{"id":1339,"date":"2022-04-18T12:59:18","date_gmt":"2022-04-18T12:59:18","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1339"},"modified":"2024-02-24T16:41:30","modified_gmt":"2024-02-24T16:41:30","slug":"equivalent-fractions-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/equivalent-fractions","title":{"rendered":"Equivalent Fractions &#8211; Definition with Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-9ee89f87-4951-4cbf-8a34-1b98d92c81ba\" 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\/equivalent-fractions#0-what-are-equivalent-fractions>What are Equivalent Fractions?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/equivalent-fractions#1-definition-of-equivalent-fractions>Definition of Equivalent Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/equivalent-fractions#4-solved-examples->Solved Examples&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/equivalent-fractions#5-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/equivalent-fractions#7-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-are-equivalent-fractions\">What are Equivalent Fractions?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Fractions represent equal parts of a whole or a collection. A fraction has two parts. The number on the top of the line is called the numerator which tells how many equal parts of the whole or collection are taken.&nbsp; The number below the line is called the denominator and it shows the total number of equal parts the whole is divided into or the total number of equal parts which are there in a collection.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"327\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/equivalent-fractions.png\" alt=\"Equivalent Fractions : Numerator and Denominator\" class=\"wp-image-40748\" title=\"Equivalent Fractions : Numerator and Denominator\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/equivalent-fractions.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/equivalent-fractions-300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimal-fractions-using-equivalence\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_convert_to_equi_frac_to_add_pt.png\" alt=\"Add Decimal Fractions Using Equivalence Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimal Fractions Using Equivalence Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-fractions-using-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_unlike_models_pt.png\" alt=\"Add Fractions using Models Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Fractions using Models Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-fractions-with-the-aid-of-a-number-line\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_like_frac_sum_greater_than_1_nl_pt.png\" alt=\"Add Fractions WIth the Aid of a Number LIne Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Fractions WIth the Aid of a Number LIne Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_like_frac_sum_upto_1_pt.png\" alt=\"Add Like Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Like Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions-greater-than-1\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_find_sum_pt.png\" alt=\"Add Like Fractions Greater than 1 Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Like Fractions Greater than 1 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions-to-get-a-sum-greater-than-1\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_like_frac_sum_greater_than_1_pt.png\" alt=\"Add Like Fractions to Get a Sum Greater than 1 Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Like Fractions to Get a Sum Greater than 1 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions-using-number-lines\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_like_frac_sum_upto_1_nl_pt.png\" alt=\"Add Like Fractions using Number Lines Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Like Fractions using Number Lines Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-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 type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-definition-of-equivalent-fractions\">Definition of Equivalent Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same fraction after we simplify them.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"465\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/equivalent-fractions-.png\" alt=\"Equivalent fractions\" class=\"wp-image-40749\" title=\"Equivalent fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/equivalent-fractions-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/equivalent-fractions--300x225.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In the above image,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{1}{3}$, $\\frac{2}{6}$, $\\frac{3}{9}$ and $\\frac{4}{12}$ seem to be different but they are equivalent fractions as on simplification, we get the fraction $\\frac{1}{3}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let us consider this through an example:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"336\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/fractions-through-an-example.png\" alt=\"Fractions through an example\" class=\"wp-image-40750\" title=\"Fractions through an example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/fractions-through-an-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/fractions-through-an-example-300x163.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Ann and Eden bought a cake. They decided to share the cake. Ann had $\\frac{4}{8}$ of the cake whereas Eden had $\\frac{1}{2}$ of the cake. Did they divide the cake equally?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Yes; they did. Two fractions might look different but, upon simplification, have the same mathematical value and hence $\\frac{4}{8}$ and $\\frac{1}{2}$ are called equivalent fractions.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Consider, for example, $\\frac{5}{10}$ and $\\frac{2}{4}$ . They also seem different, but when we simplify them; they present the same value i.e, $\\frac{1}{2}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"452\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/same-mathematical-value-of-equivalent-fractions.png\" alt=\"Same mathematical value of equivalent fractions\" class=\"wp-image-40752\" title=\"Same mathematical value of equivalent fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/same-mathematical-value-of-equivalent-fractions.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/same-mathematical-value-of-equivalent-fractions-300x219.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/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\" 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-fraction-models.jpeg\" alt=\"Add Fractions Using Fraction 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-visual-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-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\" 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-models.jpeg\" alt=\"Add 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<img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/adding-fractions-using-models.jpeg\" alt=\"Adding Fractions Using Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = 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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=\"2-how-to-check-whether-the-fractions-are-equivalent-or-not\">How to Check Whether the Fractions are Equivalent or Not?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">There are different ways to check whether the fractions are equivalent or not:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Make the denominators the same<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">We can check whether the fractions are equivalent or not by making the denominators the same i.e., by finding the LCM of the denominators and then multiplying them with suitable numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: In order to check whether $\\frac{2}{8}$ and $\\frac{3}{12}$ are equivalent or not, we will find the LCM of 8 and 12.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 1: Find LCM of denominators<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;LCM(8, 12) = 24<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Step 2: Multiply by suitable numbers to make denominator the same = 24<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$\\frac{2 \\times 3}{8 \\times 3}$ = $\\frac{6}{24}$ and $\\frac{3 \\times 2}{12 \\times 2}$ = $\\frac{6}{24}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since both the fractions came out to be $\\frac{6}{24}$, so they are equivalent fractions.&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Finding the decimal form for both the fractions.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">Decimal form of $\\frac{2}{8}$ is 0.25.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Decimal form of $\\frac{3}{12}$ is 0.25.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since, the decimal form of both the fractions is 0.25, so they are equivalent fractions.&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Cross multiplication method<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">We will multiply the fractions. If the product comes out to be the same, the fractions are equivalent.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;2 $\\times$ 12 = 24 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 8 $\\times$ 3 = 24<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since both the products are same, the fractions are equivalent.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Visual Method<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">We can determine the equivalent fractions on identical shapes and check whether the shaded portions are equal or not.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"400\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/visual-method-equivalent-fractions-on-identical-shapes.png\" alt=\"Visual Method : Equivalent fractions on identical shapes\" class=\"wp-image-40753\" title=\"Visual Method : Equivalent fractions on identical shapes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/visual-method-equivalent-fractions-on-identical-shapes.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/visual-method-equivalent-fractions-on-identical-shapes-300x194.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In the above image, we see the shaded portions of both the circles depicts the same value. So, they are equivalent fractions.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-finding-an-equivalent-fraction\">Finding an Equivalent Fraction<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">To find equivalent fractions, we multiply or divide both the numerator and the denominator by the same number. There are two ways in which we can make equivalent fractions:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Multiply the numerator and denominator by the same number<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">We can multiply the numerator and the denominator by the same number in order to find the equivalent fractions.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: We have to find two equivalent fractions for $\\frac{3}{8}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiplying the numerator and denominator by 2.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{3 \\times 2}{8 \\times 2}$ = $\\frac{6}{16}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiplying the numerator and denominator by 3.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{3 \\times 3}{8 \\times 3}$ = $\\frac{9}{24}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The two equivalent fractions for $\\frac{3}{8}$ are $\\frac{6}{16}$ and $\\frac{9}{24}$.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"446\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/finding-two-equivalent-fractions.png\" alt=\"Finding two equivalent fractions\" class=\"wp-image-40755\" title=\"Finding two equivalent fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/finding-two-equivalent-fractions.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/finding-two-equivalent-fractions-300x216.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Divide the numerator and denominator by the same number.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">We can divide the numerator and the denominator by the same number in order to find equivalent fractions.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example: To find equivalent fractions for $\\frac{70}{100}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">First find the common factors of 70 and 100.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The common factors of 70 and 100 are 2, 5 and 10.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiplying the numerator and denominator by 2.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{70 \\div 2}{100 \\div 2}$ = $\\frac{35}{50}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiplying the numerator and denominator by 5.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{70 \\div 5}{100 \\div 5}$ = $\\frac{14}{20}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiplying the numerator and denominator by 10.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{70 \\div 10}{100 \\div 10}$ = $\\frac{7}{10}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The equivalent fractions for $\\frac{70}{100}$ are $\\frac{35}{50}$ , $\\frac{14}{20}$, and $\\frac{7}{10}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"498\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/two-equivalent-fractions.png\" alt=\"Two equivalent fractions for 35\/50, 14\/20  and 7\/10.\" class=\"wp-image-40756\" title=\"Two equivalent fractions for 35\/50, 14\/20  and 7\/10.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/two-equivalent-fractions.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/two-equivalent-fractions-300x241.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-solved-examples-\">Solved Examples&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">1. Check if $\\frac{3}{9}$, $\\frac{4}{12}$ and $\\frac{5}{15}$ are equivalent fractions.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Upon simplifying $\\frac{3}{9}$, we get $\\frac{1}{3}$. Similarly, upon simplifying $\\frac{4}{12}$, we get $\\frac{1}{3}$. And, upon simplifying $\\frac{5}{15}$ we again get the same value, $\\frac{1}{3}$. As we get the same values after the simplification, these are equivalent fractions.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">2. What will be the value of x if $\\frac{2}{3}$ = $\\frac{x}{12}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since $\\frac{2}{3}$ = $\\frac{x}{12}$, it means we have multiplied the denominator by 4. So, we will multiply the numerator also by 4.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x = 2 $\\times$ 4 = 8<\/p>\n\n\n\n<p class=\"eplus-wrapper\">3. Find three equivalent fractions for $\\frac{2}{3}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiplying both numerator and denominator by 2, we get $\\frac{2 \\times 2}{3 \\times 2}$ = $\\frac{4}{6}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiplying both numerator and denominator by 3, we get $\\frac{2 \\times 3}{3 \\times 3}$ = $\\frac{6}{9}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiplying both numerator and denominator by 4, we get $\\frac{2 \\times 4}{3 \\times 4}$ = $\\frac{8}{12}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The three equivalent fractions for $\\frac{2}{3}$<strong> <\/strong>are $\\frac{4}{6}$, $\\frac{6}{9}$ and $\\frac{8}{12}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Equivalent Fractions<\/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\">$\\frac{12}{16}$ is an equivalent fraction of<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{3}{4}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{4}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{3}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{5}{3}$<\/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\/>On dividing both numerator and denominator of $\\frac{12}{16}$ by 4, we get $\\frac{3}{4}$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What should be multiplied to the numerator and denominator of $\\frac{2}{5}$ to make it equivalent to $\\frac{8}{20}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2<\/div><div class=\"spq_answer_block\" data-value=\"1\">3<\/div><div class=\"spq_answer_block\" data-value=\"2\">4<\/div><div class=\"spq_answer_block\" data-value=\"3\">5<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 4<br\/>2 $\\times$ 4 = 8 and 5 $\\times$ 4 = 20, so both numerator and denominator should be multiplied by 4.<\/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\">Find equivalent fraction to $\\frac{2}{3}$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{40}{70}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{60}{90}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{20}{70}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{25}{30}$<\/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: $\\frac{60}{90}$<br\/>On dividing both numerator and denominator of $\\frac{60}{90}$ by 20, we get the fraction $\\frac{2}{3}$.<\/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\": 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$$\\\\frac{8}{20}$$?\",\n                    \"text\": \"What should be multiplied to the numerator and denominator of $$\\\\frac{2}{5}$$ to make it equivalent to $$\\\\frac{8}{20}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"2 $$\\\\times$$ 4 = 8 and 5 $$\\\\times$$ 4 = 20, so both numerator and denominator should be multiplied by 4.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"2 $$\\\\times$$ 4 = 8 and 5 $$\\\\times$$ 4 = 20, so both numerator and denominator should be multiplied by 4.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"2 $$\\\\times$$ 4 = 8 and 5 $$\\\\times$$ 4 = 20, so both numerator and denominator should be multiplied by 4.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"2 $$\\\\times$$ 4 = 8 and 5 $$\\\\times$$ 4 = 20, so both numerator and denominator should be multiplied by 4.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"2 $$\\\\times$$ 4 = 8 and 5 $$\\\\times$$ 4 = 20, so both numerator and denominator should be multiplied by 4.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"2 $$\\\\times$$ 4 = 8 and 5 $$\\\\times$$ 4 = 20, so both numerator and denominator should be multiplied by 4.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find equivalent fraction to $$\\\\frac{2}{3}$$\",\n                    \"text\": \"Find equivalent fraction to $$\\\\frac{2}{3}$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"On dividing both numerator and denominator of $$\\\\frac{60}{90}$$ by 20, we get the fraction $$\\\\frac{2}{3}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{40}{70}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On dividing both numerator and denominator of $$\\\\frac{60}{90}$$ by 20, we get the fraction $$\\\\frac{2}{3}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{20}{70}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On dividing both numerator and denominator of $$\\\\frac{60}{90}$$ by 20, we get the fraction $$\\\\frac{2}{3}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{25}{30}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On dividing both numerator and denominator of $$\\\\frac{60}{90}$$ by 20, we get the fraction $$\\\\frac{2}{3}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{60}{90}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"On dividing both numerator and denominator of $$\\\\frac{60}{90}$$ by 20, we get the fraction $$\\\\frac{2}{3}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"On dividing both numerator and denominator of $$\\\\frac{60}{90}$$ by 20, we get the fraction $$\\\\frac{2}{3}$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Equivalent fractions have different face values, but upon simplifying them, they give the same numerical values. You can find these fractions by multiplying the denominator and numerator with the same number\/value. Head to <a href=\"https:\/\/www.splashlearn.com\/\">SplashLearn<\/a> to learn about the equivalent fractions in a fun and easy way.<\/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-7593469f-51a5-40ab-9dd3-7373fde11796\" 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-0-7593469f-51a5-40ab-9dd3-7373fde11796\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7593469f-51a5-40ab-9dd3-7373fde11796\"><strong>How to figure out whether fractions are equivalent or not?<\/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-0-7593469f-51a5-40ab-9dd3-7373fde11796\">\n\n<p>To determine whether fractions are equivalent or not, simplify the fractions to their lowest terms. If after simplification the fractions are the same, then they are equivalent if not then they are not equivalent.<\/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-1-7593469f-51a5-40ab-9dd3-7373fde11796\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7593469f-51a5-40ab-9dd3-7373fde11796\"><strong>How to find equivalent fractions to a given fraction?<\/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-1-7593469f-51a5-40ab-9dd3-7373fde11796\">\n\n<p>We can either multiply or divide both the numerator and the denominator of the given fraction by the same number to generate equivalent fractions to the given fraction.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-7593469f-51a5-40ab-9dd3-7373fde11796\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7593469f-51a5-40ab-9dd3-7373fde11796\"><strong>Why are equivalent fractions important?<\/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-2-7593469f-51a5-40ab-9dd3-7373fde11796\">\n\n<p>Equivalent fractions help us in adding, subtracting, multiplying, dividing fractions, and also in comparing and ordering fractions which helps us solve many real-time problems.&nbsp;<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What are Equivalent Fractions? Fractions represent equal parts of a whole or a collection. A fraction has two parts. The number on the top of the line is called the numerator which tells how many equal parts of the whole or collection are taken.&nbsp; The number below the line is called the denominator and it &#8230; <a title=\"Equivalent Fractions &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/equivalent-fractions\" aria-label=\"More on Equivalent Fractions &#8211; Definition with Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1339","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\/1339","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=1339"}],"version-history":[{"count":16,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1339\/revisions"}],"predecessor-version":[{"id":40757,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1339\/revisions\/40757"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1339"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1339"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1339"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}