{"id":1708,"date":"2022-04-21T13:30:05","date_gmt":"2022-04-21T13:30:05","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1708"},"modified":"2024-01-01T07:00:13","modified_gmt":"2024-01-01T07:00:13","slug":"1708-2","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/unlike-denominators","title":{"rendered":"Unlike Denominators"},"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-98e43472-655d-4510-aefb-7c851b4e09fa\" 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\/unlike-denominators#0-what-is-a-denominator>What Is a Denominator?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/unlike-denominators#1-definition-of-unlike-denominators>Definition of Unlike Denominators<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/unlike-denominators#3-how-to-compare-fractions-with-unlike-denominators>How to Compare Fractions with Unlike Denominators?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/unlike-denominators#5-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/unlike-denominators#6-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/unlike-denominators#7-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/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%\">\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-denominator\">What Is a Denominator?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Fractions represent a part of the whole. When numbers are written as a fraction, it can be represented as $\\frac{p}{q}$, where p is the numerator and q is the denominator. A numerator is the part of a fraction above the fraction bar and represents the number of parts out of the whole, whereas a denominator is the total number of the parts.&nbsp;<\/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\/2024\/01\/four-out-of-five-equal-parts-of-a-circle-shaded.png\" alt=\"4 out of 5 equal parts of a circle shaded\" class=\"wp-image-36853\" title=\"4 out of 5 equal parts of a circle shaded\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/four-out-of-five-equal-parts-of-a-circle-shaded.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/four-out-of-five-equal-parts-of-a-circle-shaded-300x170.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">There are two types of fractions based on the denominator.&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Like Fractions<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">The fractions with the same denominator are known as the like fractions. For example: $\\frac{2}{7}$ and $\\frac{5}{7}.$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Unlike Fractions<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">The fractions with different denominators are known as unlike fractions. For example: $\\frac{5}{7}$ and $\\frac{4}{9}$<\/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\/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-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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/are-the-fractions-equivalent\" 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_identify_equi_visual_model_pt.png\" alt=\"Are the Fractions Equivalent 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\">Are the Fractions Equivalent 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\/area-word-problems-on-product-of-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_real_life_prob_area_pt.png\" alt=\"Area Word Problems on Product of 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\">Area Word Problems on Product of 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 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                 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-definition-of-unlike-denominators\">Definition of Unlike Denominators<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">We just learnt about fractions, their representation and types based on the value of the denominator. So, what are unlike denominators?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When two or more fractions have different denominators, then the denominators of the fractions are known as, unlike denominators.&nbsp;<\/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\/2024\/01\/fractions-with-unlike-denominators.png\" alt=\"Fractions with Unlike Denominators\" class=\"wp-image-36855\" title=\"Fractions with Unlike Denominators\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/fractions-with-unlike-denominators.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/fractions-with-unlike-denominators-300x181.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In the figure above, both fractions have different or unlike denominators.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">It is challenging to compare and perform operations like addition and subtraction of fractions with unlike denominators. Hence, to compare and order, or to add and subtract unlike fractions, we first convert these fractions to like fractions, i.e., fractions with the same denominators.<\/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\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-decimal-fractions-to-write-decimal-number.jpeg\" alt=\"Add Decimal Fractions to Write Decimal Number Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-area-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\/add-fractions-using-area-models.jpeg\" alt=\"Add Fractions using Area 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-fraction-models\" data-vars-ga-category=\"splashlearn_vocab\" 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src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-fractions-using-visual-models.jpeg\" alt=\"Add Fractions Using Visual 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-like-fractions-using-area-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\/add-like-fractions-using-area-models.jpeg\" alt=\"Add Like Fractions using Area 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-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\/add-mixed-numbers-and-fractions-using-area-models.jpeg\" alt=\"Add Mixed Numbers and Fractions using Area 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" 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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 = 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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-how-to-convert-unlike-denominators-to-like-denominators\">How to Convert Unlike Denominators to Like Denominators?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">When two or more fractions have different denominators, we can convert them into like fractions by finding the common denominator. Let\u2019s explore more by considering the following example.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Take the fractions $\\frac{3}{4}$ and $\\frac{5}{7}$. Both fractions have different denominators. To find their common denominators, we find the common multiples of the denominators 4 and 7.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiples of 4: 4, 8, 12, 16, 20, 24, <strong>28<\/strong>, 32, 36, 40, . . .<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiples of 7: 7, 14, 21, <strong>28<\/strong>, 35, 42, 49, 56, 63, 70, . . .<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The least common multiple of 4 and 7 is 28.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If we want the fractions to have a common denominator 28, we must find the equivalent fraction of $\\frac{3}{4}$ and $\\frac{5}{7}$, which has 28 as the denominator.&nbsp;<\/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\/2024\/01\/convert-unlike-fractions-to-like-fractions.png\" alt=\"Convert Unlike Fractions to Like Fractions\" class=\"wp-image-36856\" title=\"Convert Unlike Fractions to Like Fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/convert-unlike-fractions-to-like-fractions.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/convert-unlike-fractions-to-like-fractions-300x240.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">So, now that we know what like and unlike denominators are, how do we apply them in fraction problems? We can easily compare, add or subtract two or more fractions when their denominators are common or like. Let\u2019s now figure out how we can do this.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-how-to-compare-fractions-with-unlike-denominators\">How to Compare Fractions with Unlike Denominators?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">When the fractions have like or the same numerators but different denominators, like $\\frac{3}{4}$ and $\\frac{3}{7}$. We can now compare $\\frac{3}{4}$ and $\\frac{3}{7}$ by comparing the size of each piece. Since fourths are larger than sevenths, $\\frac{3}{4}$ is greater than $\\frac{3}{7}$ .&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\/2024\/01\/compare-fractions-using-bar-model.png\" alt=\"Compare Fractions Using Bar Model\" class=\"wp-image-36857\" title=\"Compare Fractions Using Bar Model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/compare-fractions-using-bar-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/compare-fractions-using-bar-model-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">To compare two or more unlike fractions with the same or like numerators, we have to compare their denominators. The fraction with the smallest denominator is the greatest.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When the fractions are unlike with different numerators, we have to find the common denominator before we can compare. For example, let us compare $\\frac{5}{6}$ and $\\frac{2}{3}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Look at the two denominators (6 and 3). It is much easier to find a common denominator (6) than to find a common numerator. So, find a fraction equivalent to $\\frac{2}{3}$ with 6 as a denominator $(\\frac{2}{3} \\times \\frac{2}{2} = \\frac{4}{6} )$.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"373\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/compare-like-fractions-using-bar-model.png\" alt=\"Compare Like Fractions Using Bar Model\" class=\"wp-image-36858\" title=\"Compare Like Fractions Using Bar Model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/compare-like-fractions-using-bar-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/compare-like-fractions-using-bar-model-300x180.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">To compare two or more like fractions (with the same or like denominators), we have to compare their numerators. The fraction with the smallest numerator is the smallest.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When we compare fractions $\\frac{4}{11}$ and $\\frac{7}{11}$, we take a look at the numerators. Since 7 is more than 4,&nbsp; $\\frac{4}{11}\\lt\\frac{7}{17}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-how-to-add-and-subtract-fractions-with-unlike-denominators\">How to Add and Subtract Fractions with Unlike Denominators?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Adding and subtracting fractions with unlike denominators can be done by converting them to like fractions. Let\u2019s understand more with an example: $\\frac{1}{4} + \\frac{2}{3}$. Here, we are adding fractions with unlike denominators 4 and 3. To add them, we can find the common denominator. Since the LCM of 4 and 3 is 12, the common denominator is 12.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{1}{4} + \\frac{2}{3} = \\frac{1 \\times 3}{4 \\times 3} + \\frac{2 \\times 4}{3 \\times 4} = \\frac{3}{12} + \\frac{8}{12} = \\frac{11}{12}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Similarly, to subtract two unlike fractions, we can convert them to like fractions and subtract the numerators. For instance, let\u2019s subtract 19 from 27. Convert these to like fractions by finding the common denominator. Since the LCM of 7 and 9 is 63, the common denominator is 63.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{2}{7} \u2013 \\frac{1}{9} = \\frac{2 \\times 9}{7 \\times 9} \u2014 \\frac{1 \\times 7}{9 \\times 7} = \\frac{18}{63}-\\frac{7}{63} = \\frac{11}{63}$&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Arrange <\/strong>$\\frac{5}{11},\\frac{5}{7},\\frac{5}{17}$<strong> and <\/strong>$\\frac{5}{13}$<strong> in the descending order.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The given fractions have different denominators but have the same numerators. In such a case, the fraction with the highest denominator is the smallest.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since $7 \\lt 11 \\lt 13 \\lt 17$,&nbsp; $\\frac{5}{7}\\gt\\frac{5}{11}\\gt\\frac{5}{13}\\gt\\frac{5}{17}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Candy read <\/strong>$\\frac{4}{7}$<strong> of the book on Monday and <\/strong>$\\frac{2}{3}$<strong> of the book on Tuesday. On which day did she read more and by how much?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Fraction of book read on Monday $= \\frac{4}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Fraction of book read on Tuesday $= \\frac{2}{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since the fractions are unlike, we can convert them to like fractions to compare. To convert, let\u2019s find the common denominator, which is the LCM of 7 and 3.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">LCM of 7 and 3 is 21,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{4\\times3}{7\\times3}=\\frac{12}{21}$<strong> and<\/strong> $\\frac{2\\times7}{3\\times7}=\\frac{14}{21}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since the numerator 12 is less than 14, $\\frac{12}{21} \\lt \\frac{14}{21}$<strong>.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, $\\frac{4}{7} \\lt \\frac{2}{3}$<strong>, <\/strong>and she read more on Tuesday.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Difference $= \\frac{14}{21}-\\frac{12}{21}=\\frac{14-12}{21}=\\frac{2}{21}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Add: <\/strong>$\\frac{2}{3}+\\frac{2}{5}+\\frac{3}{4}$<strong>.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">LCM (3, 5 and 4) = 60<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{2 \\times 20}{3 \\times 20}=\\frac{40}{60};\\frac{2 \\times 12}{5 \\times 12}=\\frac{24}{60};\\frac{3 \\times 15}{4 \\times 15}=\\frac{45}{60}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{2}{3}+\\frac{2}{5}+\\frac{3}{4} = \\frac{40}{60}+\\frac{24}{60}+\\frac{45}{60}=\\frac{109}{60}=1\\frac{49}{60}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. Does the fraction of the shaded part in the following figures have like or unlike denominators?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"580\" height=\"131\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/visual-representation-of-fractions-with-like-denominators.png\" alt=\"Visual Representation of Fractions with Like Denominators\" class=\"wp-image-36861\" title=\"Visual Representation of Fractions with Like Denominators\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/visual-representation-of-fractions-with-like-denominators.png 580w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/visual-representation-of-fractions-with-like-denominators-300x68.png 300w\" sizes=\"auto, (max-width: 580px) 100vw, 580px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The fraction of the shaded parts in the given figure are $\\frac{2}{8}, \\frac{3}{8}, \\frac{6}{8}, \\frac{7}{8}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The denominators of the fractions are the same, i.e., 8, so the fractions have like denominators.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Unlike Denominators<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following is a pair of unlike fractions?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{2}{5}$ and $\\frac{4}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{1}{3}$ and $\\frac{6}{7}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{1}{6}$ and $\\frac{4}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{1}{9}$ and $\\frac{7}{9}$<\/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: $\\frac{1}{3}$ and $\\frac{6}{7}$<br\/>Unlike fractions are the fractions with different denominators. $\\frac{1}{3}$ and $\\frac{6}{7}$ have different denominators and are unlike fractions.<\/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\">Choose the correct symbol to make the statement true.<br> $\\frac{2}{7}$ ____ $\\frac{3}{5}$<\/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 two denominators (7 and 5). Let\u2019s make the denominator the same or like by finding the common denominator, which is 35.<br>\r\n$\\frac{2 \\times 5}{7 \\times 5}=\\frac{10}{35};\\frac{3 \\times 7}{5 \\times 7}=\\frac{21}{35}$. Now compare the fraction $\\frac{10}{35}$ and $\\frac{21}{35}$ .<br>\r\nSince  $\\frac{10}{35}\\lt\\frac{21}{35}, \\frac{2}{7} \\lt \\frac{3}{5}$<\/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\">Choose the correct symbol to make the statement true.<br>$\\frac{2}{7} + \\frac{5}{7}$ ____ $\\frac{8}{5} - \\frac{4}{5}$ <\/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: $\\gt$<br\/>$\\frac{2}{7} + \\frac{5}{7}  = \\frac{7}{7}  = 1$<br>\r\n$\\frac{8}{5} - \\frac{4}{5} = \\frac{4}{5}$<br>  \r\nSince $1 \\gt \\frac{4}{5}, \\frac{2}{7} + \\frac{5}{7}  \\gt \\frac{8}{5} - \\frac{4}{5}$ <\/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\">Samaira spends $\\frac{7}{10}$ of her pocket money on a book, what fraction of her pocket money is left with her?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{3}{10}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{1}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{3}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{2}{9}$<\/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: $\\frac{3}{10}$<br\/>Fraction of pocket money left $=  1-\\frac{7}{10} = \\frac{10}{10} - \\frac{7}{10} = \\frac{3}{10}$<\/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        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Unlike Denominators\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Unlike Denominators\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is a pair of unlike fractions?\",\n                    \"text\": \"Which of the following is a pair of unlike fractions?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Unlike fractions are the fractions with different denominators. $$\\\\frac{1}{3}$$ and $$\\\\frac{6}{7}$$ have different denominators and are unlike fractions.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{2}{5}$$ and $$\\\\frac{4}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Unlike fractions are the fractions with different denominators. $$\\\\frac{1}{3}$$ and $$\\\\frac{6}{7}$$ have different denominators and are unlike fractions.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{6}$$ and $$\\\\frac{4}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Unlike fractions are the fractions with different denominators. $$\\\\frac{1}{3}$$ and $$\\\\frac{6}{7}$$ have different denominators and are unlike fractions.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{9}$$ and $$\\\\frac{7}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Unlike fractions are the fractions with different denominators. $$\\\\frac{1}{3}$$ and $$\\\\frac{6}{7}$$ have different denominators and are unlike fractions.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{3}$$ and $$\\\\frac{6}{7}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Unlike fractions are the fractions with different denominators. $$\\\\frac{1}{3}$$ and $$\\\\frac{6}{7}$$ have different denominators and are unlike fractions.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Unlike fractions are the fractions with different denominators. $$\\\\frac{1}{3}$$ and $$\\\\frac{6}{7}$$ have different denominators and are unlike 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> $$\\\\frac{2}{7}$$ ____ $$\\\\frac{3}{5}$$\",\n                    \"text\": \"Choose the correct symbol to make the statement true.<br> $$\\\\frac{2}{7}$$ ____ $$\\\\frac{3}{5}$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Look at the two denominators (7 and 5). Let\u2019s make the denominator the same or like by finding the common denominator, which is 35.<br>\r\n$$\\\\frac{2 \\\\times 5}{7 \\\\times 5}=\\\\frac{10}{35};\\\\frac{3 \\\\times 7}{5 \\\\times 7}=\\\\frac{21}{35}$$. Now compare the fraction $$\\\\frac{10}{35}$$ and $$\\\\frac{21}{35}$$ .<br>\r\nSince  $$\\\\frac{10}{35}\\\\lt\\\\frac{21}{35}, \\\\frac{2}{7} \\\\lt \\\\frac{3}{5}$$\"\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 two denominators (7 and 5). Let\u2019s make the denominator the same or like by finding the common denominator, which is 35.<br>\r\n$$\\\\frac{2 \\\\times 5}{7 \\\\times 5}=\\\\frac{10}{35};\\\\frac{3 \\\\times 7}{5 \\\\times 7}=\\\\frac{21}{35}$$. Now compare the fraction $$\\\\frac{10}{35}$$ and $$\\\\frac{21}{35}$$ .<br>\r\nSince  $$\\\\frac{10}{35}\\\\lt\\\\frac{21}{35}, \\\\frac{2}{7} \\\\lt \\\\frac{3}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$=$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Look at the two denominators (7 and 5). Let\u2019s make the denominator the same or like by finding the common denominator, which is 35.<br>\r\n$$\\\\frac{2 \\\\times 5}{7 \\\\times 5}=\\\\frac{10}{35};\\\\frac{3 \\\\times 7}{5 \\\\times 7}=\\\\frac{21}{35}$$. Now compare the fraction $$\\\\frac{10}{35}$$ and $$\\\\frac{21}{35}$$ .<br>\r\nSince  $$\\\\frac{10}{35}\\\\lt\\\\frac{21}{35}, \\\\frac{2}{7} \\\\lt \\\\frac{3}{5}$$\"\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 two denominators (7 and 5). Let\u2019s make the denominator the same or like by finding the common denominator, which is 35.<br>\r\n$$\\\\frac{2 \\\\times 5}{7 \\\\times 5}=\\\\frac{10}{35};\\\\frac{3 \\\\times 7}{5 \\\\times 7}=\\\\frac{21}{35}$$. Now compare the fraction $$\\\\frac{10}{35}$$ and $$\\\\frac{21}{35}$$ .<br>\r\nSince  $$\\\\frac{10}{35}\\\\lt\\\\frac{21}{35}, \\\\frac{2}{7} \\\\lt \\\\frac{3}{5}$$\"\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 two denominators (7 and 5). Let\u2019s make the denominator the same or like by finding the common denominator, which is 35.<br>\r\n$$\\\\frac{2 \\\\times 5}{7 \\\\times 5}=\\\\frac{10}{35};\\\\frac{3 \\\\times 7}{5 \\\\times 7}=\\\\frac{21}{35}$$. Now compare the fraction $$\\\\frac{10}{35}$$ and $$\\\\frac{21}{35}$$ .<br>\r\nSince  $$\\\\frac{10}{35}\\\\lt\\\\frac{21}{35}, \\\\frac{2}{7} \\\\lt \\\\frac{3}{5}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Look at the two denominators (7 and 5). Let\u2019s make the denominator the same or like by finding the common denominator, which is 35.<br>\r\n$$\\\\frac{2 \\\\times 5}{7 \\\\times 5}=\\\\frac{10}{35};\\\\frac{3 \\\\times 7}{5 \\\\times 7}=\\\\frac{21}{35}$$. Now compare the fraction $$\\\\frac{10}{35}$$ and $$\\\\frac{21}{35}$$ .<br>\r\nSince  $$\\\\frac{10}{35}\\\\lt\\\\frac{21}{35}, \\\\frac{2}{7} \\\\lt \\\\frac{3}{5}$$\"\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>$$\\\\frac{2}{7} + \\\\frac{5}{7}$$ ____ $$\\\\frac{8}{5} - \\\\frac{4}{5}$$ \",\n                    \"text\": \"Choose the correct symbol to make the statement true.<br>$$\\\\frac{2}{7} + \\\\frac{5}{7}$$ ____ $$\\\\frac{8}{5} - \\\\frac{4}{5}$$ \",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\frac{2}{7} + \\\\frac{5}{7}  = \\\\frac{7}{7}  = 1$$<br>\r\n$$\\\\frac{8}{5} - \\\\frac{4}{5} = \\\\frac{4}{5}$$<br>  \r\nSince $$1 \\\\gt \\\\frac{4}{5}, \\\\frac{2}{7} + \\\\frac{5}{7}  \\\\gt \\\\frac{8}{5} - \\\\frac{4}{5}$$ \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\lt$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{2}{7} + \\\\frac{5}{7}  = \\\\frac{7}{7}  = 1$$<br>\r\n$$\\\\frac{8}{5} - \\\\frac{4}{5} = \\\\frac{4}{5}$$<br>  \r\nSince $$1 \\\\gt \\\\frac{4}{5}, \\\\frac{2}{7} + \\\\frac{5}{7}  \\\\gt \\\\frac{8}{5} - \\\\frac{4}{5}$$ \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$=$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{2}{7} + \\\\frac{5}{7}  = \\\\frac{7}{7}  = 1$$<br>\r\n$$\\\\frac{8}{5} - \\\\frac{4}{5} = \\\\frac{4}{5}$$<br>  \r\nSince $$1 \\\\gt \\\\frac{4}{5}, \\\\frac{2}{7} + \\\\frac{5}{7}  \\\\gt \\\\frac{8}{5} - \\\\frac{4}{5}$$ \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{2}{7} + \\\\frac{5}{7}  = \\\\frac{7}{7}  = 1$$<br>\r\n$$\\\\frac{8}{5} - \\\\frac{4}{5} = \\\\frac{4}{5}$$<br>  \r\nSince $$1 \\\\gt \\\\frac{4}{5}, \\\\frac{2}{7} + \\\\frac{5}{7}  \\\\gt \\\\frac{8}{5} - \\\\frac{4}{5}$$ \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\gt$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\frac{2}{7} + \\\\frac{5}{7}  = \\\\frac{7}{7}  = 1$$<br>\r\n$$\\\\frac{8}{5} - \\\\frac{4}{5} = \\\\frac{4}{5}$$<br>  \r\nSince $$1 \\\\gt \\\\frac{4}{5}, \\\\frac{2}{7} + \\\\frac{5}{7}  \\\\gt \\\\frac{8}{5} - \\\\frac{4}{5}$$ \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\frac{2}{7} + \\\\frac{5}{7}  = \\\\frac{7}{7}  = 1$$<br>\r\n$$\\\\frac{8}{5} - \\\\frac{4}{5} = \\\\frac{4}{5}$$<br>  \r\nSince $$1 \\\\gt \\\\frac{4}{5}, \\\\frac{2}{7} + \\\\frac{5}{7}  \\\\gt \\\\frac{8}{5} - \\\\frac{4}{5}$$ \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Samaira spends $$\\\\frac{7}{10}$$ of her pocket money on a book, what fraction of her pocket money is left with her?\",\n                    \"text\": \"Samaira spends $$\\\\frac{7}{10}$$ of her pocket money on a book, what fraction of her pocket money is left with her?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Fraction of pocket money left $$=  1-\\\\frac{7}{10} = \\\\frac{10}{10} - \\\\frac{7}{10} = \\\\frac{3}{10}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Fraction of pocket money left $$=  1-\\\\frac{7}{10} = \\\\frac{10}{10} - \\\\frac{7}{10} = \\\\frac{3}{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Fraction of pocket money left $$=  1-\\\\frac{7}{10} = \\\\frac{10}{10} - \\\\frac{7}{10} = \\\\frac{3}{10}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{2}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Fraction of pocket money left $$=  1-\\\\frac{7}{10} = \\\\frac{10}{10} - \\\\frac{7}{10} = \\\\frac{3}{10}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{3}{10}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Fraction of pocket money left $$=  1-\\\\frac{7}{10} = \\\\frac{10}{10} - \\\\frac{7}{10} = \\\\frac{3}{10}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Fraction of pocket money left $$=  1-\\\\frac{7}{10} = \\\\frac{10}{10} - \\\\frac{7}{10} = \\\\frac{3}{10}$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-c5e18ac4-24b3-41e3-8a06-54ba1771b1c7\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n\n<div style=\"border-color:#f1f1f1\" class=\"wp-block-ub-content-toggle-panel wp-block-ub-content-toggle-accordion\"><div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color:#f1f1f1\"><span class=\"wp-block-ub-content-toggle-accordion-title\" style=\"color:#000000\"><strong>What is the difference between unlike numerators and unlike denominators?<\/strong><\/span><span class=\"wp-block-ub-content-toggle-accordion-state-indicator dashicons dashicons-arrow-right-alt2 \"><\/span><\/div><div style=\"height:0;padding-top:0;padding-bottom:0\" class=\"wp-block-ub-content-toggle-accordion-content-wrap\">\n<p class=\"eplus-wrapper\">When two or more fractions have different numerators, then the numerators are said to be unlike numerators. For example: In the fractions $\\frac{5}{9}$ and $\\frac{8}{9}$, the numerators are different. On the other hand, when two or more fractions have different denominators, then the denominators are said to be unlike denominators. For example: In the fractions $\\frac{5}{8}$ and $\\frac{5}{9}$, the denominators are different.<\/p>\n<\/div><\/div>\n\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-c5e18ac4-24b3-41e3-8a06-54ba1771b1c7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c5e18ac4-24b3-41e3-8a06-54ba1771b1c7\"><strong>How are like or same denominators different from unlike denominators?<\/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-c5e18ac4-24b3-41e3-8a06-54ba1771b1c7\">\n\n<p class=\"eplus-wrapper\">When two or more fractions have the same denominators, then the denominators are said to be like. For example, $\\frac{2}{7}$ and $\\frac{6}{7}$ have the same denominators, i.e., 7. When two or more fractions have different denominators, then the denominators are said to be unlike denominators. For example, in the fractions $\\frac{5}{8}$ and $\\frac{5}{9}$, the denominators are different. Fractions with like denominators are called like fractions, and fractions with different denominators are called unlike fractions.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-c5e18ac4-24b3-41e3-8a06-54ba1771b1c7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c5e18ac4-24b3-41e3-8a06-54ba1771b1c7\"><strong>Can fractions with different denominators have the same 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-2-c5e18ac4-24b3-41e3-8a06-54ba1771b1c7\">\n\n<p class=\"eplus-wrapper\">Yes, fractions with unlike denominators can have the same numerators. For example: $\\frac{7}{11}$ and $\\frac{7}{9}$ have the same numerator but different denominators.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Is a Denominator? Fractions represent a part of the whole. When numbers are written as a fraction, it can be represented as $\\frac{p}{q}$, where p is the numerator and q is the denominator. A numerator is the part of a fraction above the fraction bar and represents the number of parts out of the &#8230; <a title=\"Unlike Denominators\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/unlike-denominators\" aria-label=\"More on Unlike Denominators\">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-1708","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\/1708","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=1708"}],"version-history":[{"count":22,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1708\/revisions"}],"predecessor-version":[{"id":36862,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1708\/revisions\/36862"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1708"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1708"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1708"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}