{"id":1337,"date":"2022-04-18T12:49:19","date_gmt":"2022-04-18T12:49:19","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1337"},"modified":"2023-08-13T09:54:23","modified_gmt":"2023-08-13T09:54:23","slug":"dividing-fractions-with-whole-numbers-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/dividing-fractions-with-whole-numbers","title":{"rendered":"Dividing a Fraction by a Whole Number &#8211; Examples, FAQs"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><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-613343af-ca6a-43ba-90f2-daa6ae065f1e\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/dividing-fractions-with-whole-numbers#0-dividing-fractions-with-whole-numbers-introduction>Dividing Fractions with Whole Numbers: Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/dividing-fractions-with-whole-numbers#1-reciprocal-of-fractions>Reciprocal of Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/dividing-fractions-with-whole-numbers#2-how-to-divide-a-fraction-by-a-whole-number>How to Divide a Fraction by a Whole Number?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/dividing-fractions-with-whole-numbers#7-solved-examples-on-dividing-fractions-with-whole-numbers>Solved Examples on Dividing Fractions with Whole Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/dividing-fractions-with-whole-numbers#8-practice-problems-on-dividing-fractions-with-whole-numbers>Practice Problems on Dividing Fractions with Whole Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/dividing-fractions-with-whole-numbers#9-frequently-asked-questions-on-dividing-fractions-with-whole-numbers>Frequently Asked Questions on Dividing Fractions with Whole Numbers<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-dividing-fractions-with-whole-numbers-introduction\">Dividing Fractions with Whole Numbers: Introduction<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Suppose you have to divide a half pizza among 6 friends. To find the share of each friend requires you to divide a fraction $\\frac{1}{2}$ by a whole number, 6. The following image shows two half parts of a whole pizza. Each half is further divided into 6 equal parts. So, if you pick any small slice, it represents $\\frac{1}{12}$ fraction of whole.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"494\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-1.png\" alt=\"Dividing a half pizza into six parts\" class=\"wp-image-13090\" title=\"Dividing a half pizza into six parts\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-1-300x239.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Dividing a fraction by a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\" title=\"\">whole number<\/a> requires an understanding of some basic concepts like <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\" title=\"\">fractions<\/a>, mixed fractions, reciprocals of fractions, and whole numbers.\u00a0<\/strong><\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Whole numbers include natural numbers and 0.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">Whole numbers: 0, 1, 2, 3, 4 . . .&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">A fraction is a part of a whole.&nbsp;For instance, one whole circle divided into two equal parts gives us two halves. If a circle is divided into 4 equal parts, each part equals $\\frac{1}{4}$ or a quarter.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"338\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-2.png\" alt=\"Fractions represented using a circle\" class=\"wp-image-13091\" title=\"Fractions represented using a circle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-2-300x164.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In the fraction $\\frac{1}{2}$, 1 is the numerator, and 2 is the denominator.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"349\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-3.png\" alt=\"Parts of a fraction\" class=\"wp-image-13093\" title=\"Parts of a fraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-3-300x169.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\/add-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_make_10_pt.png\" alt=\"Add 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-and-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_2d_1d_match_pt.png\" alt=\"Add 2-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-numbers-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_2d_vertical_pt.png\" alt=\"Add 2-Digit Numbers By Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit Numbers By Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_pt.png\" alt=\"Add 3 Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-in-any-order\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers in Any Order Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-groups-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_using_model_pt.png\" alt=\"Add 3 Numbers Using Groups of Objects Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Using Groups of Objects Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_using_models_pt.png\" alt=\"Add 3 Numbers using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-digit-and-1-digit-numbers-and-match\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_3d_1d_match_g3_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers and Match Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3-Digit and 1-Digit Numbers and Match Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-digit-and-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_3d_1d_vertical_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-digit-and-1-digit-numbers-with-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_3d_1d_vertical_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers with Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3-Digit and 1-Digit Numbers with Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-reciprocal-of-fractions\">Reciprocal of Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The reciprocal of a fraction is obtained by interchanging the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\" title=\"\">numerator<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\" title=\"\">denominator<\/a> with each other.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: The reciprocal of the fraction $\\frac{5}{7}$ will be $\\frac{7}{5}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We can also find the reciprocal of a whole number.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: The reciprocal of the whole number 2 will be $\\frac{1}{2}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For more examples of reciprocals, look at the image below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"698\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-4.png\" alt=\"Reciprocal of a fraction\" class=\"wp-image-13094\" title=\"Reciprocal of a fraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-4-266x300.png 266w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">A fraction\u2019s product with its reciprocal is always equal to one.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, $\\frac{3}{2} \\times \\frac{2}{3} = 1$.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers.jpeg\" alt=\"Add & Subtract Ones & 2-Digit Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Find the Sum\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-match-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-match-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Match the Sum\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" 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<strong>dividing a fraction by a whole number<\/strong> with an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Suppose an apple is to be divided between two friends equally. It will be cut into two pieces, and each friend will get half an apple.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now suppose two more friends join. In this case, each half will be cut into two equal parts, which is equivalent to dividing the fraction $\\frac{1}{2}$ by 2. So, each friend will now get one-fourth or $\\frac{1}{4}$ of the whole apple.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{1}{2} \\div 2 = \\frac{1}{2} \\times \\frac{1}{2} = \\frac{1}{4}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, dividing the fraction by 2 is equivalent to multiplying the fraction by the reciprocal of 2, which is $\\frac{1}{2}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"679\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-6.png\" alt=\"An example of dividing fractions with whole numbers\" class=\"wp-image-13095\" title=\"An example of dividing fractions with whole numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-6-274x300.png 274w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Three steps are usually used in <strong>dividing a fraction by a whole number<\/strong>.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Step 1: Write the<\/strong>&nbsp;problem in an equation format.<\/li>\n\n\n\n<li class=\"eplus-wrapper\"><strong>Step 2:<\/strong> Change the division sign with multiplication and replace the divisor by its reciprocal.<\/li>\n\n\n\n<li class=\"eplus-wrapper\"><strong>Step 3:<\/strong> Multiply the numerator with the numerator and the denominator with the denominator to reach the required answer.&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-7.png\" alt=\"Dividing fractions with whole numbers: visual model\" class=\"wp-image-13096\" title=\"Dividing fractions with whole numbers: visual model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-7-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Let&#8217;s discuss two more examples.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: Divide a\/b by u.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 1: $\\frac{a}{b} \\div u$ &nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 2: $\\frac{a}{b} \\times \\frac{1}{u}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 3: $\\frac{a \\times 1}{b \\times u}= \\frac{a}{bu}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2: Divide <\/strong>$\\frac{3}{5}$<strong> by 6.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 1: $\\frac{3}{5} \\div 6$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 2: $\\frac{3}{5} \\times \\frac{1}{6}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 3: $\\frac{3 \\times 1}{5 \\times 6} = \\frac{3}{30} = \\frac{1}{10}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-how-to-divide-a-mixed-fraction-by-a-whole-number\">How to Divide a Mixed Fraction by a Whole Number?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Before we learn how to divide a mixed fraction by a whole number, let\u2019s do a quick revision of some important concepts.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Mixed Fractions&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">A mixed fraction is a fraction consisting of a whole number and a fraction.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"461\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-5.png\" alt=\"A mixed fraction\" class=\"wp-image-13097\" title=\"A mixed fraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/What-is-Dividing-Fractions-with-Whole-Numbers-5-300x223.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">For example, 7 is a whole number, and $1\/3$ is a fraction, making $7\\frac{1}{3}$ a mixed fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">It can also be written as $\\frac{22}{3}$ (improper fraction).<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Mixed Fractions and Improper Fractions&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">A fraction where the numerator is greater than the denominator is called an improper fraction. Mixed fractions and improper fractions basically represent the same thing. We just write them in different formats.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: To convert the mixed fraction 347 into an improper fraction:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$3\\frac{4}{7} =\\frac{(7 \\times 3) + 4}{7}= \\frac{25}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, let&#8217;s understand the division of a mixed fraction by a whole number with the help of an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Divide&nbsp; <\/strong>$4\\frac{5}{3}$<strong> by 7.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">First, we write the mixed fraction <strong>&nbsp;<\/strong>$4\\frac{5}{3}$&nbsp;as an improper fraction, i.e., $\\frac{17}{13}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, we follow the same three steps as discussed above.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Write the problem as $4\\frac{5}{3} \\div \\frac{7}{1}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{17}{13} \\times \\frac{1}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{17 \\times 1}{13 \\times 7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{17}{91}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-how-to-divide-whole-numbers-by-a-fraction\">How to Divide Whole Numbers by a Fraction?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Since you have become familiar with <strong>dividing a fraction by a whole number<\/strong>, let\u2019s now understand its reverse case.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Division of a whole number by a fraction requires the following steps:<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Write the whole number as an improper fraction.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Follow the three steps of dividing a fraction by the whole number.<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example: Divide 12 by <\/strong>$\\frac{4}{5}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">First, we convert 12 into an improper fraction, i.e., $\\frac{12}{1}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Then, we write the problem $\\frac{12}{1} \\div \\frac{4}{5}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{12}{1} \\times \\frac{5}{4}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{12 \\times 5}{1 \\times 4}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{60}{4}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$ = 15$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-fun-fact\">Fun Fact!<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Division of a whole number by a fraction results in either a whole number or an improper fraction.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Dividing a fraction by a whole number<\/strong> involves using concepts related to fractions and whole numbers. So, having a basic understanding of these is crucial as it helps you comprehend and follow the three steps involved in the division of fractions.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The division of a whole number by a fraction follows the same three steps with a slight variation of converting the whole number into an improper fraction.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">All in all, knowing the division of fractions is essential as it lays the foundation for understanding complex fractional problems in higher classes.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-solved-examples-on-dividing-fractions-with-whole-numbers\">Solved Examples on Dividing Fractions with Whole Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Change the mixed fraction <\/strong>$7\\frac{2}{3}$<strong> into an improper fraction.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong> First, we take the product of the whole number 7 with the denominator 3 and add the numerator 2 to it.&nbsp;The denominator 3 stays the same.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$7\\frac{2}{3} = \\frac{(7 \\times 3) + 2}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{23}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Then, we will get the numerator as 23. The denominator will stay the same.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, $\\frac{23}{3}$ will be the resulting improper fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Divide <\/strong>$\\frac{5}{8}$<strong> by 12.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;For <strong>dividing the fraction <\/strong>(58)<strong> with the whole number <\/strong>(12), we write:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{5}{8} \\div 12$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{5}{8} \\times \\frac{1}{12}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{5}{96}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3.<\/strong> <strong>Divide <\/strong>$5\\frac{4}{9}$<strong> by 7.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;First, we convert the mixed fraction into an improper fraction, i.e., $5\\frac{4}{9} = \\frac{49}{9}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Then, we write the problem as $49\/9 \\div 7$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{49}{9} \\times \\frac{1}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{49 \\times 1}{9 \\times 7})$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{49}{63}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{7}{9}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4.<\/strong> <strong>Divide 24 by <\/strong>$\\frac{3}{2}$<strong>.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;First, we change the number into an improper fraction, i.e., $\\frac{24}{1}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Then, we write the problem as $\\frac{24}{1} \\div \\frac{3}{2}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{24}{1} \\times \\frac{2}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{24 \\times 2}{1 \\times 3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{48}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 16$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>5.<\/strong>&nbsp;<strong>Ben has to divide <\/strong>$\\frac{5}{4}$<strong> by 25 as a part of his assignment. Help him out by dividing the fraction by a whole number.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong> For <strong>dividing the fraction<\/strong>&nbsp;$\\frac{5}{4}$&nbsp;<strong>by the whole number<\/strong>&nbsp;25, we need to write the problem as:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{5}{4} \\div 25$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{5}{4} \\times \\frac{1}{25}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{5 \\times 1} {4 \\times 25}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{5}{100}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-practice-problems-on-dividing-fractions-with-whole-numbers\">Practice Problems on Dividing Fractions with Whole Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Dividing a Fraction by a Whole Number<\/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\">Divide $\\frac{5}{9}$ by 10.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{15}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{50}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{1}{18}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{9}{50}$<\/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: $\\frac{1}{18}$<br\/>First, we write down the problem in equation form and then multiply the given fraction by the reciprocal of the whole number to reach the answer.<br>\r\n$\\frac{5}{9} \\div 10$<br>\r\n$= \\frac{5}{9} \\times \\frac{1}{10}$<br>\r\n$= \\frac{5}{90}$<br>\r\n$= \\frac{1}{18}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Convert $3\\frac{5}{9}$ into an improper fraction.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{15}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{32}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{8}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{9}{15}$<\/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: $\\frac{32}{9}$<br\/>$3\\frac{5}{9}= \\frac{(9 \\times 3)+5}{9}= \\frac{32}{9}$<br>\r\nImproper fraction $= \\frac{32}{9}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Divide $2\\frac{5}{8}$ by 15.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{7}{40}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{50}{23}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{25}{18}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{22}{120}$<\/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: $\\frac{7}{40}$<br\/>Convert the mixed fraction into an improper fraction.<br>\r\n$2\\frac{5}{8}=\\frac{(8 \\times 2) + 5}{8}= \\frac{21}{8}$<br>\r\nImproper fraction $= \\frac{21}{8}$<br>\r\nNow,$\\frac{21}{8} \\div 15$<br>\r\n$= \\frac{21}{8} \\times \\frac{1}{15}$<br>\r\n$= \\frac{21}{120}$<br>\r\n$= \\frac{7}{40}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The reciprocal of the mixed fraction $2\\frac{3}{5}$ is: <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{13}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$3\\frac{2}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{5}{13}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{5}{17}$<\/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: $\\frac{5}{13}$<br\/>Convert the mixed fraction into an improper fraction.<br>\r\n$2\\frac{3}{5}=\\frac{(5 \\times 2) + 3}{5}= \\frac{13}{5}$<br>\r\nImproper fraction $= \\frac{13}{5}$<br>\r\nReciprocal $= \\frac{5}{13}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Divide 35 by $\\frac{5}{7}$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$49$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$25$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{25}{49}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{49}{25}$<\/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: $49$<br\/>Now, $\\frac{35}{1} \\div \\frac{5}{7}$<br>\r\n$= \\frac{35}{1} \\times \\frac{7}{5}$<br>\r\n$= \\frac{35 \\times 7}{1 \\times 5}$<br>\r\n$= \\frac{175}{5}$<br>\r\n$= 35$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Dividing a Fraction by a Whole Number\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Dividing a Fraction by a Whole Number\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Divide $$\\\\frac{5}{9}$$ by 10.\",\n                    \"text\": \"Divide $$\\\\frac{5}{9}$$ by 10.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"First, we write down the problem in equation form and then multiply the given fraction by the reciprocal of the whole number to reach the answer.<br>\r\n$$\\\\frac{5}{9} \\\\div 10$$<br>\r\n$$= \\\\frac{5}{9} \\\\times \\\\frac{1}{10}$$<br>\r\n$$= \\\\frac{5}{90}$$<br>\r\n$$= \\\\frac{1}{18}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{15}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"First, we write down the problem in equation form and then multiply the given fraction by the reciprocal of the whole number to reach the answer.<br>\r\n$$\\\\frac{5}{9} \\\\div 10$$<br>\r\n$$= \\\\frac{5}{9} \\\\times \\\\frac{1}{10}$$<br>\r\n$$= \\\\frac{5}{90}$$<br>\r\n$$= \\\\frac{1}{18}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{50}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"First, we write down the problem in equation form and then multiply the given fraction by the reciprocal of the whole number to reach the answer.<br>\r\n$$\\\\frac{5}{9} \\\\div 10$$<br>\r\n$$= \\\\frac{5}{9} \\\\times \\\\frac{1}{10}$$<br>\r\n$$= \\\\frac{5}{90}$$<br>\r\n$$= \\\\frac{1}{18}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{9}{50}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"First, we write down the problem in equation form and then multiply the given fraction by the reciprocal of the whole number to reach the answer.<br>\r\n$$\\\\frac{5}{9} \\\\div 10$$<br>\r\n$$= \\\\frac{5}{9} \\\\times \\\\frac{1}{10}$$<br>\r\n$$= \\\\frac{5}{90}$$<br>\r\n$$= \\\\frac{1}{18}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{18}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"First, we write down the problem in equation form and then multiply the given fraction by the reciprocal of the whole number to reach the answer.<br>\r\n$$\\\\frac{5}{9} \\\\div 10$$<br>\r\n$$= \\\\frac{5}{9} \\\\times \\\\frac{1}{10}$$<br>\r\n$$= \\\\frac{5}{90}$$<br>\r\n$$= \\\\frac{1}{18}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"First, we write down the problem in equation form and then multiply the given fraction by the reciprocal of the whole number to reach the answer.<br>\r\n$$\\\\frac{5}{9} \\\\div 10$$<br>\r\n$$= \\\\frac{5}{9} \\\\times \\\\frac{1}{10}$$<br>\r\n$$= \\\\frac{5}{90}$$<br>\r\n$$= \\\\frac{1}{18}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert $$3\\\\frac{5}{9}$$ into an improper fraction.\",\n                    \"text\": \"Convert $$3\\\\frac{5}{9}$$ into an improper fraction.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$3\\\\frac{5}{9}= \\\\frac{(9 \\\\times 3)+5}{9}= \\\\frac{32}{9}$$<br>\r\nImproper fraction $$= \\\\frac{32}{9}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{15}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3\\\\frac{5}{9}= \\\\frac{(9 \\\\times 3)+5}{9}= \\\\frac{32}{9}$$<br>\r\nImproper fraction $$= \\\\frac{32}{9}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{8}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3\\\\frac{5}{9}= \\\\frac{(9 \\\\times 3)+5}{9}= \\\\frac{32}{9}$$<br>\r\nImproper fraction $$= \\\\frac{32}{9}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{9}{15}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3\\\\frac{5}{9}= \\\\frac{(9 \\\\times 3)+5}{9}= \\\\frac{32}{9}$$<br>\r\nImproper fraction $$= \\\\frac{32}{9}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{32}{9}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$3\\\\frac{5}{9}= \\\\frac{(9 \\\\times 3)+5}{9}= \\\\frac{32}{9}$$<br>\r\nImproper fraction $$= \\\\frac{32}{9}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$3\\\\frac{5}{9}= \\\\frac{(9 \\\\times 3)+5}{9}= \\\\frac{32}{9}$$<br>\r\nImproper fraction $$= \\\\frac{32}{9}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Divide $$2\\\\frac{5}{8}$$ by 15.\",\n                    \"text\": \"Divide $$2\\\\frac{5}{8}$$ by 15.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{5}{8}=\\\\frac{(8 \\\\times 2) + 5}{8}= \\\\frac{21}{8}$$<br>\r\nImproper fraction $$= \\\\frac{21}{8}$$<br>\r\nNow,$$\\\\frac{21}{8} \\\\div 15$$<br>\r\n$$= \\\\frac{21}{8} \\\\times \\\\frac{1}{15}$$<br>\r\n$$= \\\\frac{21}{120}$$<br>\r\n$$= \\\\frac{7}{40}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{50}{23}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{5}{8}=\\\\frac{(8 \\\\times 2) + 5}{8}= \\\\frac{21}{8}$$<br>\r\nImproper fraction $$= \\\\frac{21}{8}$$<br>\r\nNow,$$\\\\frac{21}{8} \\\\div 15$$<br>\r\n$$= \\\\frac{21}{8} \\\\times \\\\frac{1}{15}$$<br>\r\n$$= \\\\frac{21}{120}$$<br>\r\n$$= \\\\frac{7}{40}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{25}{18}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{5}{8}=\\\\frac{(8 \\\\times 2) + 5}{8}= \\\\frac{21}{8}$$<br>\r\nImproper fraction $$= \\\\frac{21}{8}$$<br>\r\nNow,$$\\\\frac{21}{8} \\\\div 15$$<br>\r\n$$= \\\\frac{21}{8} \\\\times \\\\frac{1}{15}$$<br>\r\n$$= \\\\frac{21}{120}$$<br>\r\n$$= \\\\frac{7}{40}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{22}{120}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{5}{8}=\\\\frac{(8 \\\\times 2) + 5}{8}= \\\\frac{21}{8}$$<br>\r\nImproper fraction $$= \\\\frac{21}{8}$$<br>\r\nNow,$$\\\\frac{21}{8} \\\\div 15$$<br>\r\n$$= \\\\frac{21}{8} \\\\times \\\\frac{1}{15}$$<br>\r\n$$= \\\\frac{21}{120}$$<br>\r\n$$= \\\\frac{7}{40}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{7}{40}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{5}{8}=\\\\frac{(8 \\\\times 2) + 5}{8}= \\\\frac{21}{8}$$<br>\r\nImproper fraction $$= \\\\frac{21}{8}$$<br>\r\nNow,$$\\\\frac{21}{8} \\\\div 15$$<br>\r\n$$= \\\\frac{21}{8} \\\\times \\\\frac{1}{15}$$<br>\r\n$$= \\\\frac{21}{120}$$<br>\r\n$$= \\\\frac{7}{40}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{5}{8}=\\\\frac{(8 \\\\times 2) + 5}{8}= \\\\frac{21}{8}$$<br>\r\nImproper fraction $$= \\\\frac{21}{8}$$<br>\r\nNow,$$\\\\frac{21}{8} \\\\div 15$$<br>\r\n$$= \\\\frac{21}{8} \\\\times \\\\frac{1}{15}$$<br>\r\n$$= \\\\frac{21}{120}$$<br>\r\n$$= \\\\frac{7}{40}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The reciprocal of the mixed fraction $$2\\\\frac{3}{5}$$ is: \",\n                    \"text\": \"The reciprocal of the mixed fraction $$2\\\\frac{3}{5}$$ is: \",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{3}{5}=\\\\frac{(5 \\\\times 2) + 3}{5}= \\\\frac{13}{5}$$<br>\r\nImproper fraction $$= \\\\frac{13}{5}$$<br>\r\nReciprocal $$= \\\\frac{5}{13}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{13}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{3}{5}=\\\\frac{(5 \\\\times 2) + 3}{5}= \\\\frac{13}{5}$$<br>\r\nImproper fraction $$= \\\\frac{13}{5}$$<br>\r\nReciprocal $$= \\\\frac{5}{13}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3\\\\frac{2}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{3}{5}=\\\\frac{(5 \\\\times 2) + 3}{5}= \\\\frac{13}{5}$$<br>\r\nImproper fraction $$= \\\\frac{13}{5}$$<br>\r\nReciprocal $$= \\\\frac{5}{13}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{5}{17}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{3}{5}=\\\\frac{(5 \\\\times 2) + 3}{5}= \\\\frac{13}{5}$$<br>\r\nImproper fraction $$= \\\\frac{13}{5}$$<br>\r\nReciprocal $$= \\\\frac{5}{13}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{5}{13}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{3}{5}=\\\\frac{(5 \\\\times 2) + 3}{5}= \\\\frac{13}{5}$$<br>\r\nImproper fraction $$= \\\\frac{13}{5}$$<br>\r\nReciprocal $$= \\\\frac{5}{13}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Convert the mixed fraction into an improper fraction.<br>\r\n$$2\\\\frac{3}{5}=\\\\frac{(5 \\\\times 2) + 3}{5}= \\\\frac{13}{5}$$<br>\r\nImproper fraction $$= \\\\frac{13}{5}$$<br>\r\nReciprocal $$= \\\\frac{5}{13}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Divide 35 by $$\\\\frac{5}{7}$$.\",\n                    \"text\": \"Divide 35 by $$\\\\frac{5}{7}$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Now, $$\\\\frac{35}{1} \\\\div \\\\frac{5}{7}$$<br>\r\n$$= \\\\frac{35}{1} \\\\times \\\\frac{7}{5}$$<br>\r\n$$= \\\\frac{35 \\\\times 7}{1 \\\\times 5}$$<br>\r\n$$= \\\\frac{175}{5}$$<br>\r\n$$= 35$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$25$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Now, $$\\\\frac{35}{1} \\\\div \\\\frac{5}{7}$$<br>\r\n$$= \\\\frac{35}{1} \\\\times \\\\frac{7}{5}$$<br>\r\n$$= \\\\frac{35 \\\\times 7}{1 \\\\times 5}$$<br>\r\n$$= \\\\frac{175}{5}$$<br>\r\n$$= 35$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{25}{49}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Now, $$\\\\frac{35}{1} \\\\div \\\\frac{5}{7}$$<br>\r\n$$= \\\\frac{35}{1} \\\\times \\\\frac{7}{5}$$<br>\r\n$$= \\\\frac{35 \\\\times 7}{1 \\\\times 5}$$<br>\r\n$$= \\\\frac{175}{5}$$<br>\r\n$$= 35$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{49}{25}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Now, $$\\\\frac{35}{1} \\\\div \\\\frac{5}{7}$$<br>\r\n$$= \\\\frac{35}{1} \\\\times \\\\frac{7}{5}$$<br>\r\n$$= \\\\frac{35 \\\\times 7}{1 \\\\times 5}$$<br>\r\n$$= \\\\frac{175}{5}$$<br>\r\n$$= 35$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$49$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Now, $$\\\\frac{35}{1} \\\\div \\\\frac{5}{7}$$<br>\r\n$$= \\\\frac{35}{1} \\\\times \\\\frac{7}{5}$$<br>\r\n$$= \\\\frac{35 \\\\times 7}{1 \\\\times 5}$$<br>\r\n$$= \\\\frac{175}{5}$$<br>\r\n$$= 35$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Now, $$\\\\frac{35}{1} \\\\div \\\\frac{5}{7}$$<br>\r\n$$= \\\\frac{35}{1} \\\\times \\\\frac{7}{5}$$<br>\r\n$$= \\\\frac{35 \\\\times 7}{1 \\\\times 5}$$<br>\r\n$$= \\\\frac{175}{5}$$<br>\r\n$$= 35$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-frequently-asked-questions-on-dividing-fractions-with-whole-numbers\">Frequently Asked Questions on Dividing Fractions with Whole Numbers<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-7859d184-9453-4291-886f-10ecf7ca0a4b\" 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-0-7859d184-9453-4291-886f-10ecf7ca0a4b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7859d184-9453-4291-886f-10ecf7ca0a4b\"><strong>What is the importance of dividing fractions with whole numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-7859d184-9453-4291-886f-10ecf7ca0a4b\">\n\n<p>Learning to know how to <strong>divide a fraction by a whole number<\/strong> is important because it helps in solving complex math problems based on fractions, ratio and proportion, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/decimal\" title=\"\">decimals<\/a>, etc., in higher classes.<\/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-1-7859d184-9453-4291-886f-10ecf7ca0a4b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7859d184-9453-4291-886f-10ecf7ca0a4b\"><strong>Do whole numbers include negative numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-7859d184-9453-4291-886f-10ecf7ca0a4b\">\n\n<p>No, whole numbers do not include negative numbers.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-7859d184-9453-4291-886f-10ecf7ca0a4b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7859d184-9453-4291-886f-10ecf7ca0a4b\"><strong>What is the reciprocal of 0 and 1?<\/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-2-7859d184-9453-4291-886f-10ecf7ca0a4b\">\n\n<p>The reciprocal of 0 doesn\u2019t exist, while the reciprocal of 1 is always 1.<\/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-3-7859d184-9453-4291-886f-10ecf7ca0a4b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7859d184-9453-4291-886f-10ecf7ca0a4b\"><strong>Why is a reciprocal used when dividing fractions?<\/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-3-7859d184-9453-4291-886f-10ecf7ca0a4b\">\n\n<p>A reciprocal is used to simplify the division process by converting the division sign to <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication\" title=\"\">multiplication<\/a>.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Dividing Fractions with Whole Numbers: Introduction Suppose you have to divide a half pizza among 6 friends. To find the share of each friend requires you to divide a fraction $\\frac{1}{2}$ by a whole number, 6. The following image shows two half parts of a whole pizza. Each half is further divided into 6 equal &#8230; <a title=\"Dividing a Fraction by a Whole Number &#8211; Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/dividing-fractions-with-whole-numbers\" aria-label=\"More on Dividing a Fraction by a Whole Number &#8211; 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-1337","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\/1337","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=1337"}],"version-history":[{"count":26,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1337\/revisions"}],"predecessor-version":[{"id":32869,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1337\/revisions\/32869"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1337"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1337"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1337"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}