{"id":1320,"date":"2022-04-18T12:18:33","date_gmt":"2022-04-18T12:18:33","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1320"},"modified":"2024-02-18T16:03:31","modified_gmt":"2024-02-18T16:03:31","slug":"cross-multiplication-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/cross-multiplication","title":{"rendered":"Cross Multiplication &#8211; Definition, Examples, Practice Problems"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-27a51669-18a4-4c8e-9f55-acdb8f8f80fb\" 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\/cross-multiplication#0-cross-multiplication-introduction>Cross Multiplication: Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/cross-multiplication#1-what-is-cross-multiplication>What Is Cross Multiplication?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/cross-multiplication#2-how-to-cross-multiply-fractions>How to Cross Multiply Fractions?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/cross-multiplication#6-solved-examples-on-cross-multiplication>Solved Examples on Cross Multiplication<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/cross-multiplication#7-practice-problems-on-cross-multiplication>Practice Problems on Cross Multiplication<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/cross-multiplication#8-frequently-asked-questions-on-cross-multiplication>Frequently Asked Questions on Cross Multiplication<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-cross-multiplication-introduction\">Cross Multiplication: Introduction<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">We commonly use the cross multiplication method to find unknown values in any algebraic equation. Let&#8217;s look at these everyday math questions. If one candy bar costs $\\$$2, how much would 10 such candy bars cost?&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/cross-multiplication-to-solve-word-problems.webp\" alt=\"cross-multiplication-to-solve-word-problems\" class=\"wp-image-40096\" title=\"Cross multiplication to solve word problems\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/cross-multiplication-to-solve-word-problems.webp 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/cross-multiplication-to-solve-word-problems-300x153.webp 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Cross multiplication, as the name suggests, refers to multiplying numbers placed at cross positions.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We cross multiply fractions $\\frac{1}{10}$ and $\\frac{2}{?}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$? \\times 1= $\\$$10$ $\\times 2$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$? =$ $\\$$20<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, 10 candy bars would cost $\\$$20.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s learn more about this method and its applications.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimal-fractions-using-equivalence\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_convert_to_equi_frac_to_add_pt.png\" alt=\"Add Decimal Fractions Using Equivalence Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimal Fractions Using Equivalence Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-fractions-using-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_unlike_models_pt.png\" alt=\"Add Fractions using Models Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Fractions using Models Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-fractions-with-the-aid-of-a-number-line\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_like_frac_sum_greater_than_1_nl_pt.png\" alt=\"Add Fractions WIth the Aid of a Number LIne Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Fractions WIth the Aid of a Number LIne Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_like_frac_sum_upto_1_pt.png\" alt=\"Add Like Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Like Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions-greater-than-1\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_find_sum_pt.png\" alt=\"Add Like Fractions Greater than 1 Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Like Fractions Greater than 1 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions-to-get-a-sum-greater-than-1\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_like_frac_sum_greater_than_1_pt.png\" alt=\"Add Like Fractions to Get a Sum Greater than 1 Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Like Fractions to Get a Sum Greater than 1 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-like-fractions-using-number-lines\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_like_frac_sum_upto_1_nl_pt.png\" alt=\"Add Like Fractions using Number Lines Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Like Fractions using Number Lines Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-unlike-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_unlike_pt.png\" alt=\"Add Unlike Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Unlike Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/are-the-fractions-equivalent\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_identify_equi_visual_model_pt.png\" alt=\"Are the Fractions Equivalent Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Are the Fractions Equivalent Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-word-problems-on-product-of-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_real_life_prob_area_pt.png\" alt=\"Area Word Problems on Product of Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area Word Problems on Product of Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-what-is-cross-multiplication\">What Is Cross Multiplication?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">For any algebraic equation like $\\frac{a}{b}=\\frac{c}{d}$, the cross multiplication method uses the following formula:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$a\\times d = b\\times c$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">To cross multiply fractions, we multiply the numerator of the first fraction with the denominator of the second fraction and the numerator of the second fraction with the denominator of the first fraction.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"326\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/cross-multiplication.png\" alt=\"Cross multiplication\" class=\"wp-image-40097\" title=\"Cross multiplication\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/cross-multiplication.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/cross-multiplication-300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Cross multiplication can be used to compare <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\" target=\"_blank\" rel=\"noopener\" title=\"\">fractions<\/a>, to add or subtract unlike fractions, to find unknown value in an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/expression\" title=\"\">expression<\/a>, and to compare ratios.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-decimal-fractions-to-write-decimal-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-decimal-fractions-to-write-decimal-number.jpeg\" alt=\"Add Decimal Fractions to Write Decimal Number Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-fractions-using-area-models.jpeg\" alt=\"Add Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-fraction-models\" data-vars-ga-category=\"splashlearn_vocab\" 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 Mixed Numbers and 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/adding-fractions-mixed-numbers-word-problems\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div 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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-cross-multiply-fractions\">How to Cross Multiply Fractions?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s understand how to cross multiply fractions using an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that $\\frac{3}{4} = \\frac{6}{8}$ &nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Cross multiply fractions $\\frac{3}{4}$ and $\\frac{6}{8}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiply the numerator of the first fraction with the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\" title=\"\">denominator<\/a> of the second fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiply the numerator of the second fraction with the denominator of the first fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We get<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$3\\times8=24$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$6\\times4=24$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, by cross-multiplying fractions $\\frac{a}{b} = \\frac{c}{d}$&nbsp; , we get $a\\times d = b\\times c$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-cross-multiply-fractions-to-compare-unlike-fractions\">Cross Multiply Fractions to Compare Unlike Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">We just learnt how to cross multiply fractions. When do you cross multiply fractions? Unlike fractions can be compared by cross multiplying. Unlike fractions are&nbsp;fractions that have different denominators.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example<\/strong>:&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Compare&nbsp;<\/strong>$\\frac{3}{7}$<strong>&nbsp;and&nbsp;<\/strong>$\\frac{5}{8}$<strong>&nbsp;using cross-multiplication.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">To compare two fractions with different denominators, we make their denominators the same.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We do it by changing the denominators to the product of both denominators.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"295\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-unlike-fractions-using-cross-multiplication.png\" alt=\"Comparing unlike fractions \" class=\"wp-image-40098\" title=\"Comparing unlike fractions \" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-unlike-fractions-using-cross-multiplication.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-unlike-fractions-using-cross-multiplication-300x143.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">So, the denominator of both the fractions becomes $7 \\times 8 = 56$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, we <strong>cross multiply fractions<\/strong> to find the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\" title=\"\">numerators<\/a>.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">First, we multiply the numerator of the first fraction with the denominator of the second fraction.&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"295\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/example-of-comparing-unlike-fractions-using-cross-multiplication.png\" alt=\"Example of comparing unlike fractions using cross multiplication\" class=\"wp-image-40099\" title=\"Example of comparing unlike fractions using cross multiplication\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/example-of-comparing-unlike-fractions-using-cross-multiplication.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/example-of-comparing-unlike-fractions-using-cross-multiplication-300x143.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">$3 \\times 8 = 24$&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the first fraction becomes: $\\frac{24}{56}$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Next, we multiply the second fraction\u2019s numerator by the first fraction\u2019s denominator.&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"295\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-unlike-fractions-using-cross-multiplication-1.png\" alt=\"Comparing unlike fractions using cross multiplication\" class=\"wp-image-40100\" title=\"Comparing unlike fractions using cross multiplication\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-unlike-fractions-using-cross-multiplication-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-unlike-fractions-using-cross-multiplication-1-300x143.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">$5 \\times 7 = 35$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the second fraction becomes: $\\frac{35}{56}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since&nbsp; $\\frac{24}{56} \\lt \\frac{35}{56}$ , we can say that $\\frac{3}{7} \\lt \\frac{5}{8}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-cross-multiplication-to-compare-ratios\">Cross Multiplication to Compare Ratios<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">If two ratios are equal, i.e.,&nbsp;$\\frac{a}{b} = \\frac{c}{d}$, (where b and d are not equal to zero), then the product after cross multiplication is also equal.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"477\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-ratios-using-cross-multiplication.png\" alt=\"Comparing ratios using cross multiplication\" class=\"wp-image-40101\" title=\"Comparing ratios using cross multiplication\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-ratios-using-cross-multiplication.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/comparing-ratios-using-cross-multiplication-300x231.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\">$\\frac{a}{b} \\lt \\frac{c}{d}$ if $a\\times d \\lt b\\times c$.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:<\/strong> $\\frac{1}{2} \\lt \\frac{3}{4}$ since $4 \\lt 6$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$\\frac{a}{b} \\gt \\frac{c}{d}$ if $a \\times d \\gt b \\times c$.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:<\/strong> $\\frac{1}{10} \\gt \\frac{1}{100}$ since $100 \\gt 10$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"518\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/rules-for-comparing-ratios-using-cross-multiplication.png\" alt=\"Rules for comparing ratios using cross multiplication\" class=\"wp-image-40095\" title=\"Rules for comparing ratios using cross multiplication\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/rules-for-comparing-ratios-using-cross-multiplication.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/rules-for-comparing-ratios-using-cross-multiplication-300x251.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">We can use <strong>cross-multiplication<\/strong> to find the value of a variable in an equation involving ratios. Let us understand this better with an example.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example<\/strong>: If 8 candle-stands cost $\\$$40. How much will 12 such candle-stands cost?<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Cost of 8 candle-stands = $\\$$40<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Cost of 1 candle-stands $= \\frac{40}{8}$ &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;\u2026\u2026\u2026\u2026(i)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let the cost of 12 candle-stands be x.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the cost of 1 candle-stands will be $\\frac{x}{12}$.&nbsp; &nbsp; &nbsp;\u2026\u2026\u2026\u2026..(ii)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Equating (i) and (ii), we get<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{40}{8} =&nbsp;\\frac{x}{12}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Cross multiply to get<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$40 \\times 12 = 8 \\times x$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{480}{8}=$ x&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x $=60$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the cost of 12 candle-stands is $\\$$60.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-cross-multiplication-with-one-variable\">Cross Multiplication with One Variable<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The cross multiplication method is mostly used to find the unknown <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/variable\" title=\"\">variable<\/a> in an equation. Let\u2019s look at an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{4}{9} = \\frac{x}{45}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">When we cross multiply:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$4 \\times 45 = 180$ and $9 \\times x = 9x$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, $9x = 180$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x$ = \\frac{180}{9} = 20$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, we get $x = 20$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples-on-cross-multiplication\">Solved Examples on Cross Multiplication<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Compare the fractions <\/strong>57<strong> and <\/strong>49<strong> by cross multiplying.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong><em>Solution: <\/em><\/strong>When we cross multiply, we find,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5 \\times 9 = 45$ and $4 \\times 7 = 28$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since $45 \\gt 28, 57$ is greater than 49.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Jimmy wants to find the value of <\/strong>x<strong><em> <\/em><\/strong><strong>in the given equation. Can you help him?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{12}{15} = \\frac{x}{10}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong><em>Solution:<\/em><\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{12}{15} = \\frac{x}{10}$ ( given)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">On cross multiplying:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$12 \\times 10 = 15 \\times x$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{120}{15} =$<em> <\/em>x&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$8 =$ x&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the value of x<em> <\/em>is 8.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Which is bigger, <\/strong>$\\frac{7}{12}$<strong> or <\/strong>$\\frac{6}{11}$<strong>?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong><strong><em>:<\/em><\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">When we cross multiply, we find<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$7 \\times 11 = 77$ and $6 \\times 12 = 72$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">As, $77 \\gt 72$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore,&nbsp;$\\frac{7}{12} \\gt \\frac{6}{11}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problems-on-cross-multiplication\">Practice Problems on Cross Multiplication<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Cross Multiply Fractions<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">If fractions $\\frac{4}{8}$ and $\\frac{5}{x}$ are equal, what\u2019s the value of $x$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">40<\/div><div class=\"spq_answer_block\" data-value=\"1\">5<\/div><div class=\"spq_answer_block\" data-value=\"2\">15<\/div><div class=\"spq_answer_block\" data-value=\"3\">10<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 10<br\/>Since the given fractions are equal, we can cross multiply and say that $4x= 8 \\times 5 = 40$<br>\r\nThus, x $=$ 10<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">If 4 cupcakes cost $\\$$12. How much will 10 such cupcakes cost?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\$$30<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\$$48<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\$$40<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\$$36<\/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: $\\$$30<br\/>The cost of 4 cupcakes is $\\$$12.<br>\r\nLet the cost of 10 cupcakes be the variable x. When we frame it as an equation, we have:<br>\r\n$\\frac{12}{4} = \\frac{x}{10}$<br>\r\nWhen we cross multiply, we get<br>\r\n$12 \\times 10 = 4 \\times x$<br>\r\n$\\frac{120}{4} = x$<br>\r\n$30 = x$<br>\r\nTherefore, the cost of 10 cupcakes is $\\$$30. <\/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\">What is the value of x  if $\\frac{9}{11}  = \\frac{x}{33}$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">10<\/div><div class=\"spq_answer_block\" data-value=\"1\">27<\/div><div class=\"spq_answer_block\" data-value=\"2\">18<\/div><div class=\"spq_answer_block\" data-value=\"3\">55<\/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: 27<br\/>$\\frac{9}{11}= \\frac{x}{33}$<br> \r\nOn cross multiplying:<br>\r\n$9 \\times 33 = 11\\times x$<br>\r\n$\\frac{297}{11} = x$<br> \r\n$x = 27$<br>\r\nSo, the value of $x$  is 27.<\/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\": \"Cross Multiply Fractions\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Cross Multiply Fractions\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n           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                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since the given fractions are equal, we can cross multiply and say that $$4x= 8 \\\\times 5 = 40$$<br>\r\nThus, x $$=$$ 10\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since the given fractions are equal, we can cross multiply and say that $$4x= 8 \\\\times 5 = 40$$<br>\r\nThus, x $$=$$ 10\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since the given fractions are equal, we can cross multiply and say that $$4x= 8 \\\\times 5 = 40$$<br>\r\nThus, x $$=$$ 10\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"10\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Since the given fractions are equal, we can cross multiply and say that $$4x= 8 \\\\times 5 = 40$$<br>\r\nThus, x $$=$$ 10\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Since the given fractions are equal, we can cross multiply and say that $$4x= 8 \\\\times 5 = 40$$<br>\r\nThus, x $$=$$ 10\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If 4 cupcakes cost $$\\\\$$$$12. How much will 10 such cupcakes cost?\",\n                    \"text\": \"If 4 cupcakes cost $$\\\\$$$$12. How much will 10 such cupcakes cost?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The cost of 4 cupcakes is $$\\\\$$$$12.<br>\r\nLet the cost of 10 cupcakes be the variable x. When we frame it as an equation, we have:<br>\r\n$$\\\\frac{12}{4} = \\\\frac{x}{10}$$<br>\r\nWhen we cross multiply, we get<br>\r\n$$12 \\\\times 10 = 4 \\\\times x$$<br>\r\n$$\\\\frac{120}{4} = x$$<br>\r\n$$30 = x$$<br>\r\nTherefore, the cost of 10 cupcakes is $$\\\\$$$$30. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$$$48\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The cost of 4 cupcakes is $$\\\\$$$$12.<br>\r\nLet the cost of 10 cupcakes be the variable x. When we frame it as an equation, we have:<br>\r\n$$\\\\frac{12}{4} = \\\\frac{x}{10}$$<br>\r\nWhen we cross multiply, we get<br>\r\n$$12 \\\\times 10 = 4 \\\\times x$$<br>\r\n$$\\\\frac{120}{4} = x$$<br>\r\n$$30 = x$$<br>\r\nTherefore, the cost of 10 cupcakes is $$\\\\$$$$30. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$$$40\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The cost of 4 cupcakes is $$\\\\$$$$12.<br>\r\nLet the cost of 10 cupcakes be the variable x. When we frame it as an equation, we have:<br>\r\n$$\\\\frac{12}{4} = \\\\frac{x}{10}$$<br>\r\nWhen we cross multiply, we get<br>\r\n$$12 \\\\times 10 = 4 \\\\times x$$<br>\r\n$$\\\\frac{120}{4} = x$$<br>\r\n$$30 = x$$<br>\r\nTherefore, the cost of 10 cupcakes is $$\\\\$$$$30. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\$$$$36\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The cost of 4 cupcakes is $$\\\\$$$$12.<br>\r\nLet the cost of 10 cupcakes be the variable x. When we frame it as an equation, we have:<br>\r\n$$\\\\frac{12}{4} = \\\\frac{x}{10}$$<br>\r\nWhen we cross multiply, we get<br>\r\n$$12 \\\\times 10 = 4 \\\\times x$$<br>\r\n$$\\\\frac{120}{4} = x$$<br>\r\n$$30 = x$$<br>\r\nTherefore, the cost of 10 cupcakes is $$\\\\$$$$30. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\$$$$30\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The cost of 4 cupcakes is $$\\\\$$$$12.<br>\r\nLet the cost of 10 cupcakes be the variable x. When we frame it as an equation, we have:<br>\r\n$$\\\\frac{12}{4} = \\\\frac{x}{10}$$<br>\r\nWhen we cross multiply, we get<br>\r\n$$12 \\\\times 10 = 4 \\\\times x$$<br>\r\n$$\\\\frac{120}{4} = x$$<br>\r\n$$30 = x$$<br>\r\nTherefore, the cost of 10 cupcakes is $$\\\\$$$$30.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The cost of 4 cupcakes is $$\\\\$$$$12.<br>\r\nLet the cost of 10 cupcakes be the variable x. When we frame it as an equation, we have:<br>\r\n$$\\\\frac{12}{4} = \\\\frac{x}{10}$$<br>\r\nWhen we cross multiply, we get<br>\r\n$$12 \\\\times 10 = 4 \\\\times x$$<br>\r\n$$\\\\frac{120}{4} = x$$<br>\r\n$$30 = x$$<br>\r\nTherefore, the cost of 10 cupcakes is $$\\\\$$$$30.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the value of x  if $$\\\\frac{9}{11}  = \\\\frac{x}{33}$$.\",\n                    \"text\": \"What is the value of x  if $$\\\\frac{9}{11}  = \\\\frac{x}{33}$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\frac{9}{11}= \\\\frac{x}{33}$$<br> \r\nOn cross multiplying:<br>\r\n$$9 \\\\times 33 = 11\\\\times x$$<br>\r\n$$\\\\frac{297}{11} = x$$<br> \r\n$$x = 27$$<br>\r\nSo, the value of $$x$$  is 27.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{9}{11}= \\\\frac{x}{33}$$<br> \r\nOn cross multiplying:<br>\r\n$$9 \\\\times 33 = 11\\\\times x$$<br>\r\n$$\\\\frac{297}{11} = x$$<br> \r\n$$x = 27$$<br>\r\nSo, the value of $$x$$  is 27.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"18\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{9}{11}= \\\\frac{x}{33}$$<br> \r\nOn cross multiplying:<br>\r\n$$9 \\\\times 33 = 11\\\\times x$$<br>\r\n$$\\\\frac{297}{11} = x$$<br> \r\n$$x = 27$$<br>\r\nSo, the value of $$x$$  is 27.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"55\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{9}{11}= \\\\frac{x}{33}$$<br> \r\nOn cross multiplying:<br>\r\n$$9 \\\\times 33 = 11\\\\times x$$<br>\r\n$$\\\\frac{297}{11} = x$$<br> \r\n$$x = 27$$<br>\r\nSo, the value of $$x$$  is 27.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"27\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\frac{9}{11}= \\\\frac{x}{33}$$<br> \r\nOn cross multiplying:<br>\r\n$$9 \\\\times 33 = 11\\\\times x$$<br>\r\n$$\\\\frac{297}{11} = x$$<br> \r\n$$x = 27$$<br>\r\nSo, the value of $$x$$  is 27.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\frac{9}{11}= \\\\frac{x}{33}$$<br> \r\nOn cross multiplying:<br>\r\n$$9 \\\\times 33 = 11\\\\times x$$<br>\r\n$$\\\\frac{297}{11} = x$$<br> \r\n$$x = 27$$<br>\r\nSo, the value of $$x$$  is 27.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions-on-cross-multiplication\">Frequently Asked Questions on Cross Multiplication<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-b6310473-70e5-4b9f-a032-c495c9e168a3\" 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-b6310473-70e5-4b9f-a032-c495c9e168a3\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b6310473-70e5-4b9f-a032-c495c9e168a3\"><strong>When do we use cross multiplication?<\/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-b6310473-70e5-4b9f-a032-c495c9e168a3\">\n\n<p>We use the <strong>cross multiplication<\/strong> method for the following:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The process of cross multiplying is used to compare both fractions and ratios. Using this<strong>,<\/strong> we can gauge if they are equal, greater, or lesser.<\/li>\n\n\n\n<li>It is also used in finding the value of variables in an expression.<\/li>\n<\/ul>\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-b6310473-70e5-4b9f-a032-c495c9e168a3\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b6310473-70e5-4b9f-a032-c495c9e168a3\"><strong>2. How is cross multiplication used to find the value of a variable?<\/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-b6310473-70e5-4b9f-a032-c495c9e168a3\">\n\n<p><strong>Cross multiplication<\/strong> is done on the numerators and denominators of the fractions, which are present on both sides of the equation. Next, we solve the equation to find the unknown variable<\/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-b6310473-70e5-4b9f-a032-c495c9e168a3\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b6310473-70e5-4b9f-a032-c495c9e168a3\"><strong>Do we use cross multiply 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-2-b6310473-70e5-4b9f-a032-c495c9e168a3\">\n\n<p>No, we do not cross multiply when multiplying fractions. To multiply fractions, we multiply the numerators with numerators and denominators.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Cross Multiplication: Introduction We commonly use the cross multiplication method to find unknown values in any algebraic equation. Let&#8217;s look at these everyday math questions. If one candy bar costs $\\$$2, how much would 10 such candy bars cost?&nbsp; Cross multiplication, as the name suggests, refers to multiplying numbers placed at cross positions.&nbsp; We cross &#8230; <a title=\"Cross Multiplication &#8211; Definition, Examples, Practice Problems\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/cross-multiplication\" aria-label=\"More on Cross Multiplication &#8211; Definition, Examples, Practice Problems\">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-1320","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\/1320","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=1320"}],"version-history":[{"count":33,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1320\/revisions"}],"predecessor-version":[{"id":40102,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1320\/revisions\/40102"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1320"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1320"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1320"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}