a proper fraction. It generally represents a number between any two whole numbers.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Look at the given image, it represents a fraction that is greater than 1 but less than 2. It is thus a mixed number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Simplify-mixed-numbers-1.png\" alt=\"Visual Representation of Mixed Number\" class=\"wp-image-6343\" title=\"Visual Representation of Mixed Number\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Simplify-mixed-numbers-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Simplify-mixed-numbers-1-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Some other examples of mixed numbers are:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"331\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Simplify-mixed-numbers-2.png\" alt=\"Examples of Mixed Numbers\" class=\"wp-image-6344\" title=\"Examples of Mixed Numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Simplify-mixed-numbers-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Simplify-mixed-numbers-2-300x160.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\" 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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 eplus-wrapper\" id=\"2-parts-of-a-mixed-number\">Parts of a Mixed Number<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A mixed number is formed by combining three parts: a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\" title=\"\">whole number<\/a>, a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\" title=\"\">numerator<\/a>, and a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\" title=\"\">denominator<\/a>. The numerator and denominator are part of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/proper-fraction\" title=\"\">proper fraction<\/a> that makes the mixed number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"285\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Simplify-mixed-numbers-3.png\" alt=\"Parts of a Mixed Number\" class=\"wp-image-6345\" title=\"Parts of a Mixed Number\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Simplify-mixed-numbers-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Simplify-mixed-numbers-3-300x138.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-simplify-mixed-numbers\">Simplify Mixed Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Simplify mixed numbers is to convert a mixed number into reduced form. A mixed number is said to be in its simplest form if the highest common factor, i.e., the HCF of its fractional part is 1.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">On simplifying mixed numbers, the value of the fraction remains the same. We can say that the simplified mixed number and the actual mixed number are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/equivalent-fractions\" title=\"\">equivalent fractions<\/a>.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-converting-mixed-numbers-into-improper-fractions\">Converting Mixed Numbers into Improper Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Suppose the mixed number is $2\\frac{1}{3}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> We will multiply the denominator with the whole number part.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, 3 \u00d7 2 = 6.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2:<\/strong> We will add the numerator to the product obtained in step 1.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, 6 + 1 = 7.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3: <\/strong>We will write the value obtained in step 2 over the denominator. This will be the new numerator while the denominator will remain the same.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, we get $\\frac{7}{3}$.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-how-to-simplify-mixed-numbers-step-by-step\">How to Simplify Mixed Numbers Step by Step<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let the fraction be $9\\frac{4}{8}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> We will look at the fractional part.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In this example, we will look at $\\frac{4}{8}$ and will keep the whole part as it is.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The factors of 4 and 8 are<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 4: 1, 2 and 4<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 8: 1, 2, 4 and 8.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2: <\/strong>Determine the highest common factors of numerator and denominator. The highest common factor of 4 and 8 is 4.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3: <\/strong>Divide the numerator and denominator by the highest common factor. The fraction obtained by dividing is in the simplest form. Let&#8217;s divide by 4, then&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{4 \\div 4}{8 \\div 4}$ = $\\frac{1}{2}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the mixed number is $9\\frac{1}{2}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let the fraction be $4\\frac{12}{15}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> The first step is to write the factors of numerator and denominator of the fractional part keeping the whole number aside.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The factors of 12 and 15 are<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 12: 1, 2, 3, 4, 6 and 12.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 15: 1, 3, 5 and 15.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2: <\/strong>The next step is to determine the HCF of the numerator and denominator. The greatest common factor of 12 and 15 is 3.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3:<\/strong> The final step is to divide the numerator and denominator by the HCF. The fraction obtained after dividing is in the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/simplest-form\" title=\"\">simplest form<\/a>.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac {12 \\div 3}{15 \\div 3}$ = $\\frac{4}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, we get $4 \\frac{4}{5}$.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong> Factors of 24: 1, 2, 3, 4, 6, 8, 12 and 24<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: Simplify <\/strong>$2 \\frac{24}{36}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36<\/p>\n\n\n\n<p class=\"eplus-wrapper\">HCF of 24 and 36 = 12<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac {24 \\div 12}{36 \\div 12}$ = $\\frac{2}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, $ 2 \\frac{24}{36}$ = $2 \\frac{2}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2:<\/strong> Add: $ 1 \\frac {4}{8} $ and $ 4 \\frac {16}{32}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong> $ 1 \\frac{4}{8}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">HCF (4, 8) = 4<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$ \\frac {4 \\div 4}{8 \\div 4} $= $ \\frac {1}{2}$ , So we get $ 1 \\frac{1}{2}$ = $ \\frac{3}{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$ 4 \\frac {16}{32}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">HCF (16, 32) = 16<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$ \\frac {16 \\div 16}{32 \\div 16}$ = $ \\frac {1}{2} $, So we get $ 4 \\frac{16}{32} $ = $4 \\frac{1}{2}$ = $ \\frac {9}{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$ \\frac {3}{2}$ + $ \\frac {9}{2}$ = $ \\frac {3 + 9}{2}$ = $\\frac{12}{2}$ = 6<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3: Write the mixed number for the following shaded part and simplify it.&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"470\" height=\"111\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-3.png\" alt=\"Visual representation of three and two-fourths\" class=\"wp-image-6346\" title=\"Visual representation of three and two-fourths\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-3.png 470w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-3-300x71.png 300w\" sizes=\"auto, (max-width: 470px) 100vw, 470px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong> There are 3 whole shaded parts and the fraction shaded in fourth figure is $ \\frac {2}{4}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the mixed number = $ 3 \\frac {2}{4}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">HCF (2, 4) = 2 $ \\frac {2 \\div 2} {4 \\div 2}$ = $ \\frac {1}{2}$ , So we get $ 3 \\frac{2}{4}$ = $ 3 \\frac {1}{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problem\">Practice Problem<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Simplifying Mixed Numbers<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What should replace the blank? $7\\frac{18}{30}$  ____  $7\\frac{20}{25}$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\gt$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\lt$<\/div><div class=\"spq_answer_block\" data-value=\"2\">=<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/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: $\\lt$<br\/>$7\\frac{18}{30} = 7\\frac{3}{5}$ and $7\\frac{20}{25} = 7\\frac{4}{5}$<br>\r\nOn comparing $\\frac{3}{5}$ and $\\frac{4}{5}$, we get $\\frac{3}{5}$ $\\lt$ $\\frac{4}{5}$<br>\r\nWe get 7$\\frac{18}{30}$ $\\lt$ 7$\\frac{20}{25}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the product of $10\\frac{3}{6}$ by $1\\frac{22}{33}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$ 12 \\frac {1}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$ 17 \\frac {2}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$ 17 \\frac {1}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$ 15 \\frac {2}{3}$<\/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: $ 17 \\frac {1}{2}$<br\/>$ 10 \\frac {3}{6}$ = $ 10 \\frac{1}{2}$ = $ \\frac{21}{2}$<br>\r\n$ 1 \\frac {22}{33}$ = $ 1 \\frac{2}{3}$ = $ \\frac{5}{3}$<br>\r\n$ \\frac {21}{2} x {5}{3}$ = $ \\frac{35}{2}$ = $ 17 \\frac{1}{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following is not true for a mixed number?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">It is also called mixed fraction.<\/div><div class=\"spq_answer_block\" data-value=\"1\">It is always greater than 1.<\/div><div class=\"spq_answer_block\" data-value=\"2\">It consists of a whole and a part.<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/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: None of these<br\/>None of these<\/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\": \"Simplifying Mixed Numbers\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Simplifying Mixed Numbers\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What should replace the blank? $$7\\\\frac{18}{30}$$  ____  $$7\\\\frac{20}{25}$$\",\n                    \"text\": \"What should replace the blank? $$7\\\\frac{18}{30}$$  ____  $$7\\\\frac{20}{25}$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$7\\\\frac{18}{30} = 7\\\\frac{3}{5}$$ and $$7\\\\frac{20}{25} = 7\\\\frac{4}{5}$$<br>\r\nOn comparing $$\\\\frac{3}{5}$$ and $$\\\\frac{4}{5}$$, we get $$\\\\frac{3}{5}$$ $$\\\\lt$$ $$\\\\frac{4}{5}$$<br>\r\nWe get 7$$\\\\frac{18}{30}$$ $$\\\\lt$$ 7$$\\\\frac{20}{25}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\gt$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$7\\\\frac{18}{30} = 7\\\\frac{3}{5}$$ and $$7\\\\frac{20}{25} = 7\\\\frac{4}{5}$$<br>\r\nOn comparing $$\\\\frac{3}{5}$$ and $$\\\\frac{4}{5}$$, we get $$\\\\frac{3}{5}$$ $$\\\\lt$$ $$\\\\frac{4}{5}$$<br>\r\nWe get 7$$\\\\frac{18}{30}$$ $$\\\\lt$$ 7$$\\\\frac{20}{25}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"=\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$7\\\\frac{18}{30} = 7\\\\frac{3}{5}$$ and $$7\\\\frac{20}{25} = 7\\\\frac{4}{5}$$<br>\r\nOn comparing $$\\\\frac{3}{5}$$ and $$\\\\frac{4}{5}$$, we get $$\\\\frac{3}{5}$$ $$\\\\lt$$ $$\\\\frac{4}{5}$$<br>\r\nWe get 7$$\\\\frac{18}{30}$$ $$\\\\lt$$ 7$$\\\\frac{20}{25}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$7\\\\frac{18}{30} = 7\\\\frac{3}{5}$$ and $$7\\\\frac{20}{25} = 7\\\\frac{4}{5}$$<br>\r\nOn comparing $$\\\\frac{3}{5}$$ and $$\\\\frac{4}{5}$$, we get $$\\\\frac{3}{5}$$ $$\\\\lt$$ $$\\\\frac{4}{5}$$<br>\r\nWe get 7$$\\\\frac{18}{30}$$ $$\\\\lt$$ 7$$\\\\frac{20}{25}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\lt$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$7\\\\frac{18}{30} = 7\\\\frac{3}{5}$$ and $$7\\\\frac{20}{25} = 7\\\\frac{4}{5}$$<br>\r\nOn comparing $$\\\\frac{3}{5}$$ and $$\\\\frac{4}{5}$$, we get $$\\\\frac{3}{5}$$ $$\\\\lt$$ $$\\\\frac{4}{5}$$<br>\r\nWe get 7$$\\\\frac{18}{30}$$ $$\\\\lt$$ 7$$\\\\frac{20}{25}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$7\\\\frac{18}{30} = 7\\\\frac{3}{5}$$ and $$7\\\\frac{20}{25} = 7\\\\frac{4}{5}$$<br>\r\nOn comparing $$\\\\frac{3}{5}$$ and $$\\\\frac{4}{5}$$, we get $$\\\\frac{3}{5}$$ $$\\\\lt$$ $$\\\\frac{4}{5}$$<br>\r\nWe get 7$$\\\\frac{18}{30}$$ $$\\\\lt$$ 7$$\\\\frac{20}{25}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the product of $$10\\\\frac{3}{6}$$ by $$1\\\\frac{22}{33}$$?\",\n                    \"text\": \"What is the product of $$10\\\\frac{3}{6}$$ by $$1\\\\frac{22}{33}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$ 10 \\\\frac {3}{6}$$ = $$ 10 \\\\frac{1}{2}$$ = $$ \\\\frac{21}{2}$$<br>\r\n$$ 1 \\\\frac {22}{33}$$ = $$ 1 \\\\frac{2}{3}$$ = $$ \\\\frac{5}{3}$$<br>\r\n$$ \\\\frac {21}{2} x {5}{3}$$ = $$ \\\\frac{35}{2}$$ = $$ 17 \\\\frac{1}{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$ 12 \\\\frac {1}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$ 10 \\\\frac {3}{6}$$ = $$ 10 \\\\frac{1}{2}$$ = $$ \\\\frac{21}{2}$$<br>\r\n$$ 1 \\\\frac {22}{33}$$ = $$ 1 \\\\frac{2}{3}$$ = $$ \\\\frac{5}{3}$$<br>\r\n$$ \\\\frac {21}{2} x {5}{3}$$ = $$ \\\\frac{35}{2}$$ = $$ 17 \\\\frac{1}{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$ 17 \\\\frac {2}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$ 10 \\\\frac {3}{6}$$ = $$ 10 \\\\frac{1}{2}$$ = $$ \\\\frac{21}{2}$$<br>\r\n$$ 1 \\\\frac {22}{33}$$ = $$ 1 \\\\frac{2}{3}$$ = $$ \\\\frac{5}{3}$$<br>\r\n$$ \\\\frac {21}{2} x {5}{3}$$ = $$ \\\\frac{35}{2}$$ = $$ 17 \\\\frac{1}{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$ 15 \\\\frac {2}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$ 10 \\\\frac {3}{6}$$ = $$ 10 \\\\frac{1}{2}$$ = $$ \\\\frac{21}{2}$$<br>\r\n$$ 1 \\\\frac {22}{33}$$ = $$ 1 \\\\frac{2}{3}$$ = $$ \\\\frac{5}{3}$$<br>\r\n$$ \\\\frac {21}{2} x {5}{3}$$ = $$ \\\\frac{35}{2}$$ = $$ 17 \\\\frac{1}{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$ 17 \\\\frac {1}{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$ 10 \\\\frac {3}{6}$$ = $$ 10 \\\\frac{1}{2}$$ = $$ \\\\frac{21}{2}$$<br>\r\n$$ 1 \\\\frac {22}{33}$$ = $$ 1 \\\\frac{2}{3}$$ = $$ \\\\frac{5}{3}$$<br>\r\n$$ \\\\frac {21}{2} x {5}{3}$$ = $$ \\\\frac{35}{2}$$ = $$ 17 \\\\frac{1}{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$ 10 \\\\frac {3}{6}$$ = $$ 10 \\\\frac{1}{2}$$ = $$ \\\\frac{21}{2}$$<br>\r\n$$ 1 \\\\frac {22}{33}$$ = $$ 1 \\\\frac{2}{3}$$ = $$ \\\\frac{5}{3}$$<br>\r\n$$ \\\\frac {21}{2} x {5}{3}$$ = $$ \\\\frac{35}{2}$$ = $$ 17 \\\\frac{1}{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is not true for a mixed number?\",\n                    \"text\": \"Which of the following is not true for a mixed number?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"None of these\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It is also called mixed fraction.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A, B and C are correct for mixed numbers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It is always greater than 1.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A, B and C are correct for mixed numbers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It consists of a whole and a part.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A, B and C are correct for mixed numbers.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"None of these\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A, B and C are correct for mixed numbers.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A, B and C are correct for mixed numbers.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-ba631b95-3964-44f0-a3eb-9dfbc87ed693\" 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-ba631b95-3964-44f0-a3eb-9dfbc87ed693\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ba631b95-3964-44f0-a3eb-9dfbc87ed693\"><strong>Why do we use 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-ba631b95-3964-44f0-a3eb-9dfbc87ed693\">\n\n<p>Mixed numbers are helpful when we count the whole things and parts of things together. For example, Jamie ordered four pepperoni pizzas for her and two friends to enjoy for her slumber party Friday night. Aunt Marie ate half of one of the pizzas without knowing they were for the girls. So, the pizza left for girls is $ 3 \\frac{1}{2}$.<\/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-ba631b95-3964-44f0-a3eb-9dfbc87ed693\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ba631b95-3964-44f0-a3eb-9dfbc87ed693\"><strong>Can a proper fraction be written as 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-1-ba631b95-3964-44f0-a3eb-9dfbc87ed693\">\n\n<p>No, we cannot write the proper fraction as a mixed number as the numerator is less than the denominator in the proper fraction.<\/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-ba631b95-3964-44f0-a3eb-9dfbc87ed693\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ba631b95-3964-44f0-a3eb-9dfbc87ed693\"><strong>Can we simplify mixed number by converting it to an improper fraction?<\/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-ba631b95-3964-44f0-a3eb-9dfbc87ed693\">\n\n<p>Yes, we can also simplify a mixed number by first converting it to an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/improper-fraction\" title=\"\">improper fraction<\/a> and then again by converting the simplified improper fraction into a mixed number.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is Simplify in Math? Simplify means to make it simple. In mathematics, to simplify or simplification is to reduce the expression\/fraction\/problem in a simpler form. It makes the problem easy for calculations and solving. Recommended Games Add 1-Digit Numbers Game Play Add 2-Digit and 1-Digit Numbers Game Play Add 2-Digit Numbers By Regrouping Game &#8230; <a title=\"Simplify Mixed Numbers &#8211; Definition, Parts, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/simplify-mixed-numbers\" aria-label=\"More on Simplify Mixed Numbers &#8211; Definition, Parts, Examples, FAQs\">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-1685","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\/1685","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=1685"}],"version-history":[{"count":94,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1685\/revisions"}],"predecessor-version":[{"id":34215,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1685\/revisions\/34215"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1685"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1685"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1685"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}