{"id":2103,"date":"2022-04-26T08:39:25","date_gmt":"2022-04-26T08:39:25","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2103"},"modified":"2023-02-20T08:07:14","modified_gmt":"2023-02-20T08:07:14","slug":"common-numerator-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/common-numerator","title":{"rendered":"Common Numerator"},"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-eff3295b-e116-46fc-a6ac-1f18d98c0362\" 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\/multiplication\/common-numerator#0-common-numerator-introduction>Common Numerator &#8211; Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/common-numerator#1-what-is-a-common-numerator>What Is a Common Numerator?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/common-numerator#2-comparing-fractions-with-like-numerators>Comparing Fractions with Like Numerators<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/common-numerator#3-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/common-numerator#4-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/common-numerator#5-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-common-numerator-introduction\">Common Numerator &#8211; Introduction<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">When numbers are written as a fraction, they can be represented as $\\frac{a}{b}$. Now the fraction has two main parts: the numerator and the denominator.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">When the <strong>numerators<\/strong> of two or more fractions are the same or like, the fractions are said to have a <strong>like numerator<\/strong>, irrespective of whether the denominators are the same or not.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"374\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Common-Numerator-1.png\" alt=\"Example of common numerator\" class=\"wp-image-13784\" title=\"Example of common numerator\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Common-Numerator-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Common-Numerator-1-300x181.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">In the above example, the first figure is divided into 3 parts, and 1 part is shaded, whereas in the second figure, there are 4 equal parts, and only 1 is shaded. Thus, the fractions \u2153 and \u00bc have like numerators.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">When two or more fractions have different numerators, we can convert them into fractions with the same numerators by finding the common multiple of the numerators. Today, we will learn about the definition of <strong>Common Numerators <\/strong>and its facts<strong>. <\/strong>Let us get right into it.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-correct-product-for-the-multiplication-expressions\" 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\/mult_div_pv_mult_match_4dby1d_fluently_pt.png\" alt=\"Choose the Correct Product for the Multiplication Expressions 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\">Choose the Correct Product for the Multiplication Expressions 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\/choose-the-missing-number-in-the-multiplication-solution\" 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\/mult_div_pv_find_missing_2dby1d_pt.png\" alt=\"Choose the Missing Number in the Multiplication Solution 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\">Choose the Missing Number in the Multiplication Solution 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\/choose-the-multiplication-expression-representing-fraction-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_represent_mult_unit_by_whole_pt.png\" alt=\"Choose the Multiplication Expression Representing Fraction 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\">Choose the Multiplication Expression Representing Fraction 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\/choose-the-product-for-the-multiplication-questions\" 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\/mult_div_pv_find_product_4dby1d_1_pt.png\" alt=\"Choose the Product for the Multiplication Questions 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\">Choose the Product for the Multiplication Questions 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\/choose-to-complete-each-of-the-multiplication-expressions\" 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\/mult_div_pv_mult_match_3dby1d_fluently_pt.png\" alt=\"Choose to Complete each of the Multiplication Expressions 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\">Choose to Complete each of the Multiplication Expressions 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\/compare-fraction-with-same-numerators\" 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_compare_same_num_nl_pt.png\" alt=\"Compare Fraction with Same Numerators 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\">Compare Fraction with Same Numerators 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\/compare-fractions-with-like-numerators\" 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_make_way_17_gm.png\" alt=\"Compare Fractions with Like Numerators 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\">Compare Fractions with Like Numerators 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\/complete-the-decimal-multiplication-pattern\" 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\/dec_mul_div_complete_mul_pattern_pt.png\" alt=\"Complete the Decimal Multiplication Pattern 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\">Complete the Decimal Multiplication Pattern 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\/complete-the-multiplication-between-fractions-and-whole-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\/fractions_complete_multiplication_pt.png\" alt=\"Complete the Multiplication Between Fractions and Whole 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\">Complete the Multiplication Between Fractions and Whole 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\/complete-the-multiplication-expression-using-the-fraction-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_multiply_models_unit_by_whole_pt.png\" alt=\"Complete the Multiplication Expression Using the Fraction 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\">Complete the Multiplication Expression Using the Fraction 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><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 = 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});\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"1-what-is-a-common-numerator\">What Is a Common Numerator?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">A common multiple of the numerators of two or more fractions is called a common numerator. Let\u2019s study more by considering the following example.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Take the fractions $\\frac{4}{5}$ and $\\frac{6}{7}$. Both fractions have different <strong>numerators. <\/strong>To find their <strong>common numerator<\/strong>, we find the common multiples of the numerators 4 and 6.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Multiples of 4<\/strong>: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, . . .<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Multiples of 6<\/strong>: 6, 12, 18, 24, 30, 36, 42, . . .<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Common multiples of 4 and 6:<\/strong> 12, 24, 36, . . .<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, the least common numerator for 4\u20445 and 6\u20447 can be 12, 24, 36, . . .<\/p>\n\n\n\n<p class=\" eplus-wrapper\">If we want the common numerator to be 12, we must find the equivalent fraction of $\\frac{4}{5}$ and $\\frac{6}{7}$, which has 12 as the numerator.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"497\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Common-Numerator-2.png\" alt=\"Finding the common numerator of two fractions\" class=\"wp-image-13785\" title=\"Finding the common numerator of two fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Common-Numerator-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Common-Numerator-2-300x240.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Now, we have two fractions with the same<strong> numerator<\/strong>.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, $\\frac{12}{15}$ and $\\frac{12}{14}$ have a <strong>common numerator<\/strong>. It is 12.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, now that we know how to find common numerators, how do we put them to use? How do they help us solve problems in fractions? Let\u2019s take a look at some of the applications of common numerators. The most common use of it<strong> <\/strong>is to compare fractions.<strong> <\/strong>We can easily compare two or more fractions when their numerators are common or like. Let\u2019s now figure out how we can do this.<\/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\/addition-and-multiplication-expression-for-array\" 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\/addition-and-multiplication-expression-for-array.jpeg\" alt=\"Addition and Multiplication Expression for Array 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\/addition-and-multiplication-expressions\" 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\/addition-and-multiplication-expressions.jpeg\" alt=\"Addition and Multiplication Expressions 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\/apply-multiplication-in-everyday-life\" 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\/apply-multiplication-in-everyday-life.jpeg\" alt=\"Apply Multiplication in Everyday Life 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\/break-the-multiplication-expression\" 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\/break-the-multiplication-expression.jpeg\" alt=\"Break the Multiplication Expression 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\/choose-your-own-multiplication-strategy\" 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\/choose-your-own-multiplication-strategy.jpeg\" alt=\"Choose Your own Multiplication Strategy 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\/commutative-property-of-multiplication\" 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\/commutative-property-of-multiplication.jpeg\" alt=\"Commutative Property of Multiplication 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\/compare-fractions-by-finding-common-denominator\" 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\/compare-fractions-by-finding-common-denominator.jpeg\" alt=\"Compare Fractions by Finding Common Denominator 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\/compare-the-multiplication-expressions\" 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\/compare-the-multiplication-expressions.jpeg\" alt=\"Compare the Multiplication Expressions 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\/comparing-multiplication-expressions\" 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\/comparing-multiplication-expressions.jpeg\" alt=\"Comparing Multiplication Expressions 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\/complete-multiplication-and-division-sentences\" 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});\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"2-comparing-fractions-with-like-numerators\">Comparing Fractions with Like Numerators<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">We can use multiple strategies for comparing fractions. One of these is to compare the fraction by finding the common numerator strategy. Comparing fractions with like or same numerators is an easy task. For example, let us compare $\\frac{2}{5}$ and $\\frac{4}{7}$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Look at the two numerators (4 and 2) and the two denominators (5 and 7). It is much easier to find a common multiple of the numerators (4) than to find a common denominator. So, find a fraction equivalent to $\\frac{2}{5}$ with 4 as a numerator $(\\frac{2}{5} \\times \\frac{2}{2} = \\frac{4}{10} )$.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"312\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Common-Numerator-3.png\" alt=\"Comparing fractions having common numerator: 410 and 47\" class=\"wp-image-13786\" title=\"Comparing fractions having common numerator: 410 and 47\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Common-Numerator-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Common-Numerator-3-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">You can now compare $\\frac{4}{10}$ and $\\frac{4}{7}$ by comparing the size of each piece. Since sevenths are larger than tenths, $\\frac{4}{7}$ is greater than $\\frac{4}{10}$ or $\\frac{2}{5}$ .&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">To compare two or more fractions with the same or like numerators, we just have to compare their denominators. The fraction with the smallest denominator is the greatest.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">If we compare $\\frac{8}{11}$ and $\\frac{8}{17}$, we take a look at the denominators. Since 17 is more than 11. So,&nbsp; $\\frac{8}{11}\\gt\\frac{8}{17}$.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>1. Identify which fractions have the same numerator.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\frac{3}{8},\\frac{7}{8}, \\frac{3}{7}$ and $\\frac{2}{7}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">The fractions given are: $\\frac{3}{8},\\frac{7}{8}, \\frac{3}{7}$ and $\\frac{2}{7}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Of these, the fractions $\\frac{3}{8}$, and $\\frac{3}{7}$ have the same numerator. Their numerators are like as they have the number 3 as the common numerator.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>2. Find out the common numerator of <\/strong>$\\frac{5}{8}$ and $\\frac{7}{9}$<strong>.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">To find their common numerator, we find the common multiples of the numerators 5 and 7.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Multiples of 5<\/strong>: 5, 10, 15, 20, 25, 30, 35, 40, . . .<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Multiples of 7<\/strong>: 7, 14, 21, 28, 35, 42, . . .<\/p>\n\n\n\n<p class=\" eplus-wrapper\">As we can seen, a common multiple of 5 and 7 is 35<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, a common numerator for $\\frac{5}{8}$ and $\\frac{7}{9}$<strong> <\/strong>can be 35.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">If we want the common numerator to be 35, we need to multiply both the numerator and denominator as shown:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\frac{5}{8}\\times \\frac{7}{7} = \\frac{35}{56}$ &nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\frac{7}{9} \\times \\frac{5}{5} = \\frac{35}{45}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Now, we have two fractions with the same numerator.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\frac{35}{56} \\gets$ <strong>common numerator<\/strong> $\\to \\frac{35}{45}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>3. Which fraction is greater: <\/strong>$\\frac{5}{11}$ or $\\frac{5}{13}$<strong>?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">The fractions $\\frac{5}{11}$ and $\\frac{5}{13}$ have&nbsp; the same numerator: 5. We know that if two or more fractions have like numerator, the fraction with the smallest denominator is the greatest. So, elevenths are greater than thirteenths.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, $\\frac{5}{11} \\gt&nbsp;\\frac{5}{13}$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>4. Arrange the following fractions: <\/strong>$\\frac{7}{11} ; \\frac{7}{17}; \\frac{7}{10}; \\frac{7}{12}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>a) in the ascending order &nbsp; b) in the descending order<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">The fractions $\\frac{7}{11} ; \\frac{7}{17}; \\frac{7}{10}$ and $\\frac{7}{12}$<strong> <\/strong>have the same numerator: 7. We know that if two or more fractions have like numerators, the fraction with the smallest denominator is the greatest.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">a) in the ascending order (smallest to greatest): $\\frac{7}{17} \\lt \\frac{7}{12} \\lt \\frac{7}{11} \\lt \\frac{7}{10}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">b) in the descending order (greatest to smallest): $\\frac{7}{10} \\gt \\frac{7}{11} \\gt \\frac{7}{12} \\gt \\frac{7}{17}$<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Common Numerator<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the common numerator of these fractions: $\\frac{7}{9} ; \\frac{7}{11}; \\frac{7}{12}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">7<\/div><div class=\"spq_answer_block\" data-value=\"1\">9<\/div><div class=\"spq_answer_block\" data-value=\"2\">11<\/div><div class=\"spq_answer_block\" data-value=\"3\">12<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 7<br\/>We know that the numerator is the part of a fraction that is above the fraction bar. So, the numerator of these fractions is 7.<\/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\">Which of these fractions is the greatest?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{5}{7}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{5}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{5}{11}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{5}{9}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{5}{6}$<br\/>We know that if two or more fractions have like numerators, the fraction with the smallest denominator is the greatest. Since 6 is the smallest, $\\frac{5}{6}$ is the greatest of these fractions.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Choose the correct symbol to make the statement true.<br>$\\frac{2}{7}$ ____ $\\frac{4}{13}$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\gt$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\lt$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$=$<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/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: $\\lt$<br\/>Look at the relationship between the two numerators (4 and 2). Let\u2019s make the numerator the same or like by finding the common multiple of the numerators, which is 4.<br>\r\n$\\frac{2}{7}=\\frac{4}{14}$. Now compare the fractions $\\frac{4}{14}$ and $\\frac{4}{13} .  \\frac{4}{14} \\lt \\frac{4}{13}$<\/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 fractions is greater than $\\frac{3}{5}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{3}{4}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{3}{7}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{3}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{3}{9}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{3}{4}$<br\/>If two or more fractions have a common numerator, then the fraction with the smallest denominator is the greatest. Here 4 is smaller than 5, making $\\frac{3}{4} \\gt \\frac{3}{5}$.<\/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\": \"Common Numerator\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Common Numerator\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the common numerator of these fractions: $$\\\\frac{7}{9} ; \\\\frac{7}{11}; \\\\frac{7}{12}$$?\",\n                    \"text\": \"What is the common numerator of these fractions: $$\\\\frac{7}{9} ; \\\\frac{7}{11}; \\\\frac{7}{12}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We know that the numerator is the part of a fraction that is above the fraction bar. So, the numerator of these fractions is 7.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that the numerator is the part of a fraction that is above the fraction bar. So, the numerator of these fractions is 7.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"11\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that the numerator is the part of a fraction that is above the fraction bar. So, the numerator of these fractions is 7.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that the numerator is the part of a fraction that is above the fraction bar. So, the numerator of these fractions is 7.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"7\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know that the numerator is the part of a fraction that is above the fraction bar. So, the numerator of these fractions is 7.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know that the numerator is the part of a fraction that is above the fraction bar. So, the numerator of these fractions is 7.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of these fractions is the greatest?\",\n                    \"text\": \"Which of these fractions is the greatest?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We know that if two or more fractions have like numerators, the fraction with the smallest denominator is the greatest. Since 6 is the smallest, $$\\\\frac{5}{6}$$ is the greatest of these fractions.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{5}{7}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that if two or more fractions have like numerators, the fraction with the smallest denominator is the greatest. Since 6 is the smallest, $$\\\\frac{5}{6}$$ is the greatest of these fractions.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{5}{11}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that if two or more fractions have like numerators, the fraction with the smallest denominator is the greatest. Since 6 is the smallest, $$\\\\frac{5}{6}$$ is the greatest of these fractions.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{5}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that if two or more fractions have like numerators, the fraction with the smallest denominator is the greatest. Since 6 is the smallest, $$\\\\frac{5}{6}$$ is the greatest of these fractions.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{5}{6}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know that if two or more fractions have like numerators, the fraction with the smallest denominator is the greatest. Since 6 is the smallest, $$\\\\frac{5}{6}$$ is the greatest of these fractions.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know that if two or more fractions have like numerators, the fraction with the smallest denominator is the greatest. Since 6 is the smallest, $$\\\\frac{5}{6}$$ is the greatest of these fractions.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Choose the correct symbol to make the statement true.<br>$$\\\\frac{2}{7}$$ ____ $$\\\\frac{4}{13}$$\",\n                    \"text\": \"Choose the correct symbol to make the statement true.<br>$$\\\\frac{2}{7}$$ ____ $$\\\\frac{4}{13}$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Look at the relationship between the two numerators (4 and 2). Let\u2019s make the numerator the same or like by finding the common multiple of the numerators, which is 4.<br>\r\n$$\\\\frac{2}{7}=\\\\frac{4}{14}$$. Now compare the fractions $$\\\\frac{4}{14}$$ and $$\\\\frac{4}{13} .  \\\\frac{4}{14} \\\\lt \\\\frac{4}{13}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\gt$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Look at the relationship between the two numerators (4 and 2). Let\u2019s make the numerator the same or like by finding the common multiple of the numerators, which is 4.<br>\r\n$$\\\\frac{2}{7}=\\\\frac{4}{14}$$. Now compare the fractions $$\\\\frac{4}{14}$$ and $$\\\\frac{4}{13} .  \\\\frac{4}{14} \\\\lt \\\\frac{4}{13}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$=$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Look at the relationship between the two numerators (4 and 2). Let\u2019s make the numerator the same or like by finding the common multiple of the numerators, which is 4.<br>\r\n$$\\\\frac{2}{7}=\\\\frac{4}{14}$$. Now compare the fractions $$\\\\frac{4}{14}$$ and $$\\\\frac{4}{13} .  \\\\frac{4}{14} \\\\lt \\\\frac{4}{13}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Look at the relationship between the two numerators (4 and 2). Let\u2019s make the numerator the same or like by finding the common multiple of the numerators, which is 4.<br>\r\n$$\\\\frac{2}{7}=\\\\frac{4}{14}$$. Now compare the fractions $$\\\\frac{4}{14}$$ and $$\\\\frac{4}{13} .  \\\\frac{4}{14} \\\\lt \\\\frac{4}{13}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\lt$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Look at the relationship between the two numerators (4 and 2). Let\u2019s make the numerator the same or like by finding the common multiple of the numerators, which is 4.<br>\r\n$$\\\\frac{2}{7}=\\\\frac{4}{14}$$. Now compare the fractions $$\\\\frac{4}{14}$$ and $$\\\\frac{4}{13} .  \\\\frac{4}{14} \\\\lt \\\\frac{4}{13}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Look at the relationship between the two numerators (4 and 2). Let\u2019s make the numerator the same or like by finding the common multiple of the numerators, which is 4.<br>\r\n$$\\\\frac{2}{7}=\\\\frac{4}{14}$$. Now compare the fractions $$\\\\frac{4}{14}$$ and $$\\\\frac{4}{13} .  \\\\frac{4}{14} \\\\lt \\\\frac{4}{13}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following fractions is greater than $$\\\\frac{3}{5}$$?\",\n                    \"text\": \"Which of the following fractions is greater than $$\\\\frac{3}{5}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"If two or more fractions have a common numerator, then the fraction with the smallest denominator is the greatest. Here 4 is smaller than 5, making $$\\\\frac{3}{4} \\\\gt \\\\frac{3}{5}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{7}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If two or more fractions have a common numerator, then the fraction with the smallest denominator is the greatest. Here 4 is smaller than 5, making $$\\\\frac{3}{4} \\\\gt \\\\frac{3}{5}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{8}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If two or more fractions have a common numerator, then the fraction with the smallest denominator is the greatest. Here 4 is smaller than 5, making $$\\\\frac{3}{4} \\\\gt \\\\frac{3}{5}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If two or more fractions have a common numerator, then the fraction with the smallest denominator is the greatest. Here 4 is smaller than 5, making $$\\\\frac{3}{4} \\\\gt \\\\frac{3}{5}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{3}{4}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If two or more fractions have a common numerator, then the fraction with the smallest denominator is the greatest. Here 4 is smaller than 5, making $$\\\\frac{3}{4} \\\\gt \\\\frac{3}{5}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If two or more fractions have a common numerator, then the fraction with the smallest denominator is the greatest. Here 4 is smaller than 5, making $$\\\\frac{3}{4} \\\\gt \\\\frac{3}{5}$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-f7319527-e958-4807-bc13-97c8cbfa5b58\" 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-f7319527-e958-4807-bc13-97c8cbfa5b58\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f7319527-e958-4807-bc13-97c8cbfa5b58\"><strong>What does the numerator represent?<\/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-f7319527-e958-4807-bc13-97c8cbfa5b58\">\n\n<p class=\" eplus-wrapper\">The <strong>numerator <\/strong>is the number that sits on the top<strong> <\/strong>of the fraction<strong> <\/strong>bar and represents the number of parts out of the whole. For example, in the fraction $\\frac{18}{11}$, the number 18 is the numerator.<\/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-f7319527-e958-4807-bc13-97c8cbfa5b58\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f7319527-e958-4807-bc13-97c8cbfa5b58\"><strong>What is the numerator in the context of division?<\/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-f7319527-e958-4807-bc13-97c8cbfa5b58\">\n\n<p class=\" eplus-wrapper\">In the context of division, the numerator is the dividend. We know that the number to be divided or distributed into a certain number of equal parts is called the dividend. Let us understand this with an example: If we were to divide the number 24 by 7 or $\\frac{24}{7}$, the number 24 in this division is the numerator or dividend.<\/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-f7319527-e958-4807-bc13-97c8cbfa5b58\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f7319527-e958-4807-bc13-97c8cbfa5b58\"><strong>What is a common denominator?<\/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-f7319527-e958-4807-bc13-97c8cbfa5b58\">\n\n<p class=\" eplus-wrapper\">In a fraction, a denominator represents the number of equal parts a whole is divided into. A common denominator is a common multiple of the denominators of two or more fractions. For example, consider the fractions $\\frac{1}{8}$ and $\\frac{1}{6}$. 24 is a common multiple of denominators 8 and 6. Thus, 24 is a common denominator of fractions $\\frac{1}{8}$ and $\\frac{1}{6}$.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Common Numerator &#8211; Introduction When numbers are written as a fraction, they can be represented as $\\frac{a}{b}$. Now the fraction has two main parts: the numerator and the denominator.&nbsp; When the numerators of two or more fractions are the same or like, the fractions are said to have a like numerator, irrespective of whether the &#8230; <a title=\"Common Numerator\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/common-numerator\" aria-label=\"More on Common Numerator\">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-2103","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\/2103","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=2103"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2103\/revisions"}],"predecessor-version":[{"id":24998,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2103\/revisions\/24998"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2103"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2103"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2103"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}