{"id":25574,"date":"2023-02-28T05:07:00","date_gmt":"2023-02-28T05:07:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=25574"},"modified":"2024-03-14T08:02:03","modified_gmt":"2024-03-14T08:02:03","slug":"equivalent-ratios-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/equivalent-ratios","title":{"rendered":"Equivalent Ratios &#8211; Definition with Examples"},"content":{"rendered":"<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-0b16994e-e0d4-4833-ba16-568e7ef43251\" 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\/equivalent-ratios#0-what-are-equivalent-ratios>What Are Equivalent Ratios?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/equivalent-ratios#3-what-is-the-standard-form-of-ratio->What Is the Standard Form of Ratio?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/equivalent-ratios#4-how-to-identify-equivalent-ratios>How to Identify Equivalent Ratios<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/equivalent-ratios#9-visual-representation-of-equivalent-ratios>Visual Representation of Equivalent Ratios<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/equivalent-ratios#12-solved-examples-on-equivalent-ratios->Solved Examples On Equivalent Ratios<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/equivalent-ratios#13-practice-problems-on-equivalent-ratios>Practice Problems On Equivalent Ratios<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/equivalent-ratios#14-frequently-asked-questions-on-equivalent-ratios>Frequently Asked Questions On Equivalent Ratios<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-are-equivalent-ratios\">What Are Equivalent Ratios?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Two ratios that turn out to be the same in comparison are known as equivalent ratios. In order to check whether the given ratios are equivalent or not, we will have to simplify them or reduce them to their simplest form.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example: <\/strong>Consider the ratios as 1:2, 2:4. 3:6.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If you reduce 3:6 to its&nbsp; simplest form, you get 1:2.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If you reduce 2:4 to its simplest form, you get 1:2.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, these are equivalent ratios.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"339\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/equivalent-ratios-visual.png\" alt=\"Equivalent ratios visual\" class=\"wp-image-40919\" title=\"Equivalent ratios visual\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/equivalent-ratios-visual.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/equivalent-ratios-visual-300x164.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\/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\/choose-the-equivalent-fraction\" 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_correct_exp_2_pt.png\" alt=\"Choose the Equivalent Fraction Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Equivalent Fraction Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-equivalent-value-based-on-place-value\" 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\/place_value_relate_value_diff_places_pt.png\" alt=\"Choose the Equivalent Value Based on Place Value Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Equivalent Value Based on Place Value Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-fraction-equivalent-of-the-mixed-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_select_equi_exp_pt.png\" alt=\"Choose the Fraction Equivalent of the Mixed Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Fraction Equivalent of the Mixed Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-equivalent-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_generate_equi_fraction_pt.png\" alt=\"Complete Equivalent 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\">Complete Equivalent 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\/complete-the-equivalent-fact\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_complete_equi_fact_pt.png\" alt=\"Complete the Equivalent Fact Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Equivalent Fact Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-equivalent-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_generate_equi_pt.png\" alt=\"Complete the Equivalent 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\">Complete the Equivalent 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\/divide-and-complete-the-equivalent-fraction\" 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_divide_and_generate_equiv_pt.png\" alt=\"Divide and Complete the Equivalent Fraction 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\">Divide and Complete the Equivalent Fraction 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\/fill-in-the-number-that-makes-tenths-and-hundredths-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\/decimals_find_equi_frac_pt.png\" alt=\"Fill in the Number That Makes Tenths and Hundredths 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\">Fill in the Number That Makes Tenths and Hundredths 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\/fill-in-to-complete-the-equivalent-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_fill_missing_num_mixed_to_frac_pt.png\" alt=\"Fill in to Complete the Equivalent 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\">Fill in to Complete the Equivalent 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                    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         }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-what-is-a-ratio\">What Is a Ratio?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Ratio is defined as the quantitative relation or comparison between two different quantities of the same kind and same unit. In mathematics, the symbol \u201c:\u201d is used to express ratio, where a ratio is anything that compares two quantities of the same kind.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Ratio of a to $b = a : b =&nbsp;\\frac{a}{b}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The first quantity of the ratio is called antecedent, whereas the second quantity of the ratio is called consequent. In the above example, 1 is the antecedent and 3 is the consequent.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"292\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/antecedent-and-consequent-in-a-ratio.png\" alt=\"Antecedent and consequent in a ratio\" class=\"wp-image-40920\" title=\"Antecedent and consequent in a ratio\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/antecedent-and-consequent-in-a-ratio.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/antecedent-and-consequent-in-a-ratio-300x141.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">So, what are equivalent ratios? Let\u2019s see an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:<\/strong> The ratio of the number of oranges to the number of apples in the fruit basket is 2:3 or $\\frac{2}{3}$. Can you guess how many apples and oranges are there in the basket?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here\u2019s the interesting part! Note that this does not mean that there are 2 oranges and 3 apples in the basket. It means that the number of oranges will be some multiple of 2 and the number of apples will be the multiple of 3 with respect to the same number.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">What are the possibilities then?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/a-visual-example-of-equivalent-ratios-using-oranges-and-apples.png\" alt=\"A visual example of equivalent ratios using oranges and apples\" class=\"wp-image-40921\" title=\"A visual example of equivalent ratios using oranges and apples\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/a-visual-example-of-equivalent-ratios-using-oranges-and-apples.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/a-visual-example-of-equivalent-ratios-using-oranges-and-apples-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">And so on, of course.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, the ratios 2:3, 4:6, 6:9 are equivalent ratios since they ultimately get reduced to the same value, 2:3.<\/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\/circle-equivalent-fractions\" 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\/circle-equivalent-fractions.jpeg\" alt=\"Circle Equivalent Fractions Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-equivalent-decimals\" 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\/complete-the-equivalent-decimals.jpeg\" alt=\"Complete the Equivalent Decimals 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\/create-equivalent-fractions-by-decomposing\" 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\/create-equivalent-fractions-by-decomposing.jpeg\" alt=\"Create Equivalent Fractions by Decomposing 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\/create-equivalent-fractions-using-area-model\" 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\/create-equivalent-fractions-using-area-model.jpeg\" alt=\"Create Equivalent Fractions using Area Model 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\/create-equivalent-fractions-using-division\" 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\/create-equivalent-fractions-using-division.jpeg\" alt=\"Create Equivalent Fractions using Division 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\/create-equivalent-fractions-using-multiplication\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/create-equivalent-fractions-using-multiplication.jpeg\" alt=\"Create Equivalent Fractions using Multiplication Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" 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\"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                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class=\"eplus-wrapper\">The standard form of the ratio can be given as a:b, where a is the antecedent and b is the consequent.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When a ratio is expressed in the form of a fraction it can be written as a\/b or $\\frac{a}{b}$. Here, a is the numerator and b is the denominator.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-how-to-identify-equivalent-ratios\">How to Identify Equivalent Ratios<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">We can use two methods. The first method is the cross multiplication method and the second method is the Highest Common Factor (HCF) method. Let us understand both of these methods with the help of examples.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"5-cross-multiplication-method\">Cross Multiplication Method<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">This method is convenient to use when the numbers involved are small.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Check whether 12:18 and 10:15 are equivalent ratios or not using the cross multiplication method.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> Write the given ratios in the fractional form that is numerator by denominator form.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$12:18 = \\frac{12}{18}$ and $10:15 = \\frac{10}{15}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2:<\/strong> Cross multiply.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$12 \\times 15 = 180$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$18 \\times 10 = 180$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3: <\/strong>If both products turn out to be equal, it would mean that the given ratios are equivalent ratios.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, $12 \\times 15 = 18 \\times 10 = 180$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the given ratios (12:18 and 10:15) are equivalent ratios.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"6-hcf-method\">HCF Method<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s use the same example.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> We will find the HCF of the antecedent and consequent of both the given ratios.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">HCF $(12,18) = 6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">HCF $(10,15) = 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2:<\/strong> Next, divide both the antecedent and consequent terms of both ratios by their respective HCF. So, we will get<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$(12 \\div 6) :(18 \\div 6) = 2:3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$(10 \\div 5) :(15 \\div 5)=2:3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3:<\/strong> If the reduced forms of both the given ratios are equal, it means that the given ratios are equivalent.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, $12:18 = 10:15$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-how-to-find-equivalent-ratios\">How to Find Equivalent Ratios?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">If one of the ratios can be expressed as a multiple of the other given ratio, then they are said to be equivalent ratios. Thus, creating equivalent ratios is simple.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">As is the case for equivalent fractions, we can easily find an equivalent ratio by multiplying the given ratio (both antecedent and consequent) with the same natural number.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example: Find equivalent ratios of 1:4.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"313\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/finding-equivalent-ratios.png\" alt=\"\" class=\"wp-image-40923\" title=\"Finding equivalent ratios\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/finding-equivalent-ratios.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/finding-equivalent-ratios-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Equivalent ratios of 1:4 are&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">2:8&nbsp; \u2026 multiply 1:4 by 2<\/p>\n\n\n\n<p class=\"eplus-wrapper\">3:12 \u2026 multiply 1:4 by 3<\/p>\n\n\n\n<p class=\"eplus-wrapper\">4:16 \u2026 multiply 1:4 by 4<\/p>\n\n\n\n<p class=\"eplus-wrapper\">and so on.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-table-of-equivalent-ratios-\">Table of Equivalent: Ratios&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">As we discussed earlier, we can easily find an equivalent ratio by multiplying the given ratio (both antecedent and consequent) with the same number. This number could be any natural number. We can find an infinite number of equivalent ratios for a given ratio.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">These equivalent ratios for a given ratio, when combined together and presented in a tabular format, gives us the required \u201cEquivalent Ratios Table.\u201d&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let us make our own Equivalent Ratio Table when the given ratio is 5:3. All we have to do is to think of any natural number and then multiply both the terms of the given ratio with that number to obtain a unique equivalent ratio.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5:3 = (5 \\times 2) :(3 \\times 2) = 10:6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5:3 = (5 \\times 3) : (3 \\times 3) = 15:9$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5:3 = (5 \\times 4) : (3 \\times 4) = 20:12$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5:3 = (5 \\times 5) : (3 \\times 5) = 25:15$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Equivalent Ratio Table for the ratio 5:3 can thus be represented as,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"206\" height=\"148\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/finding-equivalent-ratios-of-5-3.png\" alt=\"Finding equivalent ratios of 5:3\" class=\"wp-image-40924\" title=\"Finding equivalent ratios of 5:3\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-visual-representation-of-equivalent-ratios\">Visual Representation of Equivalent Ratios<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">When we represent the equivalent ratios visually, the shaded area (and thus the unshaded area) is the same for each ratio.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example:&nbsp; 1: 3<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2 : 6<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;4 : 12<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"661\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visual-representation-of-equivalent-ratios.png\" alt=\"Visual representation of equivalent ratios\" class=\"wp-image-40922\" title=\"Visual representation of equivalent ratios\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visual-representation-of-equivalent-ratios.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/visual-representation-of-equivalent-ratios-281x300.png 281w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-fun-facts-\"><strong>Fun Facts!<\/strong><\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The quantities that are to be compared using ratios should be of the same kind.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The quantities that are to be compared using ratios should have the same unit.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Not only can we multiply the terms of the ratio to get an equivalent ratio, but we can also divide both the terms with the same natural number.&nbsp;<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-conclusion-\"><strong>Conclusion<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we learned about equivalent ratios definition and meaning in mathematics, what ratios are, what the standard form of ratio is, and how to find equivalent ratios. We also understood how to make the equivalent ratios table for a given ratio.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-solved-examples-on-equivalent-ratios-\"><strong>Solved Examples On Equivalent Ratios<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Find one equivalent ratio of 3:22.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution: <\/strong>We will first write the given ratio in the form of a fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$3 :22 \\Rightarrow \\frac{3}{22}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now we will multiply both the numerator and denominator by 2<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{3 \\times 2}{22 \\times 2} = \\frac{6}{44} = 6 : 44$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, 8 :44 is an equivalent ratio of 3 :22.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Find any two equivalent ratios of <\/strong><strong>14 :21<\/strong><strong>.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We will first write the given ratio in the form of a fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$14:21 \\Rightarrow \\frac{14}{21}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now we will multiply both the numerator and denominator by 3, to get the first equivalent fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{14}{21}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{14 \\times 3}{21 \\times 3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{42}{63}= \\frac{14}{21}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Again, multiply and divide 1421 by another natural number, such as 5, as given below:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{14}{21}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{14 \\times 5}{21 \\times 5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{70}{105} = \\frac{14}{21}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the two equivalent ratios of 14 :21 are 42 :63 and 70 :105.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Find any four equivalent ratios of 2:9. Present them with the help of the Equivalent Ratios Table.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$2:9 = (2 \\times 2) : (9 \\times 2) = 4:18$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$2:9 = (2 \\times 3) : (9 \\times 3) = 6:27$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$2:9 = (2 \\times 4) : (9 \\times 4) = 8:36$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$2:9 = (2 \\times 5) : (9 \\times 5) = 10:45$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Equivalent Ratio Table for ratio 2:9 can thus be represented as:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"206\" height=\"148\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/03\/equivalent-ratios-of-2-9.png\" alt=\"Equivalent ratios of 2:9\" class=\"wp-image-40925\" style=\"width:206px;height:148px\" title=\"Equivalent ratios of 2:9\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. Are the ratios 18:10 and 63:35 equivalent?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s use the HCF method.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">HCF $(18,10) = 2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">HCF $(63:35) = 7$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{18 \\div 2}{10 \\div 2} = \\frac{9}{5}$ and $\\frac{63 \\div 7}{35 \\div 7} = \\frac{9}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Both ratios in their reduced form are equal.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, the ratios 18:10 and 63:35 are equivalent.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>5. What will be the value of x if <\/strong><strong>2:5 <\/strong><strong>is equivalent to <\/strong><strong>12:x<\/strong><strong>?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">It is given that $2 :5 = 12:x$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In fraction form, we write $\\frac{2}{5} = \\frac{12}{x}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">By cross multiplying, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$2x = 12 \\times 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$2x = 60$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$x = 30$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-practice-problems-on-equivalent-ratios\">Practice Problems On Equivalent Ratios<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Equivalent Ratios - Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The ratios 5:3 and 30:x are equivalent. Find x.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6<\/div><div class=\"spq_answer_block\" data-value=\"1\">9<\/div><div class=\"spq_answer_block\" data-value=\"2\">18<\/div><div class=\"spq_answer_block\" data-value=\"3\">28<\/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: 18<br\/>We can write the given ratios as<br>\r\n$\\frac{5}{3} = \\frac{30}{x}$ .<br>\r\nBy cross multiplying, we get<br>\r\n$5x = 90$<br>\r\nThus, $x = 18$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Equivalent ratios have the same ______________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Numerator<\/div><div class=\"spq_answer_block\" data-value=\"1\">Denominator<\/div><div class=\"spq_answer_block\" data-value=\"2\">Antecedent and consequent<\/div><div class=\"spq_answer_block\" data-value=\"3\">Reduced form<\/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: Reduced form<br\/>Equivalent ratios may have different numerator (antecedent) and denominator (consequent) but they have the same reduced form.<\/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\">Which of the following ratios are not equivalent with 5:10?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">14:28<\/div><div class=\"spq_answer_block\" data-value=\"1\">2:6<\/div><div class=\"spq_answer_block\" data-value=\"2\">6:12<\/div><div class=\"spq_answer_block\" data-value=\"3\">10:20<\/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: 2:6<br\/>$\\frac{14}{28} = \\frac{6}{12} = \\frac{10}{20} = \\frac{1}{2}$<br>\r\n$\\frac{2}{6} = \\frac{1}{3}  (\\text{HCF} = 2)$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Find the odd one out.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">\u2605:\u2606\u2606\u2606<\/div><div class=\"spq_answer_block\" data-value=\"1\">\u2b1a\u2b1a :\u25fe\u25fe\u25fe\u25fe\u25fe\u25fe<\/div><div class=\"spq_answer_block\" data-value=\"2\">\u2663\u2663\u2663 : \u2667\u2667\u2667\u2667\u2667\u2667\u2667\u2667\u2667<\/div><div class=\"spq_answer_block\" data-value=\"3\">\u2660\u2660\u2660\u2660 : \u2664\u2664\u2664\u2664\u2664\u2664\u2664<\/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: \u2660\u2660\u2660\u2660 : \u2664\u2664\u2664\u2664\u2664\u2664\u2664<br\/>The first three options represent equivalent ratios 1:3, 2:6, and 3: 9.<\/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\": \"Equivalent Ratios - Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Equivalent Ratios\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The ratios 5:3 and 30:x are equivalent. Find x.\",\n                    \"text\": \"The ratios 5:3 and 30:x are equivalent. Find x.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We can write the given ratios as<br>\r\n$$\\\\frac{5}{3} = \\\\frac{30}{x}$$ .<br>\r\nBy cross multiplying, we get<br>\r\n$$5x = 90$$<br>\r\nThus, $$x = 18$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We can write the given ratios as<br>\r\n$$\\\\frac{5}{3} = \\\\frac{30}{x}$$ .<br>\r\nBy cross multiplying, we get<br>\r\n$$5x = 90$$<br>\r\nThus, $$x = 18$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We can write the given ratios as<br>\r\n$$\\\\frac{5}{3} = \\\\frac{30}{x}$$ .<br>\r\nBy cross multiplying, we get<br>\r\n$$5x = 90$$<br>\r\nThus, $$x = 18$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"28\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We can write the given ratios as<br>\r\n$$\\\\frac{5}{3} = \\\\frac{30}{x}$$ .<br>\r\nBy cross multiplying, we get<br>\r\n$$5x = 90$$<br>\r\nThus, $$x = 18$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"18\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We can write the given ratios as<br>\r\n$$\\\\frac{5}{3} = \\\\frac{30}{x}$$ .<br>\r\nBy cross multiplying, we get<br>\r\n$$5x = 90$$<br>\r\nThus, $$x = 18$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We can write the given ratios as<br>\r\n$$\\\\frac{5}{3} = \\\\frac{30}{x}$$ .<br>\r\nBy cross multiplying, we get<br>\r\n$$5x = 90$$<br>\r\nThus, $$x = 18$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Equivalent ratios have the same ______________.\",\n                    \"text\": \"Equivalent ratios have the same ______________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Equivalent ratios may have different numerator (antecedent) and denominator (consequent) but they have the same reduced form.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Numerator\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Equivalent ratios may have different numerator (antecedent) and denominator (consequent) but they have the same reduced form.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Denominator\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Equivalent ratios may have different numerator (antecedent) and denominator (consequent) but they have the same reduced form.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Antecedent and consequent\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Equivalent ratios may have different numerator (antecedent) and denominator (consequent) but they have the same reduced form.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Reduced form\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Equivalent ratios may have different numerator (antecedent) and denominator (consequent) but they have the same reduced form.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Equivalent ratios may have different numerator (antecedent) and denominator (consequent) but they have the same reduced form.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following ratios are not equivalent with 5:10?\",\n                    \"text\": \"Which of the following ratios are not equivalent with 5:10?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\frac{14}{28} = \\\\frac{6}{12} = \\\\frac{10}{20} = \\\\frac{1}{2}$$<br>\r\n$$\\\\frac{2}{6} = \\\\frac{1}{3}  (\\\\text{HCF} = 2)$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"14:28\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{14}{28} = \\\\frac{6}{12} = \\\\frac{10}{20} = \\\\frac{1}{2}$$<br>\r\n$$\\\\frac{2}{6} = \\\\frac{1}{3}  (\\\\text{HCF} = 2)$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6:12\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{14}{28} = \\\\frac{6}{12} = \\\\frac{10}{20} = \\\\frac{1}{2}$$<br>\r\n$$\\\\frac{2}{6} = \\\\frac{1}{3}  (\\\\text{HCF} = 2)$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10:20\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{14}{28} = \\\\frac{6}{12} = \\\\frac{10}{20} = \\\\frac{1}{2}$$<br>\r\n$$\\\\frac{2}{6} = \\\\frac{1}{3}  (\\\\text{HCF} = 2)$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"2:6\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\frac{14}{28} = \\\\frac{6}{12} = \\\\frac{10}{20} = \\\\frac{1}{2}$$<br>\r\n$$\\\\frac{2}{6} = \\\\frac{1}{3}  (\\\\text{HCF} = 2)$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\frac{14}{28} = \\\\frac{6}{12} = \\\\frac{10}{20} = \\\\frac{1}{2}$$<br>\r\n$$\\\\frac{2}{6} = \\\\frac{1}{3}  (\\\\text{HCF} = 2)$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the odd one out.\",\n                    \"text\": \"Find the odd one out.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The first three options represent equivalent ratios 1:3, 2:6, and 3: 9.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"\u2605:\u2606\u2606\u2606\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The first three options represent equivalent ratios 1:3, 2:6, and 3: 9.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"\u2b1a\u2b1a :\u25fe\u25fe\u25fe\u25fe\u25fe\u25fe\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The first three options represent equivalent ratios 1:3, 2:6, and 3: 9.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"\u2663\u2663\u2663 : \u2667\u2667\u2667\u2667\u2667\u2667\u2667\u2667\u2667\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The first three options represent equivalent ratios 1:3, 2:6, and 3: 9.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"\u2660\u2660\u2660\u2660 : \u2664\u2664\u2664\u2664\u2664\u2664\u2664\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The first three options represent equivalent ratios 1:3, 2:6, and 3: 9.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The first three options represent equivalent ratios 1:3, 2:6, and 3: 9.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"14-frequently-asked-questions-on-equivalent-ratios\">Frequently Asked Questions On Equivalent Ratios<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-41ec8c96-6678-4003-a46f-6466e786bad6\" 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-0-41ec8c96-6678-4003-a46f-6466e786bad6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-41ec8c96-6678-4003-a46f-6466e786bad6\"><strong>What are fractions?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-41ec8c96-6678-4003-a46f-6466e786bad6\">\n\n<p class=\"eplus-wrapper\">Fraction means a part of the whole.<\/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-1-41ec8c96-6678-4003-a46f-6466e786bad6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-41ec8c96-6678-4003-a46f-6466e786bad6\"><strong>What is proportion?<\/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-1-41ec8c96-6678-4003-a46f-6466e786bad6\">\n\n<p class=\"eplus-wrapper\">Proportion is defined as the equality between two ratios.<\/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-2-41ec8c96-6678-4003-a46f-6466e786bad6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-41ec8c96-6678-4003-a46f-6466e786bad6\"><strong>What is HCF?<\/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-2-41ec8c96-6678-4003-a46f-6466e786bad6\">\n\n<p class=\"eplus-wrapper\">The full form of HCF is the Highest Common Factor. It is the greatest factor that divides the given two or more numbers. For example, 4 is the HCF of 4 and 16.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-41ec8c96-6678-4003-a46f-6466e786bad6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-41ec8c96-6678-4003-a46f-6466e786bad6\"><strong>What is LCM?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-41ec8c96-6678-4003-a46f-6466e786bad6\">\n\n<p class=\"eplus-wrapper\">The full form of LCM is the least common multiple. For example, LCM of 16 and 24 will be $2 \\times 2 \\times 2 \\times 2 \\times 3 = 48$, where 48 is the smallest common multiple for numbers 16 and 24.<\/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-4-41ec8c96-6678-4003-a46f-6466e786bad6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-41ec8c96-6678-4003-a46f-6466e786bad6\"><strong>What is the unit of ratio?<\/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-4-41ec8c96-6678-4003-a46f-6466e786bad6\">\n\n<p class=\"eplus-wrapper\">Ratio is a number, so it has no unit.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are Equivalent Ratios? Two ratios that turn out to be the same in comparison are known as equivalent ratios. In order to check whether the given ratios are equivalent or not, we will have to simplify them or reduce them to their simplest form. Example: Consider the ratios as 1:2, 2:4. 3:6.&nbsp; If you &#8230; <a title=\"Equivalent Ratios &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/equivalent-ratios\" aria-label=\"More on Equivalent Ratios &#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-25574","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\/25574","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=25574"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/25574\/revisions"}],"predecessor-version":[{"id":40926,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/25574\/revisions\/40926"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=25574"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=25574"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=25574"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}