{"id":30859,"date":"2023-06-19T10:22:25","date_gmt":"2023-06-19T10:22:25","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=30859"},"modified":"2023-11-15T17:43:21","modified_gmt":"2023-11-15T17:43:21","slug":"improper-fraction-to-mixed-number-conversion-example-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/improper-fraction-to-mixed-number","title":{"rendered":"Improper Fraction to Mixed Number &#8211;\u00a0 Conversion, Example, Facts, 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-280aa55e-d553-4a58-92cb-381da49f1907\" 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\/improper-fraction-to-mixed-number#0-what-is-improper-fraction-to-mixed-number-conversion>What Is Improper Fraction to Mixed Number Conversion?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/improper-fraction-to-mixed-number#1-how-to-convert-an-improper-fraction-to-a-mixed-number>How to Convert an Improper Fraction to a Mixed Number<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/improper-fraction-to-mixed-number#6-solved-examples-on-improper-fraction-to-mixed-number-conversion>Solved Examples on Improper Fraction to Mixed Number Conversion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/improper-fraction-to-mixed-number#7-practice-problems-on-improper-fraction-to-mixed-number-conversion>Practice Problems on Improper Fraction to Mixed Number Conversion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/improper-fraction-to-mixed-number#8-frequently-asked-questions-on-improper-fraction-to-mixed-number-conversion>Frequently Asked Questions on Improper Fraction to Mixed Number Conversion<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-improper-fraction-to-mixed-number-conversion\">What Is Improper Fraction to Mixed Number Conversion?<\/h2>\n\n\n\n<p>Improper fraction to mixed number conversion helps us express any given improper fraction in the form of a mixed number (or mixed fraction).&nbsp;<\/p>\n\n\n\n<p>Note that an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/improper-fraction\">improper fraction<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/mixed-number\">mixed number<\/a> basically mean the same thing, but the way of representation is different. Let\u2019s see how.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"531\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/Improper-fraction-and-mixed-number-visual-model.png\" alt=\"Improper fraction and mixed number visual model\" class=\"wp-image-35922\" title=\"Improper fraction and mixed number visual model\"\/><\/figure>\n\n\n\n<p>An improper fraction is a <a href=\"http:\/\/fraction\">fraction<\/a> whose numerator is greater than the denominator. Since the numerator &gt; denominator, the value of an improper fraction is always greater than 1.&nbsp;<\/p>\n\n\n\n<p>Examples: $\\frac{3}{2}, \\frac{9}{4}, \\frac{47}{12}$&nbsp;<\/p>\n\n\n\n<p>A mixed fraction is a fraction which consists of a whole number and a proper fraction. Thus, a mixed number is always greater than 1.&nbsp;<\/p>\n\n\n\n<p>Examples: $1\\frac{1}{2}, 2\\frac{1}{4}, 3\\frac{11}{12}$&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"512\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/visualizing-improper-fraction-to-mixed-number-conversion.png\" alt=\"Visualizing improper fraction to mixed number conversion\" class=\"wp-image-35923\" title=\"Visualizing improper fraction to mixed number conversion\"\/><\/figure>\n\n\n\n<p>So, how do we turn an improper fraction into a mixed number? Let\u2019s find out!<\/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\/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 = 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container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-how-to-convert-an-improper-fraction-to-a-mixed-number\">How to Convert an Improper Fraction to a Mixed Number<\/h2>\n\n\n\n<p>Let\u2019s understand the steps with an example. Suppose we have to convert an improper fraction $\\frac{7}{4}$ to a mixed number. If we visualize $\\frac{7}{4}$, we get&nbsp;<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Divide the numerator by the denominator. In this case, we get<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"361\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/division-of-7-by-4.png\" alt=\"Division of 7 by 4\" class=\"wp-image-35925\" title=\"Division of 7 by 4 \"\/><\/figure>\n\n\n\n<p><strong>Step 2:<\/strong> Note down the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/quotient\">quotient<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/remainder\">remainder<\/a>. The quotient acts as the whole number part of the mixed number. The remainder is the new numerator. The denominator stays the same.<\/p>\n\n\n\n<p>In simple words, write the mixed number in the form<\/p>\n\n\n\n<p>&nbsp;$Quotient\\frac{Remainder}{Divisor}$.&nbsp;<\/p>\n\n\n\n<p>In this case, we get $\\frac{7}{4} = 1 R 3$<\/p>\n\n\n\n<p>It means that quotient $= 1$ and remainder $= 3$<\/p>\n\n\n\n<p>Thus, $\\frac{7}{4} = 1\\frac{3}{4}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"486\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/visual-representation-of-an-improper-fraction-and-a-mixed-number.png\" alt=\"Visual representation of an improper fraction and a mixed number\" class=\"wp-image-35926\" title=\"Visual representation of an improper fraction and a mixed number\"\/><\/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 href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum\" 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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\" 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examples.<\/p>\n\n\n\n<p><strong>Example 1:<\/strong>$\\frac{7}{3} = 2\\frac{1}{3}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"373\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/conversion-of-an-improper-fraction-73-to-mixed-number.webp\" alt=\"Conversion of an improper fraction 7\/3 to mixed number\" class=\"wp-image-35927\" title=\"Conversion of an improper fraction 7\/3 to mixed number\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/conversion-of-an-improper-fraction-73-to-mixed-number.webp 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/conversion-of-an-improper-fraction-73-to-mixed-number-300x181.webp 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p><strong>Example 2:<\/strong><strong> <\/strong>$\\frac{14}{3} = 4\\frac{2}{3}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"344\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/converting-improper-fraction-143-to-mixed-number.webp\" alt=\"Converting improper fraction 14\/3 to mixed number\" class=\"wp-image-35928\" title=\"Converting improper fraction 14\/3 to mixed number\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/converting-improper-fraction-143-to-mixed-number.webp 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/converting-improper-fraction-143-to-mixed-number-300x166.webp 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-addition-of-improper-fraction-and-mixed-number\">Addition of Improper Fraction and Mixed Number<\/h2>\n\n\n\n<p>Addition of an improper fraction and a mixed number is quite easy. It can be done easily by converting the mixed number into an improper fraction. We will discuss two cases here.<\/p>\n\n\n\n<p><strong>Same Denominators<\/strong><\/p>\n\n\n\n<p>If the denominators of two fractions are the same, they are called the like fractions. In case the denominators are the same, then the numerators can be added while the denominator remains the same.&nbsp;<\/p>\n\n\n\n<p>Suppose we have to add $2\\frac{1}{4}$ to $\\frac{11}{4}$.&nbsp;<\/p>\n\n\n\n<p>$2\\frac{1}{4} = \\frac{(2 \\times 4) + 1}{4} = \\frac{9}{4}$<\/p>\n\n\n\n<p>$\\frac{9}{4} + \\frac{11}{4} = \\frac{20}{4} = 5$<\/p>\n\n\n\n<p><strong>Different Denominators<\/strong><\/p>\n\n\n\n<p>If the denominators of two fractions are different, they are called unlike fractions. Here, we first change them to a common denominator using the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/least-common-multiple\">LCM<\/a> method.<\/p>\n\n\n\n<p>Suppose we have to add $2\\frac{1}{2}$ to $\\frac{7}{3}$.<\/p>\n\n\n\n<p>$2\\frac{1}{2} = \\frac{5}{2}$<\/p>\n\n\n\n<p>LCM $(2, 3) = 6$<\/p>\n\n\n\n<p>$\\frac{5 \\times 3}{2 \\times 3} = \\frac{15}{6}$<\/p>\n\n\n\n<p>$\\frac{7 \\times 2}{3 \\times 2} = \\frac{14}{6}$<\/p>\n\n\n\n<p>$2\\frac{1}{2} + \\frac{7}{3} = \\frac{15}{6} + \\frac{14}{6}$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{15 + 14}{6}$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{29}{6}$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;$= 4\\frac{5}{6}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-facts-on-improper-fraction-to-mixed-number-conversion\">Facts on Improper Fraction to Mixed Number Conversion<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The value of an improper fraction is always greater than or equal to 1.<\/li>\n\n\n\n<li>To convert an improper fraction to a mixed number, we divide the numerator by the denominator. The whole number part of the mixed number is the quotient of the division.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned how to convert improper fractions into mixed numbers. Let\u2019s solve a few examples and practice problems for revision.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-solved-examples-on-improper-fraction-to-mixed-number-conversion\">Solved Examples on Improper Fraction to Mixed Number Conversion<\/h2>\n\n\n\n<p><strong>1. Convert improper fraction into a mixed number: <\/strong><strong>17<\/strong><strong>5<\/strong><strong>&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Divide 17 by 5.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"101\" height=\"202\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/17-divided-by-5.png\" alt=\"17 divided by 5\" class=\"wp-image-35929\" title=\"17 divided by 5\"\/><\/figure>\n\n\n\n<p>Note down the quotient and remainder.&nbsp;<\/p>\n\n\n\n<p>Quotient $= 3$<\/p>\n\n\n\n<p>Remainder $= 2$<\/p>\n\n\n\n<p>The quotient becomes the whole number part of the mixed number. The remainder acts as the new numerator. The denominator stays the same.&nbsp;<\/p>\n\n\n\n<p>$\\frac{17}{5} = 3\\frac{2}{5}$<\/p>\n\n\n\n<p><strong>2. Convert improper fraction into a mixed number: <\/strong>$\\frac{121}{10}$<\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"149\" height=\"271\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/121-divided-by-10.png\" alt=\"121 divided by 10\" class=\"wp-image-35930\" title=\"121 divided by 10\"\/><\/figure>\n\n\n\n<p>Quotient $= 12$ is to be written the new whole part of the mixed number.<\/p>\n\n\n\n<p>Remainder $= 1$ is the new numerator.&nbsp;<\/p>\n\n\n\n<p>Denominator $= 10$ stays the same.<\/p>\n\n\n\n<p>Thus,<strong> <\/strong>$\\frac{121}{10} = 12\\frac{1}{10}$<\/p>\n\n\n\n<p><strong>3. Convert improper fraction into a mixed number: <\/strong>$\\frac{10}{3}$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"319\" height=\"191\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/10-divided-by-3.png\" alt=\"10 divided by 3\" class=\"wp-image-35931\" title=\"10 divided by 3\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/10-divided-by-3.png 319w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/10-divided-by-3-300x180.png 300w\" sizes=\"auto, (max-width: 319px) 100vw, 319px\" \/><\/figure>\n\n\n\n<p>Quotient $= 3$<\/p>\n\n\n\n<p>Remainder $= 1$<\/p>\n\n\n\n<p>$\\frac{10}{3} = 3\\frac{1}{3}$<\/p>\n\n\n\n<p><strong>4. Add a mixed number and an improper fraction: <\/strong>$2\\frac{3}{5} + \\frac{21}{5}$.<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>To add $2\\frac{3}{5}$ and $\\frac{21}{5}$, we first need to convert improper fraction into a mixed number.<\/p>\n\n\n\n<p>$2\\frac{3}{5} = \\frac{(5 \\times 2) + 3}{5} = \\frac{13}{5}$&nbsp;<\/p>\n\n\n\n<p>$2\\frac{3}{5} + \\frac{22}{5} = \\frac{13}{5} + \\frac{21}{5} = \\frac{13 + 21}{5} = \\frac{34}{5}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"101\" height=\"176\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/34-divided-by-5.png\" alt=\"34 divided by 5\" class=\"wp-image-35932\" title=\"34 divided by 5\"\/><\/figure>\n\n\n\n<p>Quotient $= 6$<\/p>\n\n\n\n<p>Remainder $= 4$<\/p>\n\n\n\n<p>Thus,<strong> <\/strong>$\\frac{34}{5} = 6\\frac{4}{5}$<\/p>\n\n\n\n<p><strong>5. Convert improper fraction into a mixed number: <\/strong>$\\frac{15}{7}$<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"101\" height=\"202\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/15-divided-by-7.png\" alt=\"\" class=\"wp-image-35933\" title=\"15 divided by 7\"\/><\/figure>\n\n\n\n<p>Quotient $= 2$<\/p>\n\n\n\n<p>Remainder $= 1$<\/p>\n\n\n\n<p>$\\frac{15}{7} = 2\\frac{1}{6}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-practice-problems-on-improper-fraction-to-mixed-number-conversion\">Practice Problems on Improper Fraction to Mixed Number Conversion<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Improper Fraction to Mixed Number -\u00a0 Conversion, Example, Facts, FAQs<\/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\">Convert $\\frac{80}{9}$ into a mixed fraction.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$6\\frac{8}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$8\\frac{8}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$8\\frac{7}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$9\\frac{1}{9}$<\/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: $8\\frac{8}{9}$<br\/>$80\\div 9 = 8\\; R \\;8$<br>\r\nQuotient $= 8$<br>\r\nRemainder $= 8$<br>\r\n$\\frac{80}{9} = 8\\frac{8}{9}$<\/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 will you get when you convert $\\frac{138}{11}$ into a mixed fraction?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$11\\frac{5}{11}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$10\\frac{11}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$12\\frac{6}{11}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$11\\frac{6}{11}$<\/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: $12\\frac{6}{11}$<br\/>Dividend $= 138$<br>\r\nDivisor $= 11$<br>\r\nQuotient $= 12$<br>\r\nRemainder $= 6$<br>\r\n$\\frac{138}{11} = 12\\frac{6}{11}$<\/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\">On converting $\\frac{99}{8}$ into a mixed fraction, we get ____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$12\\frac{1}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$11\\frac{3}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$10\\frac{3}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$12\\frac{3}{8}$<\/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: $12\\frac{3}{8}$<br\/>Dividend = 99<br>\r\nDivisor = 8<br>\r\nQuotient = 12<br>\r\nRemainder = 3<br>\r\n$\\frac{99}{8} = 12\\frac{3}{8}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Add $4\\frac{1}{2}$ and \\frac{13}{2}$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">11<\/div><div class=\"spq_answer_block\" data-value=\"1\">$11\\frac{1}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$12\\frac{1}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">12<\/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: 11<br\/>$4\\frac{1}{2} + \\frac{13}{2} = \\frac{9}{2} + \\frac{13}{2} = \\frac{22}{2} = 11$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">An improper fraction and a mixed number is always greater than or equal to ____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0<\/div><div class=\"spq_answer_block\" data-value=\"1\">1<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\;-\\;1$<\/div><div class=\"spq_answer_block\" data-value=\"3\">2<\/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: 1<br\/>The value of any improper fraction or a mixed number is always greater than or equal to 1.<\/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\": 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                      \"@type\": \"Comment\",\n                                    \"text\": \"$$80\\\\div 9 = 8\\\\; R \\\\;8$$<br>\r\nQuotient $$= 8$$<br>\r\nRemainder $$= 8$$<br>\r\n$$\\\\frac{80}{9} = 8\\\\frac{8}{9}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$9\\\\frac{1}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$80\\\\div 9 = 8\\\\; R \\\\;8$$<br>\r\nQuotient $$= 8$$<br>\r\nRemainder $$= 8$$<br>\r\n$$\\\\frac{80}{9} = 8\\\\frac{8}{9}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$8\\\\frac{8}{9}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$80\\\\div 9 = 8\\\\; R \\\\;8$$<br>\r\nQuotient $$= 8$$<br>\r\nRemainder $$= 8$$<br>\r\n$$\\\\frac{80}{9} = 8\\\\frac{8}{9}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$80\\\\div 9 = 8\\\\; R \\\\;8$$<br>\r\nQuotient $$= 8$$<br>\r\nRemainder $$= 8$$<br>\r\n$$\\\\frac{80}{9} = 8\\\\frac{8}{9}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What will you get when you convert $$\\\\frac{138}{11}$$ into a mixed fraction?\",\n                    \"text\": \"What will you get when you convert $$\\\\frac{138}{11}$$ into a mixed fraction?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Dividend $$= 138$$<br>\r\nDivisor $$= 11$$<br>\r\nQuotient $$= 12$$<br>\r\nRemainder $$= 6$$<br>\r\n$$\\\\frac{138}{11} = 12\\\\frac{6}{11}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$11\\\\frac{5}{11}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dividend $$= 138$$<br>\r\nDivisor $$= 11$$<br>\r\nQuotient $$= 12$$<br>\r\nRemainder $$= 6$$<br>\r\n$$\\\\frac{138}{11} = 12\\\\frac{6}{11}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$10\\\\frac{11}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dividend $$= 138$$<br>\r\nDivisor $$= 11$$<br>\r\nQuotient $$= 12$$<br>\r\nRemainder $$= 6$$<br>\r\n$$\\\\frac{138}{11} = 12\\\\frac{6}{11}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$11\\\\frac{6}{11}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dividend $$= 138$$<br>\r\nDivisor $$= 11$$<br>\r\nQuotient $$= 12$$<br>\r\nRemainder $$= 6$$<br>\r\n$$\\\\frac{138}{11} = 12\\\\frac{6}{11}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$12\\\\frac{6}{11}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Dividend $$= 138$$<br>\r\nDivisor $$= 11$$<br>\r\nQuotient $$= 12$$<br>\r\nRemainder $$= 6$$<br>\r\n$$\\\\frac{138}{11} = 12\\\\frac{6}{11}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Dividend $$= 138$$<br>\r\nDivisor $$= 11$$<br>\r\nQuotient $$= 12$$<br>\r\nRemainder $$= 6$$<br>\r\n$$\\\\frac{138}{11} = 12\\\\frac{6}{11}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"On converting $$\\\\frac{99}{8}$$ into a mixed fraction, we get ____.\",\n                    \"text\": \"On converting $$\\\\frac{99}{8}$$ into a mixed fraction, we get ____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Dividend = 99<br>\r\nDivisor = 8<br>\r\nQuotient = 12<br>\r\nRemainder = 3<br>\r\n$$\\\\frac{99}{8} = 12\\\\frac{3}{8}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$12\\\\frac{1}{8}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dividend = 99<br>\r\nDivisor = 8<br>\r\nQuotient = 12<br>\r\nRemainder = 3<br>\r\n$$\\\\frac{99}{8} = 12\\\\frac{3}{8}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$11\\\\frac{3}{8}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dividend = 99<br>\r\nDivisor = 8<br>\r\nQuotient = 12<br>\r\nRemainder = 3<br>\r\n$$\\\\frac{99}{8} = 12\\\\frac{3}{8}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$10\\\\frac{3}{8}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dividend = 99<br>\r\nDivisor = 8<br>\r\nQuotient = 12<br>\r\nRemainder = 3<br>\r\n$$\\\\frac{99}{8} = 12\\\\frac{3}{8}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$12\\\\frac{3}{8}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Dividend = 99<br>\r\nDivisor = 8<br>\r\nQuotient = 12<br>\r\nRemainder = 3<br>\r\n$$\\\\frac{99}{8} = 12\\\\frac{3}{8}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Dividend = 99<br>\r\nDivisor = 8<br>\r\nQuotient = 12<br>\r\nRemainder = 3<br>\r\n$$\\\\frac{99}{8} = 12\\\\frac{3}{8}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Add $$4\\\\frac{1}{2}$$ and \\\\frac{13}{2}$$.\",\n                    \"text\": \"Add $$4\\\\frac{1}{2}$$ and \\\\frac{13}{2}$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$4\\\\frac{1}{2} + \\\\frac{13}{2} = \\\\frac{9}{2} + \\\\frac{13}{2} = \\\\frac{22}{2} = 11$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$11\\\\frac{1}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{1}{2} + \\\\frac{13}{2} = \\\\frac{9}{2} + \\\\frac{13}{2} = \\\\frac{22}{2} = 11$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$12\\\\frac{1}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{1}{2} + \\\\frac{13}{2} = \\\\frac{9}{2} + \\\\frac{13}{2} = \\\\frac{22}{2} = 11$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{1}{2} + \\\\frac{13}{2} = \\\\frac{9}{2} + \\\\frac{13}{2} = \\\\frac{22}{2} = 11$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"11\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$4\\\\frac{1}{2} + \\\\frac{13}{2} = \\\\frac{9}{2} + \\\\frac{13}{2} = \\\\frac{22}{2} = 11$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$4\\\\frac{1}{2} + \\\\frac{13}{2} = \\\\frac{9}{2} + \\\\frac{13}{2} = \\\\frac{22}{2} = 11$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"An improper fraction and a mixed number is always greater than or equal to ____.\",\n                    \"text\": \"An improper fraction and a mixed number is always greater than or equal to ____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The value of any improper fraction or a mixed number is always greater than or equal to 1.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The value of any improper fraction or a mixed number is always greater than or equal to 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\;-\\\\;1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The value of any improper fraction or a mixed number is always greater than or equal to 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The value of any improper fraction or a mixed number is always greater than or equal to 1.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The value of any improper fraction or a mixed number is always greater than or equal to 1.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The value of any improper fraction or a mixed number is always greater than or equal to 1.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-frequently-asked-questions-on-improper-fraction-to-mixed-number-conversion\">Frequently Asked Questions on Improper Fraction to Mixed Number Conversion<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-8757b0c6-d9c8-40f7-8961-46dba68c72db\" 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-0-8757b0c6-d9c8-40f7-8961-46dba68c72db\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8757b0c6-d9c8-40f7-8961-46dba68c72db\"><strong>How to convert a mixed fraction 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-0-8757b0c6-d9c8-40f7-8961-46dba68c72db\">\n\n<p>For converting a mixed fraction to an improper fraction, we multiply the denominator by the whole number and add the product to the numerator. This value represents the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\">numerator<\/a>. The denominator stays the same.If $a\\frac{b}{c}$ is the mixed fraction, then improper fraction $= \\frac{(a \\times c) + b}{c}$<\/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-1-8757b0c6-d9c8-40f7-8961-46dba68c72db\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8757b0c6-d9c8-40f7-8961-46dba68c72db\"><strong>What is the difference between a proper and 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-1-8757b0c6-d9c8-40f7-8961-46dba68c72db\">\n\n<p>A proper fraction is a fraction where the numerator is less than the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\">denominator<\/a>, such as $\\frac{1}{5},\\;\\frac{4}{9},\\;\\frac{16}{21}$ etc.&nbsp;An improper fraction is a fraction where the numerator is greater than the denominator, such as $\\frac{3}{2},\\; \\frac{7}{4},\\; \\frac{131}{12}$ etc.<\/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-2-8757b0c6-d9c8-40f7-8961-46dba68c72db\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8757b0c6-d9c8-40f7-8961-46dba68c72db\"><strong>Can we also convert a proper fraction into a mixed 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-2-8757b0c6-d9c8-40f7-8961-46dba68c72db\">\n\n<p>No, we can only convert an improper fraction to a mixed 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-3-8757b0c6-d9c8-40f7-8961-46dba68c72db\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8757b0c6-d9c8-40f7-8961-46dba68c72db\"><strong>Can the numerator of the fractional part of a mixed fraction be 0?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-8757b0c6-d9c8-40f7-8961-46dba68c72db\">\n\n<p>No, the numerator of the fractional part of a mixed number is always greater than 0. It shows that the remainder is 0, which in turn means we get the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\">whole number<\/a> as the answer.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-8757b0c6-d9c8-40f7-8961-46dba68c72db\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8757b0c6-d9c8-40f7-8961-46dba68c72db\"><strong>What is the difference between a proper and a mixed 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-4-8757b0c6-d9c8-40f7-8961-46dba68c72db\">\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/proper-fraction\">proper fraction<\/a> is a fraction where the numerator is less than the denominator, such as $\\frac{1}{5}$, $\\frac{4}{9}$, $\\frac{16}{21}$, etc. A mixed fraction is a fraction which consists of a whole number and a proper fraction, such as $1\\frac{1}{2}$, $2\\frac{1}{4}$, $3\\frac{11}{12}$, etc.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Improper Fraction to Mixed Number Conversion? Improper fraction to mixed number conversion helps us express any given improper fraction in the form of a mixed number (or mixed fraction).&nbsp; Note that an improper fraction and mixed number basically mean the same thing, but the way of representation is different. Let\u2019s see how.&nbsp; An &#8230; <a title=\"Improper Fraction to Mixed Number &#8211;\u00a0 Conversion, Example, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/improper-fraction-to-mixed-number\" aria-label=\"More on Improper Fraction to Mixed Number &#8211;\u00a0 Conversion, Example, Facts, 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-30859","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\/30859","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=30859"}],"version-history":[{"count":17,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30859\/revisions"}],"predecessor-version":[{"id":35934,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30859\/revisions\/35934"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=30859"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=30859"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=30859"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}