{"id":1368,"date":"2022-04-19T05:04:40","date_gmt":"2022-04-19T05:04:40","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1368"},"modified":"2023-09-27T20:49:00","modified_gmt":"2023-09-27T20:49:00","slug":"fraction-number-line-definition-with-examples-copy","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-rules","title":{"rendered":"Fraction Rules &#8211; Definition with Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-cab82e64-5db7-456b-bdbf-06c9bdc468e2\" 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\/fraction-rules#0-what-are-fractions>What Are Fractions?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-rules#1-what-are-fraction-rules>What Are Fraction Rules?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-rules#8-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-rules#9-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-rules#10-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-are-fractions\">What Are Fractions?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Fractions are the mathematical representation of <strong>equal parts<\/strong> of a whole or a collection. When we divide a whole into a certain number of equal parts, we get a fraction of the whole. The numerator or the top number represents the number of selected or shaded parts of a whole, whereas the denominator or the bottom number represents the total number of parts.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, in the fraction $\\frac{4}{5}$, the numerator is 4 and the denominator is 5.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"352\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/Fraction-rules-1.png\" alt=\"Fraction is a part of a whole\" class=\"wp-image-20290\" title=\"Fraction is a part of a whole\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/Fraction-rules-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/Fraction-rules-1-300x170.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-decimal-fractions-using-equivalence\" 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\/decimals_convert_to_equi_frac_to_add_pt.png\" alt=\"Add Decimal Fractions Using Equivalence 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 Decimal Fractions Using Equivalence 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-fractions-using-models\" 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\/fractions_add_unlike_models_pt.png\" alt=\"Add Fractions using Models 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 Fractions using Models 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-fractions-with-the-aid-of-a-number-line\" 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\/fractions_add_like_frac_sum_greater_than_1_nl_pt.png\" alt=\"Add Fractions WIth the Aid of a Number LIne 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 Fractions WIth the Aid of a Number LIne 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-like-fractions\" 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\/fractions_add_like_frac_sum_upto_1_pt.png\" alt=\"Add Like Fractions 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 Like Fractions 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-like-fractions-greater-than-1\" 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\/fractions_find_sum_pt.png\" alt=\"Add Like Fractions Greater than 1 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 Like Fractions Greater than 1 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-like-fractions-to-get-a-sum-greater-than-1\" 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\/fractions_add_like_frac_sum_greater_than_1_pt.png\" alt=\"Add Like Fractions to Get a Sum Greater than 1 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 Like Fractions to Get a Sum Greater than 1 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-like-fractions-using-number-lines\" 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\/fractions_add_like_frac_sum_upto_1_nl_pt.png\" alt=\"Add Like Fractions using Number Lines 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 Like Fractions using Number Lines 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-the-fraction-to-the-mixed-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\/fractions_add_mixed_num_and_frac_pt.png\" alt=\"Add the Fraction to the Mixed 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 the Fraction to the Mixed 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-the-mixed-number-and-the-fraction-on-a-number-line\" 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\/fractions_add_nl_pt.png\" alt=\"Add the Mixed Number and the Fraction on a Number Line 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 the Mixed Number and the Fraction on a Number Line 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-unlike-fractions\" 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\/fractions_add_unlike_pt.png\" alt=\"Add Unlike Fractions 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 Unlike Fractions 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-what-are-fraction-rules\">What Are Fraction Rules?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Fraction rules are the set of rules we apply for working with fractions. The primary rule of fractions states that the value of a fraction does not change when its numerator and denominator are multiplied by the same non-zero number. It can be applied to add or subtract two fractions. Basic rules for fraction to add, subtract, multiply, and divide fractions are given below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"378\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/Fraction-rules-2.png\" alt=\"Fraction rules for basic arithmetic operations\" class=\"wp-image-20291\" title=\"Fraction rules for basic arithmetic operations\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Today, we will explore and learn about how to solve a problem on fractions using the rules for fractions<strong>. <\/strong>Let us get right to it.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"2-rules-for-addition-and-subtraction\">Rules for Addition and Subtraction<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">Like whole numbers, integers and decimals, we can also add and subtract two or more fractions. To add or subtract, we must have fractions with the same denominator.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If the denominators are already the same then we just need to either add or subtract the numerators.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Addition: $\\frac{A}{B} + \\frac{C}{B} = \\frac{A+C}{B}$. For example, $\\frac{1}{5} + \\frac{2}{5} = \\frac{1 + 2}{5} = \\frac{3}{5}$&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"389\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/Fraction-rules-3.png\" alt=\"Visual model of adding two fractions\" class=\"wp-image-20292\" title=\"Visual model of adding two fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/Fraction-rules-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/Fraction-rules-3-300x188.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Subtraction:&nbsp; $\\frac{A}{B} &#8211; \\frac{C}{B} = \\frac{A &#8211; C}{B}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example,&nbsp; $\\frac{3}{5} &#8211; \\frac{1}{5} = \\frac{3 &#8211; 1}{5} = \\frac{2}{5}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"449\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/Fraction-rules-4.png\" alt=\"Visual model of subtracting two fractions\" class=\"wp-image-20294\" title=\"Visual model of subtracting two fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/Fraction-rules-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/Fraction-rules-4-300x217.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">If the denominators of the fractions are different, then we need to convert them to like fractions (same denominator). This can be done by finding the common denominator and converting each fraction so that they have a common denominator.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Adding and subtracting fraction rules are as follows.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Addition: $\\frac{A}{B} + \\frac{C}{D} = \\frac{AD}{BD} + \\frac{CB}{BD} = \\frac{AD&nbsp; +&nbsp; CB}{BD}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Subtraction: $\\frac{A}{B} &#8211; \\frac{C}{D} = \\frac{AD}{BD} &#8211; \\frac{CB}{BD} = \\frac{AD &#8211; CB}{BD}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, $\\frac{1}{5} + \\frac{2}{7} = \\frac{1 \\times 7}{5 \\times 7} + \\frac{2 \\times 5}{7 \\times 5} = \\frac{7}{35} + \\frac{10}{35} = \\frac{7 + 10}{35} = \\frac{17}{35}$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"3-rule-for-multiplication\">Rule for Multiplication<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">Multiplication of two or more fractions does not require a common denominator like addition and subtraction does. To multiply fractions, simply multiply the numerators and multiply the denominators.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{A}{B} \\times \\frac{C}{D} = \\frac{AC}{BD}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: $\\frac{4}{7} \\times \\frac{2}{6} = \\frac{8}{42} = \\frac{4}{21}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The following are some rules we need to keep in our mind while multiplying two fractions.&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Unlike fractions can be multiplied.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">A numerator can only be multiplied by a numerator, and a denominator can only be multiplied by a denominator.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">To multiply mixed numbers, we can change them to improper fractions and multiply.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"4-rule-for-division\">Rule for Division<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">To divide one fraction by another, we must write the reciprocal of the second term or fraction and then multiply with the first.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{A}{B} \\div \\frac{C}{D} = \\frac{A}{B} \\times \\frac{D}{C} = \\frac{AD}{BC}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, $\\frac{1}{2} \\div \\frac{3}{5} = \\frac{1}{2} \\times \\frac{5}{3} = \\frac{5}{6}$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"5-rule-for-conversion-between-mixed-number-and-improper-fraction\">Rule for Conversion between Mixed Number and Improper Fraction<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">To convert a mixed number to an improper fraction, multiply the whole part by the denominator and add the product to the numerator. The denominator remains unchanged.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$A\\frac{b}{c} = \\frac{A \\times c + b}{c}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, $2\\frac{3}{8} = \\frac{2 \\times 8 + 3}{8} = \\frac{19}{8}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">To convert an improper fraction to a mixed number, divide the numerator by the denominator. The mixed number is the quotient, and the remainder is divided by the denominator.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, $\\frac{5}{4} = 1\\frac{1}{4}$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"6-rule-for-comparing-fraction\">Rule for Comparing Fraction<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">To compare like fractions (with like denominators), just compare the numerators. In such a case, the fraction with a greater numerator is greater.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, $\\frac{23}{5} \\lt \\frac{27}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">To compare fractions with like numerators, compare the denominators. The fraction with a greater denominator is smaller.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, $\\frac{23}{5} \\gt \\frac{23}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">To compare fractions with unlike denominators, either convert them to a decimal or transform them to a common denominator, then compare them.<\/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-decimal-fractions-to-write-decimal-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\" 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class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/adding-fractions-using-models\" 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\/adding-fractions-using-models.jpeg\" alt=\"Adding Fractions Using Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we learned about fraction rules. There are different rules to do operations with fractions. To read more such informative articles on other concepts, visit our website! We, at SplashLearn, are on a mission to make learning fun and interactive for all students.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Add <\/strong>$\\frac{2}{9}$<strong> and <\/strong>$\\frac{5}{36}$<strong>.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{2}{9} + \\frac{5}{36}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">LCM 9 and $36 = 36$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Find the fraction equivalent to $\\frac{2}{9}$ with denominator 36.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{2}{9} + \\frac{5}{36} = \\frac{2 \\times 4} {9 \\times 4} + \\frac{5}{36} = \\frac{8}{36} + \\frac{5}{36} = \\frac{13}{36}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Multiply <\/strong>$\\frac{11}{13}$ and $\\frac{143}{121}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{11}{13} \\times \\frac{143}{121} = \\frac{1573}{1573} = 1$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Divide <\/strong>$\\frac{3}{10}$<strong> by <\/strong>$2\\frac{2}{5}$<strong>.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Division by a fraction is the same as multiplying by its reciprocal.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{A}{B} \\div \\frac{C}{D} = \\frac{A}{B} \\times \\frac{D}{C} = \\frac{AD}{BC}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{3}{10} \\div 2\\frac{2}{5} = \\frac{3}{10} \\div \\frac{12}{5} = \\frac{3}{10} \\times \\frac{5}{12} = \\frac{15}{120} = \\frac{1}{8}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Fraction Rules - 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\">Which of the following will be the sum of $\\frac{5}{6}$ and $\\frac{9}{6}$? <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{14}{11}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{14}{12}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{14}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{15}{6}$<\/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: $\\frac{14}{6}$<br\/>Sum of $\\frac{5}{6}$ and $\\frac{9}{6} = \\frac{5}{6} + \\frac{9}{6} = \\frac{14}{6}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following is equivalent to $\\frac{3}{7}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{12}{21}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{7}{11}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{12}{28}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{2}{6}$<\/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: $\\frac{12}{28}$<br\/>The value of a fraction does not change when its numerator and denominator are multiplied or divided by the same non-zero number. \r\n$\\frac{3}{7} = \\frac{3 \\times 4}{7 \\times 4} = \\frac{12}{28}$<\/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\">Which of the following is equal to $5\\frac{3}{10}$ ?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{53}{10}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{50}{10}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{53}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{25}{10}$<\/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: $\\frac{53}{10}$<br\/>$5\\frac{3}{10} = \\frac{5 \\times 10 + 3}{10} = \\frac{53}{10}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Which of the following is greater than $\\frac{11}{10}$ ?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{11}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{11}{15}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{7}{10}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{3}{10}$<\/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: $\\frac{11}{8}$<br\/>The fraction arranged in ascending order: $\\frac{3}{10} \\lt \\frac{7}{10} \\lt \\frac{11}{15} \\lt \\frac{11}{10} \\lt \\frac{11}{18}$<br>\r\nTherefore, $\\frac{11}{18}$ is greater than $\\frac{11}{10}$.<\/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        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               \"@type\": \"Comment\",\n                      \"text\": \"Sum of $$\\\\frac{5}{6}$$ and $$\\\\frac{9}{6} = \\\\frac{5}{6} + \\\\frac{9}{6} = \\\\frac{14}{6}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{14}{11}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Sum of $$\\\\frac{5}{6}$$ and $$\\\\frac{9}{6} = \\\\frac{5}{6} + \\\\frac{9}{6} = \\\\frac{14}{6}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n        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                            \"@type\": \"Comment\",\n                                    \"text\": \"The value of a fraction does not change when its numerator and denominator are multiplied or divided by the same non-zero number. \r\n$$\\\\frac{3}{7} = \\\\frac{3 \\\\times 4}{7 \\\\times 4} = \\\\frac{12}{28}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{7}{11}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The value of a fraction does not change when its numerator and denominator are multiplied or divided by the same non-zero number. \r\n$$\\\\frac{3}{7} = \\\\frac{3 \\\\times 4}{7 \\\\times 4} = \\\\frac{12}{28}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{2}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The value of a fraction does not change when its numerator and denominator are multiplied or divided by the same non-zero number. \r\n$$\\\\frac{3}{7} = \\\\frac{3 \\\\times 4}{7 \\\\times 4} = \\\\frac{12}{28}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      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\"Practice problem\",\n                    \"name\": \"Which of the following is equal to $$5\\\\frac{3}{10}$$ ?\",\n                    \"text\": \"Which of the following is equal to $$5\\\\frac{3}{10}$$ ?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$5\\\\frac{3}{10} = \\\\frac{5 \\\\times 10 + 3}{10} = \\\\frac{53}{10}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{50}{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$5\\\\frac{3}{10} = \\\\frac{5 \\\\times 10 + 3}{10} = \\\\frac{53}{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{53}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$5\\\\frac{3}{10} = \\\\frac{5 \\\\times 10 + 3}{10} = \\\\frac{53}{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{25}{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$5\\\\frac{3}{10} = \\\\frac{5 \\\\times 10 + 3}{10} = \\\\frac{53}{10}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{53}{10}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$5\\\\frac{3}{10} = \\\\frac{5 \\\\times 10 + 3}{10} = \\\\frac{53}{10}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$5\\\\frac{3}{10} = \\\\frac{5 \\\\times 10 + 3}{10} = \\\\frac{53}{10}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is greater than $$\\\\frac{11}{10}$$ ?\",\n                    \"text\": \"Which of the following is greater than $$\\\\frac{11}{10}$$ ?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The fraction arranged in ascending order: $$\\\\frac{3}{10} \\\\lt \\\\frac{7}{10} \\\\lt \\\\frac{11}{15} \\\\lt \\\\frac{11}{10} \\\\lt \\\\frac{11}{18}$$<br>\r\nTherefore, $$\\\\frac{11}{18}$$ is greater than $$\\\\frac{11}{10}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{11}{15}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The fraction arranged in ascending order: $$\\\\frac{3}{10} \\\\lt \\\\frac{7}{10} \\\\lt \\\\frac{11}{15} \\\\lt \\\\frac{11}{10} \\\\lt \\\\frac{11}{18}$$<br>\r\nTherefore, $$\\\\frac{11}{18}$$ is greater than $$\\\\frac{11}{10}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{7}{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The fraction arranged in ascending order: $$\\\\frac{3}{10} \\\\lt \\\\frac{7}{10} \\\\lt \\\\frac{11}{15} \\\\lt \\\\frac{11}{10} \\\\lt \\\\frac{11}{18}$$<br>\r\nTherefore, $$\\\\frac{11}{18}$$ is greater than $$\\\\frac{11}{10}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The fraction arranged in ascending order: $$\\\\frac{3}{10} \\\\lt \\\\frac{7}{10} \\\\lt \\\\frac{11}{15} \\\\lt \\\\frac{11}{10} \\\\lt \\\\frac{11}{18}$$<br>\r\nTherefore, $$\\\\frac{11}{18}$$ is greater than $$\\\\frac{11}{10}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{11}{8}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The fraction arranged in ascending order: $$\\\\frac{3}{10} \\\\lt \\\\frac{7}{10} \\\\lt \\\\frac{11}{15} \\\\lt \\\\frac{11}{10} \\\\lt \\\\frac{11}{18}$$<br>\r\nTherefore, $$\\\\frac{11}{18}$$ is greater than $$\\\\frac{11}{10}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The fraction arranged in ascending order: $$\\\\frac{3}{10} \\\\lt \\\\frac{7}{10} \\\\lt \\\\frac{11}{15} \\\\lt \\\\frac{11}{10} \\\\lt \\\\frac{11}{18}$$<br>\r\nTherefore, $$\\\\frac{11}{18}$$ is greater than $$\\\\frac{11}{10}$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-bd29c658-092b-4f8b-9a7e-8d535071ccf5\" 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-bd29c658-092b-4f8b-9a7e-8d535071ccf5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bd29c658-092b-4f8b-9a7e-8d535071ccf5\"><strong>What is the fraction rule for zero numerators?<\/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-bd29c658-092b-4f8b-9a7e-8d535071ccf5\">\n\n<p class=\"eplus-wrapper\">The fraction rule for zero numerators is that whenever the numerator is zero in a fraction, the result is equal to 0, irrespective of any number in the denominator.For example, $\\frac{0}{5} = 0$<\/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-bd29c658-092b-4f8b-9a7e-8d535071ccf5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bd29c658-092b-4f8b-9a7e-8d535071ccf5\"><strong>What is the fraction rule for multiplying a fraction and a whole number?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-bd29c658-092b-4f8b-9a7e-8d535071ccf5\">\n\n<p class=\"eplus-wrapper\">For multiplying a fraction and a whole number, we multiply the numerator by the whole number. The denominator remains unchanged. At last, we reduce the fraction if required. For example, $2 \\times \\frac{3}{5} = \\farc{2 \\times 3}{5} = \\frac{6}{5}$<\/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-bd29c658-092b-4f8b-9a7e-8d535071ccf5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bd29c658-092b-4f8b-9a7e-8d535071ccf5\"><strong>What is the fraction rule for dividing a fraction by a whole 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-2-bd29c658-092b-4f8b-9a7e-8d535071ccf5\">\n\n<p class=\"eplus-wrapper\">To divide a fraction by a whole number, we convert the whole number to a fraction, and then we divide the fractions.&nbsp;For example, $\\frac{4}{7} \\div 3 = \\frac{4}{7} \\div \\frac{3}{1} = \\frac{4}{7} \\times \\frac{1}{3} = \\frac{4}{21}$<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Are Fractions? Fractions are the mathematical representation of equal parts of a whole or a collection. When we divide a whole into a certain number of equal parts, we get a fraction of the whole. The numerator or the top number represents the number of selected or shaded parts of a whole, whereas the &#8230; <a title=\"Fraction Rules &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-rules\" aria-label=\"More on Fraction Rules &#8211; Definition with Examples\">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-1368","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\/1368","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=1368"}],"version-history":[{"count":16,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1368\/revisions"}],"predecessor-version":[{"id":34367,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1368\/revisions\/34367"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1368"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}