{"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 wp-block-paragraph\">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 wp-block-paragraph\">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 wp-block-paragraph\">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 wp-block-paragraph\">Mixed fraction is composed of a whole number and a proper fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">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 wp-block-paragraph\">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 wp-block-paragraph\">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 wp-block-paragraph\">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 wp-block-paragraph\"><strong>Example:<\/strong> Convert the mixed number $3\\frac{4}{5}$ to improper fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><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 wp-block-paragraph\">Here, the whole number $= 3$, Numerator $= 4$, Denominator $= 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> Multiply the denominator with the whole number.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, multiply 5 and 3.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$5 \\times 3 = 15$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3:<\/strong> Add the numerator to this product.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Add 15 and 4 (numerator): $15 + 4 = 19$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><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 wp-block-paragraph\">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 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});\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 wp-block-paragraph\">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 wp-block-paragraph\"><strong>Example:<\/strong> Convert the improper fraction $\\frac{15}{7}$ to a mixed number.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><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 wp-block-paragraph\">Here, we divide 15 by 7.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We know that $(7 \\times 2) + 1 =15$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Quotient $= 2$ and Remainder$ = 1$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><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 wp-block-paragraph\">&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 wp-block-paragraph\"><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 wp-block-paragraph\">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 wp-block-paragraph\">We can add mixed fractions easily by simply converting them into improper fractions.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example: <\/strong>Find the sum: $4\\frac{1}{3} + 5\\frac{4}{3}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Convert both the mixed numbers to improper fractions.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$4\\frac{1}{3} = \\frac{(4 \\times 3) + 1}{3} = \\frac{13}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$5\\frac{4}{3} = \\frac{(5 \\times 3) + 4}{3} = \\frac{19}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Add the improper fractions by adding the numerators and keeping the same denominator.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{13}{3} + \\frac{19}{3} = \\frac{32}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, we can convert the improper fraction $\\frac{32}{3}$ to a mixed number.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{32}{3} = 10\\frac{2}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, $4\\frac{1}{3} + 5\\frac{4}{3} = 10\\frac{2}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">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 wp-block-paragraph\"><strong>Example:&nbsp; <\/strong>$1\\frac{1}{2} + 2\\frac{1}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$1\\frac{1}{2} = \\frac{(2 \\times 1) + 1}{2} = \\frac{3}{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$2\\frac{1}{3} = \\frac{(3 \\times 2) + 1}{3} = \\frac{7}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, LCM $(2,3)\\; = 6$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$1\\frac{1}{2} + 2\\frac{1}{3} = \\frac{3}{2} + \\frac{7}{3}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&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 wp-block-paragraph\">&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 wp-block-paragraph\">&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 wp-block-paragraph\">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 wp-block-paragraph\">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 wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Multiply the denominator and the whole number.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$3 \\times 16 = 48$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Add the remainder to it.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$48 + 2 = 50$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Numerator $= 50$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Denominator $= 3$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">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 wp-block-paragraph\"><strong>Solution: <\/strong>Given improper fraction $= \\frac{17}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">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 wp-block-paragraph\">Quotient $= 3$ and Remainder $= 2$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, $\\frac{17}{5} = 3\\frac{2}{5}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><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 wp-block-paragraph\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$1\\frac{3}{7} = \\frac{(1 \\times 7) + 3}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{7 + 3}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{10}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">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 wp-block-paragraph\"><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\":  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        \"@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   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\"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"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 wp-block-paragraph\">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 wp-block-paragraph\">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 wp-block-paragraph\">We can convert mixed fractions into improper fractions to add them.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">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}]}}