{"id":26846,"date":"2023-03-24T16:31:26","date_gmt":"2023-03-24T16:31:26","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=26846"},"modified":"2024-02-05T15:25:25","modified_gmt":"2024-02-05T15:25:25","slug":"mixed-numbers-to-improper-fractions-conversion-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/mixed-number-to-improper-fraction","title":{"rendered":"Mixed Numbers to Improper Fractions Conversion: 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-c0a97a2a-13b5-4599-9e08-589d9374bbe7\" 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\/mixed-number-to-improper-fraction#0-what-is-mixed-numbers-to-improper-fractions-conversion>What Is Mixed Numbers to Improper Fractions Conversion?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/mixed-number-to-improper-fraction#3-how-to-convert-a-mixed-number-to-an-improper-fraction>How to Convert a Mixed Number to an Improper Fraction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/mixed-number-to-improper-fraction#5-mixed-number-to-improper-fraction-conversion-chart>Mixed Number to Improper Fraction Conversion Chart<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/mixed-number-to-improper-fraction#9-solved-examples-on-mixed-number-to-improper-fraction-conversion>Solved Examples on Mixed Number to Improper Fraction Conversion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/mixed-number-to-improper-fraction#10-practice-problems-on-mixed-number-to-improper-fraction-conversion>Practice Problems on Mixed Number to Improper Fraction Conversion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/mixed-number-to-improper-fraction#11-frequently-asked-questions-on-mixed-number-to-improper-fraction-conversion>Frequently Asked Questions on Mixed Number to Improper Fraction Conversion<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-mixed-numbers-to-improper-fractions-conversion\">What Is Mixed Numbers to Improper Fractions Conversion?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A whole number and a proper fraction together create a mixed number. An improper fraction is a fraction in which the numerator is greater than the denominator.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For instance, $\\frac{2}{3}$ is a proper fraction since its denominator is bigger than its numerator, but $\\frac{3}{2}$ is an improper fraction since \u201cnumerator $\\gt$ denominator.\u201d&nbsp;&nbsp;<\/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\/2023\/08\/proper-fraction-improper-fraction-and-mixed-fraction-examples.png\" alt=\"Proper fraction, improper fraction, and mixed fraction examples\" class=\"wp-image-33104\" title=\"Proper fraction, improper fraction, and mixed fraction examples\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/proper-fraction-improper-fraction-and-mixed-fraction-examples.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/proper-fraction-improper-fraction-and-mixed-fraction-examples-300x138.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Any mixed number can be written in its improper fraction form and vice versa since they both basically represent the same fraction, just written in different forms. How can we turn a mixed number into an improper fraction? We will learn in this article!&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"1-mixed-fractions\">Mixed Fractions<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">Mixed fraction is composed of a whole number and a proper fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example:&nbsp; $2\\frac{1}{7}$ is a mixed fraction, where 2 is the whole number part and $\\frac{1}{7}$ is a proper fraction. This mixed number (or mixed fraction) lies between 2 and 3.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"292\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/mixed-number-example.png\" alt=\"Mixed number example\" class=\"wp-image-33105\" title=\"Mixed number example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/mixed-number-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/mixed-number-example-300x141.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"2-improper-fraction\">Improper Fraction<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate. For instance, $\\frac{7}{3}$ is an improper fraction since the numerator 7 is bigger than the denominator 3.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"358\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/improper-fraction-example.png\" alt=\"Improper fraction example\" class=\"wp-image-33106\" title=\"Improper fraction example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/improper-fraction-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/improper-fraction-example-300x173.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The improper fraction $\\frac{7}{3}$&nbsp; is displayed below. Note that $\\frac{7}{3}$ in the mixed number form is $2\\frac{1}{3}$. Thus, you can see that there are 2 wholes and fraction $\\frac{1}{3}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"295\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/visual-representation-of-an-improper-fraction.png\" alt=\"Visual representation of an improper fraction\" class=\"wp-image-33107\" title=\"Visual representation of an improper fraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/visual-representation-of-an-improper-fraction.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/visual-representation-of-an-improper-fraction-300x143.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/10-and-100-more-than-the-same-number\" 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_1_10_100_more_same_num_pt.png\" alt=\"10 and 100 More than the Same Number 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\">10 and 100 More than the Same Number 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-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-10-to-a-3-digit-number\" 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_10_number_pt.png\" alt=\"Add 10 to a 3-Digit Number 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 10 to a 3-Digit Number 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-100-to-a-3-digit-number\" 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_100_horizontal_pt.png\" alt=\"Add 100 to a 3-Digit Number 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 100 to a 3-Digit Number 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><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=\"3-how-to-convert-a-mixed-number-to-an-improper-fraction\">How to Convert a Mixed Number to an Improper Fraction<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s understand steps to convert a mixed number to an improper fraction with an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:<\/strong> Convert the mixed number $3\\frac{4}{5}$ to improper fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1: <\/strong>Note down the whole number,&nbsp; numerator, and denominator in the given mixed number.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, the whole number $= 3$, Numerator $= 4$, Denominator $= 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2:<\/strong> Multiply the denominator with the whole number.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, multiply 5 and 3.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$5 \\times 3 = 15$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3:<\/strong> Add the numerator to this product.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Add 15 and 4 (numerator): $15 + 4 = 19$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 4:<\/strong> This sum represents the numerator of the improper fraction. The denominator stays the same as the original fraction in the given mixed number.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, $3\\frac{4}{5} = \\frac{19}{5}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"379\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/mixed-number-to-improper-fraction-example.png\" alt=\"Mixed number to improper fraction example\" class=\"wp-image-33108\" title=\"Mixed number to improper fraction example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/mixed-number-to-improper-fraction-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/mixed-number-to-improper-fraction-example-300x183.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\/10-and-100-more-than-a-3-digit-number\" 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\/10-and-100-more-than-a-3-digit-number.jpeg\" alt=\"10 and 100 More than a 3-digit Number\">\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\/100-more-and-100-less-than-a-3-digit-number\" 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\/100-more-and-100-less-than-a-3-digit-number.jpeg\" alt=\"100 More and 100 Less than a 3-digit Number\">\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\/100-more-than-a-3-digit-number\" 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\/100-more-than-a-3-digit-number.jpeg\" alt=\"100 More than a 3-digit Number\">\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-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 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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><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 = 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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=\"4-how-do-you-convert-an-improper-fraction-into-a-mixed-fraction\">How Do You Convert an Improper Fraction into a Mixed Fraction<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s understand steps to convert an improper fraction to a mixed number with an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:<\/strong> Convert the improper fraction $\\frac{15}{7}$ to a mixed number.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> Divide the fraction&#8217;s numerator by its denominator. Note down the quotient and the remainder.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, we divide 15 by 7.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that $(7 \\times 2) + 1 =15$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Quotient $= 2$ and Remainder$ = 1$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2:<\/strong> The quotient represents the whole number part of the mixed number. The remainder represents the numerator. The denominator stays the same.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;Thus, $\\frac{15}{7} = 2\\frac{1}{7}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"297\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/improper-fraction-to-mixed-number.png\" alt=\"Improper fraction to mixed number\" class=\"wp-image-33109\" title=\"Improper fraction to mixed number\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/improper-fraction-to-mixed-number.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/improper-fraction-to-mixed-number-300x144.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2:<\/strong> Consider the improper fraction $\\frac{7}{3}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"374\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/steps-for-improper-fraction-to-mixed-number-conversion.png\" alt=\"Steps for improper fraction to mixed number conversion\" class=\"wp-image-33110\" title=\"Steps for improper fraction to mixed number conversion\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/steps-for-improper-fraction-to-mixed-number-conversion.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/steps-for-improper-fraction-to-mixed-number-conversion-300x181.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-mixed-number-to-improper-fraction-conversion-chart\">Mixed Number to Improper Fraction Conversion Chart<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s take a look at a few examples of mixed number to improper fraction conversion.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Mixed Number<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Improper Fraction<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$1\\frac{1}{2}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{3}{2}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$2\\frac{3}{4}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{11}{4}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$3\\frac{5}{3}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{14}{3}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$7\\frac{1}{2}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{15}{2}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$4\\frac{6}{7}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{34}{7}$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-adding-mixed-fractions\">Adding Mixed Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">We can add mixed fractions easily by simply converting them into improper fractions.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example: <\/strong>Find the sum: $4\\frac{1}{3} + 5\\frac{4}{3}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Convert both the mixed numbers to improper fractions.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$4\\frac{1}{3} = \\frac{(4 \\times 3) + 1}{3} = \\frac{13}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5\\frac{4}{3} = \\frac{(5 \\times 3) + 4}{3} = \\frac{19}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Add the improper fractions by adding the numerators and keeping the same denominator.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{13}{3} + \\frac{19}{3} = \\frac{32}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, we can convert the improper fraction $\\frac{32}{3}$ to a mixed number.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{32}{3} = 10\\frac{2}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, $4\\frac{1}{3} + 5\\frac{4}{3} = 10\\frac{2}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When dealing with unlike fractions, we first find the Least Common Multiple (LCM) of the denominators and convert them to like fractions. They can then be added in the normal manner.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:&nbsp; <\/strong>$1\\frac{1}{2} + 2\\frac{1}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$1\\frac{1}{2} = \\frac{(2 \\times 1) + 1}{2} = \\frac{3}{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$2\\frac{1}{3} = \\frac{(3 \\times 2) + 1}{3} = \\frac{7}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, LCM $(2,3)\\; = 6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$1\\frac{1}{2} + 2\\frac{1}{3} = \\frac{3}{2} + \\frac{7}{3}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{9}{6} + \\frac{14}{6}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{23}{6}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 3\\frac{5}{6}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-subtracting-mixed-fractions\">Subtracting Mixed Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">We can subtract mixed fractions by converting them into improper fractions. The steps are similar to steps of adding mixed fractions; only the operation is different.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we learned how to convert a mixed fraction to an improper fraction and vice versa. Let\u2019s solve a few examples to understand the concept better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-solved-examples-on-mixed-number-to-improper-fraction-conversion\">Solved Examples on Mixed Number to Improper Fraction Conversion<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Convert the mixed number <\/strong>$16\\frac{2}{3}$<strong> to an improper fraction.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiply the denominator and the whole number.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$3 \\times 16 = 48$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Add the remainder to it.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$48 + 2 = 50$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Numerator $= 50$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Denominator $= 3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, $16\\frac{2}{3} = \\frac{(16 \\times 3) + 2}{3} = \\frac{50}{3}$<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Convert the improper fraction <\/strong>$\\frac{17}{5}$ <strong>to a mixed number.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution: <\/strong>Given improper fraction $= \\frac{17}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">First, divide 17 by 5.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"139\" height=\"210\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/17-divided-by-5-leaves-quotient-3-and-remainder-2.png\" alt=\"17 divided by 5 leaves quotient = 3 and remainder = 2\" class=\"wp-image-33112\" title=\"17 divided by 5 leaves quotient = 3 and remainder = 2\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Quotient $= 3$ and Remainder $= 2$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, $\\frac{17}{5} = 3\\frac{2}{5}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Convert the mixed number<\/strong> $1\\frac{3}{7}$<strong> to improper fraction.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$1\\frac{3}{7} = \\frac{(1 \\times 7) + 3}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{7 + 3}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{10}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Improper fraction $= \\frac{10}{7}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-practice-problems-on-mixed-number-to-improper-fraction-conversion\">Practice Problems on Mixed Number to Improper Fraction Conversion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Mixed Numbers to Improper Fractions Conversion: Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Convert $5\\frac{2}{3}$ to an improper fraction.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{18}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{78}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{17}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{32}{5}$<\/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: $\\frac{17}{3}$<br\/>$5\\frac{2}{3} = \\frac{(5 \\times 3) + 2}{3} = \\frac{17}{3}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The mixed number $6\\frac{4}{7}$ is equivalent to which improper fraction?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{46}{7}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{55}{7}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{61}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{8}{9}$<\/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: $\\frac{46}{7}$<br\/>$6\\frac{4}{7} = \\frac{(7 \\times 6) + 4}{7} = \\frac{46}{7}$<br>\r\nTherefore, $6\\frac{4}{7} = \\frac{46}{7}$<\/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\">The mixed number is composed of a whole number and _____________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">an improper fraction<\/div><div class=\"spq_answer_block\" data-value=\"1\">a proper fraction<\/div><div class=\"spq_answer_block\" data-value=\"2\">a unit fraction<\/div><div class=\"spq_answer_block\" data-value=\"3\">Like 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: Like fractions<br\/>The mixed number is composed of a whole number and a proper fraction.<\/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\": \"Mixed Numbers to Improper Fractions Conversion: Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Mixed Numbers to Improper Fractions Conversion\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert $$5\\\\frac{2}{3}$$ to an improper fraction.\",\n                    \"text\": \"Convert $$5\\\\frac{2}{3}$$ to an improper fraction.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$5\\\\frac{2}{3} = \\\\frac{(5 \\\\times 3) + 2}{3} = \\\\frac{17}{3}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{18}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$5\\\\frac{2}{3} = \\\\frac{(5 \\\\times 3) + 2}{3} = \\\\frac{17}{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{78}{6}$$\",\n                      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\"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{17}{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$5\\\\frac{2}{3} = \\\\frac{(5 \\\\times 3) + 2}{3} = \\\\frac{17}{3}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$5\\\\frac{2}{3} = \\\\frac{(5 \\\\times 3) + 2}{3} = \\\\frac{17}{3}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The mixed number $$6\\\\frac{4}{7}$$ is equivalent to which improper fraction?\",\n                    \"text\": \"The mixed number $$6\\\\frac{4}{7}$$ is equivalent to which improper fraction?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$6\\\\frac{4}{7} = \\\\frac{(7 \\\\times 6) + 4}{7} = \\\\frac{46}{7}$$<br>\r\nTherefore, $$6\\\\frac{4}{7} = \\\\frac{46}{7}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{55}{7}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6\\\\frac{4}{7} = \\\\frac{(7 \\\\times 6) + 4}{7} = \\\\frac{46}{7}$$<br>\r\nTherefore, $$6\\\\frac{4}{7} = \\\\frac{46}{7}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{61}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6\\\\frac{4}{7} = \\\\frac{(7 \\\\times 6) + 4}{7} = \\\\frac{46}{7}$$<br>\r\nTherefore, $$6\\\\frac{4}{7} = \\\\frac{46}{7}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{8}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6\\\\frac{4}{7} = \\\\frac{(7 \\\\times 6) + 4}{7} = \\\\frac{46}{7}$$<br>\r\nTherefore, $$6\\\\frac{4}{7} = \\\\frac{46}{7}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{46}{7}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$6\\\\frac{4}{7} = \\\\frac{(7 \\\\times 6) + 4}{7} = \\\\frac{46}{7}$$<br>\r\nTherefore, $$6\\\\frac{4}{7} = \\\\frac{46}{7}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$6\\\\frac{4}{7} = \\\\frac{(7 \\\\times 6) + 4}{7} = \\\\frac{46}{7}$$<br>\r\nTherefore, $$6\\\\frac{4}{7} = \\\\frac{46}{7}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The mixed number is composed of a whole number and _____________.\",\n                    \"text\": \"The mixed number is composed of a whole number and _____________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The mixed number is composed of a whole number and a proper fraction.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"an improper fraction\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The mixed number is composed of a whole number and a proper fraction.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"a proper fraction\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The mixed number is composed of a whole number and a proper fraction.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"a unit fraction\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The mixed number is composed of a whole number and a proper fraction.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Like fractions\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The mixed number is composed of a whole number and a proper fraction.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The mixed number is composed of a whole number and a proper fraction.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-frequently-asked-questions-on-mixed-number-to-improper-fraction-conversion\">Frequently Asked Questions on Mixed Number to Improper Fraction Conversion<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-ae8fed1e-8244-4d3e-b8fd-7f86091f721b\" 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-ae8fed1e-8244-4d3e-b8fd-7f86091f721b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ae8fed1e-8244-4d3e-b8fd-7f86091f721b\"><strong>What is a mixed fraction (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-0-ae8fed1e-8244-4d3e-b8fd-7f86091f721b\">\n\n<p class=\"eplus-wrapper\">A mixed fraction is one that is represented by a whole number and a proper fraction. For example, $2\\frac{1}{3}$ is a mixed number, where 2 is the whole number and $\\frac{1}{3}$ is 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-1-ae8fed1e-8244-4d3e-b8fd-7f86091f721b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ae8fed1e-8244-4d3e-b8fd-7f86091f721b\"><strong>How are mixed fractions subtracted?<\/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-ae8fed1e-8244-4d3e-b8fd-7f86091f721b\">\n\n<p class=\"eplus-wrapper\">Mixed fractions can be subtracted using the same strategy as addition. In order to subtract mixed numbers, we must first transform them into improper 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-ae8fed1e-8244-4d3e-b8fd-7f86091f721b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ae8fed1e-8244-4d3e-b8fd-7f86091f721b\"><strong>How can mixed fractions be added?<\/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-ae8fed1e-8244-4d3e-b8fd-7f86091f721b\">\n\n<p class=\"eplus-wrapper\">We can convert mixed fractions into improper fractions to add them.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The next step is to determine whether or not the denominators of the provided fractions are equal. If the denominators are not equal, we make them equal using the LCM method.&nbsp;Example: $2\\frac{1}{3} + 2\\frac{1}{5} = \\frac{7}{3} + \\frac{11}{5} = \\frac{35 + 33}{15} = \\frac{68}{15} = 4\\frac{8}{15}$<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Mixed Numbers to Improper Fractions Conversion? A whole number and a proper fraction together create a mixed number. An improper fraction is a fraction in which the numerator is greater than the denominator.&nbsp;&nbsp; For instance, $\\frac{2}{3}$ is a proper fraction since its denominator is bigger than its numerator, but $\\frac{3}{2}$ is an improper &#8230; <a title=\"Mixed Numbers to Improper Fractions Conversion: Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/mixed-number-to-improper-fraction\" aria-label=\"More on Mixed Numbers to Improper Fractions Conversion: 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-26846","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\/26846","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=26846"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26846\/revisions"}],"predecessor-version":[{"id":39916,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26846\/revisions\/39916"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=26846"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=26846"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=26846"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}