{"id":1694,"date":"2022-04-21T13:06:31","date_gmt":"2022-04-21T13:06:31","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1694"},"modified":"2023-12-27T08:47:01","modified_gmt":"2023-12-27T08:47:01","slug":"subtracting-fractions-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/subtracting-fractions","title":{"rendered":"Subtracting Fractions &#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-a4a4c761-2caf-4032-b437-c6b6125efca3\" 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\/subtracting-fractions#0-what-does-%E2%80%9Csubtracting-fractions%E2%80%9D-mean>What Does \u201cSubtracting Fractions\u201d Mean?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/subtracting-fractions#2-subtracting-fractions-with-same-denominators>Subtracting Fractions with Same Denominators<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/subtracting-fractions#3-subtracting-fractions-with-unlike-denominators>Subtracting Fractions with Unlike Denominators<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/subtracting-fractions#8-solved-examples-on-subtracting-fractions>Solved Examples on Subtracting Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/subtracting-fractions#9-practice-problems-on-subtracting-fractions>Practice Problems on Subtracting Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/subtracting-fractions#10-frequently-asked-questions-about-subtracting-fractions>Frequently Asked Questions about Subtracting Fractions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-does-%E2%80%9Csubtracting-fractions%E2%80%9D-mean\">What Does \u201cSubtracting Fractions\u201d Mean?<\/h2>\n\n\n\n<p><strong>Subtracting fractions is finding the difference between the two or more fractions with the same or different denominators.&nbsp;<\/strong><\/p>\n\n\n\n<p>Subtracting like fractions (fractions with same denominators) is a simple and straightforward process, but in order to subtract unlike fractions (fractions with different denominators), we first need to make the denominators the same.<\/p>\n\n\n\n<p>Fraction subtraction is a very important math skill that we constantly use in day-to-day life. Let\u2019s consider some real-life scenarios to understand the significance of subtracting fractions.<\/p>\n\n\n\n<p><strong>Example 1: Subtracting like fractions<\/strong><\/p>\n\n\n\n<p>Your daily exercise goal includes running $\\frac{3}{4}$ miles. If you have already run $\\frac{1}{4}$ miles in the morning, you need still need to run $\\frac{3}{4} &#8211; \\frac{1}{4}$ miles to complete your goal.<\/p>\n\n\n\n<p><strong>Example 2: Subtracting unlike fractions<\/strong><\/p>\n\n\n\n<p>Suppose you need to add $\\frac{3}{4}$ cups of water in a curry. You already added half a cup of water. Now, to determine how much more water you need to add in the curry, you need to subtract $\\frac{1}{2}$ from $\\frac{3}{4}$.<\/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\" id=\"1-how-to-subtract-fractions\">How to Subtract Fractions<\/h2>\n\n\n\n<p>When subtracting fractions, we come across following cases:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtracting Fractions with Like Denominators<\/li>\n\n\n\n<li>Subtracting Fractions with Unlike Denominators<\/li>\n\n\n\n<li>Subtracting Mixed Fractions<\/li>\n\n\n\n<li>Subtracting Fractions with Whole Numbers<\/li>\n<\/ul>\n\n\n\n<p>The process of subtracting fractions in each of these cases is somewhat similar, except for the few steps depending on the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/types-of-fractions\">type of fractions<\/a>.<\/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 class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/adding-fractions-mixed-numbers-word-problems.jpeg\" alt=\"Adding Fractions & Mixed Numbers Word Problems 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-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\/adding-fractions-using-fraction-models.jpeg\" alt=\"Adding 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\/adding-fractions-using-models\" data-vars-ga-category=\"splashlearn_vocab\" 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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\" id=\"2-subtracting-fractions-with-same-denominators\">Subtracting Fractions with Same Denominators<\/h2>\n\n\n\n<p>Fractions with the same denominator are called \u201clike fractions.\u201d<\/p>\n\n\n\n<p>To subtract like fractions, follow these steps:<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Subtract the numerators.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Keep the denominator as it is.<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Reduce the fraction to the simplest form, if necessary.<\/p>\n\n\n\n<p><strong>Example 1: <\/strong>Let\u2019s solve the previous example.<\/p>\n\n\n\n<p>To complete your exercise goal, you need to run $\\frac{3}{4} &#8211; \\frac{1}{4} miles.<\/p>\n\n\n\n<p>$\\frac{3}{4} &#8211; \\frac{1}{4} = \\frac{3\\; &#8211; \\;1}{4} = \\frac{2}{4} = \\frac{1}{2}$<\/p>\n\n\n\n<p>So, you need to run half a mile more to complete the goal.&nbsp;<\/p>\n\n\n\n<p><strong>Example 2:<\/strong>\u00a0 $\\frac{9}{11} &#8211; \\frac{5}{11}$<\/p>\n\n\n\n<p>$\\frac{9}{11} &#8211; \\frac{5}{11} = \\frac{9 \\;-\\; 5}{11} = \\frac{4}{11}$<\/p>\n\n\n\n<p><strong>Example 3: <\/strong>$\\frac{9}{13} &#8211; \\frac{5}{13} &#8211; \\frac{1}{13}$<\/p>\n\n\n\n<p>$\\frac{9}{13} &#8211; \\frac{5}{13} &#8211; \\frac{1}{13} = \\frac{9 \\;- \\;5 -\\;1}{13} = \\frac{3}{13}$\u00a0<\/p>\n\n\n\n<p>OR<\/p>\n\n\n\n<p>$\\frac{9}{13} &#8211; \\frac{5}{13} &#8211; \\frac{1}{13}$<\/p>\n\n\n\n<p>$= \\frac{9 &#8211; 5}{13} &#8211; \\frac{1}{13}$                \u2026focus on the first two fractions<\/p>\n\n\n\n<p>$= \\frac{4}{13} &#8211; \\frac{1}{13}$                      \u2026now subtract the third fraction\u00a0<\/p>\n\n\n\n<p>$= \\frac{3}{13}$<\/p>\n\n\n\n<p>Example $4: \\frac{5}{9} &#8211; \\frac{3}{9} = \\frac{2}{9}$<\/p>\n\n\n\n<p>We can represent this subtraction visually as:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"493\" height=\"168\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-like-fractions-visual-model.png\" alt=\"Subtracting like fractions visual model\" class=\"wp-image-36768\" title=\"Subtracting like fractions visual model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-like-fractions-visual-model.png 493w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-like-fractions-visual-model-300x102.png 300w\" sizes=\"auto, (max-width: 493px) 100vw, 493px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-subtracting-fractions-with-unlike-denominators\">Subtracting Fractions with Unlike Denominators<\/h2>\n\n\n\n<p>Fractions with different denominators are called \u201cunlike fractions.\u201d To subtract unlike fractions, we first convert them into like fractions by finding their common denominator.&nbsp;<\/p>\n\n\n\n<p>The easiest way to convert unlike fractions into like fractions is the LCM method.&nbsp;<\/p>\n\n\n\n<p>Follow these steps:<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Find the LCM of the two denominators.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Find the equivalent fractions of the given two fractions, such that the denominator of these new fractions equals the LCM value.&nbsp;<\/p>\n\n\n\n<p>We do this by multiplying and dividing both numerator and denominator by an appropriate number.<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Now that we have two like fractions (which are basically the equivalent fractions of the original fractions), we follow the steps for subtracting like fractions.<\/p>\n\n\n\n<p><strong>Example 1:<\/strong> Let\u2019s recall the real-life example we discussed. You need to add $\\frac{3}{4}$ cups of water in a curry. You have added $\\frac{1}{2}$ a cup of water. Subtract $\\frac{1}{2}$ from $\\frac{3}{4}$ to find the amount of water you still need to add as per the curry recipe.<\/p>\n\n\n\n<p>i) Note that subtracting $\\frac{1}{2}$ from $\\frac{3}{4}$ means finding the value of $\\frac{3}{4} &#8211; \\frac{1}{2}$.<\/p>\n\n\n\n<p>$\\frac{1}{2}$ from $\\frac{3}{4}$ are unlike fractions since the denominators are not equal.<\/p>\n\n\n\n<p>Let\u2019s find the common denominator.<\/p>\n\n\n\n<p>LCM(2, 4) = 4<\/p>\n\n\n\n<p>ii) We need to find the equivalent fractions of $\\frac{1}{2}$ from $\\frac{3}{4}$ whose denominator is 4.<\/p>\n\n\n\n<p>$\\frac{1}{2} = \\frac{1 \\times 2}{2 \\times 2} = \\frac{2}{4}$<\/p>\n\n\n\n<p>The denominator of $\\frac{3}{4}$ is already 4.<\/p>\n\n\n\n<p>iii) Now, we have $\\frac{2}{4}$ and $\\frac{3}{4}$, which are like fractions.<\/p>\n\n\n\n<p>Thus, we redefine the problem as<\/p>\n\n\n\n<p>\u00a0$\\frac{3}{4} &#8211; \\frac{1}{2} = \\frac{3}{4} &#8211; \\frac{2}{4} = \\frac{3 &#8211; 2}{4} = \\frac{1}{4}$<\/p>\n\n\n\n<p>This, means that you still need to add $\\frac{1}{4}$ cup of water in the curry.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"293\" height=\"263\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/subtracting-unlike-fractions-3-by-4-and-1-by-2-visual-explanation.png\" alt=\"Subtracting unlike fractions \u00be and \u00bd - visual explanation\" class=\"wp-image-36772\" title=\"Subtracting unlike fractions \u00be and \u00bd - visual explanation\"\/><\/figure>\n\n\n\n<p><strong>Example 2:<\/strong> Subtract $\\frac{1}{3}$ from $\\frac{2}{5}$.\u00a0<\/p>\n\n\n\n<p>LCM of 3 and 5 = 15.<\/p>\n\n\n\n<p>$\\frac{2}{5} = \\frac{2 \\times 3}{5 \\times 3} = \\frac{6}{15}$<\/p>\n\n\n\n<p>$\\frac{1}{3} = \\frac{1 \\times 3}{3 \\times 3} = \\frac{5}{15}$<\/p>\n\n\n\n<p>$\\frac{2}{5} &#8211; \\frac{1}{3} = \\frac{6}{15} &#8211; \\frac{5}{15} = \\frac{1}{15}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-subtracting-mixed-fractions\">Subtracting Mixed Fractions<\/h2>\n\n\n\n<p>A mixed fraction is a fraction that is composed of a whole number and a proper fraction.&nbsp;<\/p>\n\n\n\n<p>For example, $2\\frac{4}{5}$ is a mixed fraction.\u00a0<\/p>\n\n\n\n<p>Each mixed fraction represents a unique improper fraction. Thus, we can always convert a mixed fraction into an improper fraction, and vice versa. This is one of the easiest methods for subtracting mixed fractions.&nbsp;<\/p>\n\n\n\n<p>Here\u2019s how we convert a mixed fraction into an improper fraction.<\/p>\n\n\n\n<p>$q\\frac{n}{d} = \\frac{qd + n}{n}$<\/p>\n\n\n\n<p>For example, $2\\frac{4}{5} = \\frac{(2 \\times 5) + 4}{5} = \\frac{14}{5}$<\/p>\n\n\n\n<p><strong>Example:<\/strong> Subtract $7\\frac{1}{3}$ from $12\\frac{1}{2}$.\u00a0\u00a0\u00a0<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Convert the mixed fractions into the improper fraction.<\/p>\n\n\n\n<p>$12\\frac{1}{2} = \\frac{(2 \\times 12) + 1}{2} = \\frac{25}{2}$<\/p>\n\n\n\n<p>$7\\frac{1}{3} = \\frac{(3 \\times 7) + 1}{3} = \\frac{22}{3}$<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Check the denominator values of the resulting fractions.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the denominators are equal, follow the steps of subtracting fractions with like or same denominators.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the denominators are not equal, follow the steps of subtracting fractions with unlike denominators.<\/li>\n<\/ul>\n\n\n\n<p>In this case, the fractions are unlike.<\/p>\n\n\n\n<p>LCM of 2 and 3 is 6.&nbsp;<\/p>\n\n\n\n<p>$\\frac{25 \\times 3}{2 \\times 3} = \\frac{75}{6}$<\/p>\n\n\n\n<p>$\\frac{22 \\times 2}{3 \\times 2} = \\frac{44}{6}$<\/p>\n\n\n\n<p>$12\\frac{1}{2} &#8211; 7\\frac{1}{3} = \\frac{75}{6} &#8211; \\frac{44}{6} = \\frac{31}{6} = 5\\frac{1}{6}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-subtracting-fractions-and-whole-numbers\">Subtracting Fractions and Whole Numbers<\/h2>\n\n\n\n<p>We can represent any whole number as a fraction with denominator 1. For example, $5 = \\frac{5}{1}$.<\/p>\n\n\n\n<p>So, when subtracting fractions from whole numbers, or when subtracting whole numbers from fractions, we first express the whole number as a fraction.&nbsp;<\/p>\n\n\n\n<p><strong>Example:<\/strong> Katherine walks 3 miles to the school. She has already walked $\\frac{1}{3}$ km. To determine, the distance she still needs to cover, we will subtract $\\frac{1}{3}$ from 3.\u00a0<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Convert the whole number into the fractional form.<\/p>\n\n\n\n<p>$3 = \\frac{3}{1}$\u00a0<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Subtract the two unlike fractions. Write the resulting fraction as a mixed fraction, if necessary.<\/p>\n\n\n\n<p>The LCM of 1 and 3 is 3.<\/p>\n\n\n\n<p>$\\frac{3}{1} = \\frac{9}{3}$<\/p>\n\n\n\n<p>We get<\/p>\n\n\n\n<p>$\\frac{9}{3} &#8211; \\frac{1}{3} = \\frac{9 &#8211; 1}{3} = \\frac{8}{3} = 2\\frac{2}{3}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-subtracting-fractions\">Facts about Subtracting Fractions<\/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=\"wp-block-list\">\n<li>Common denominator is the important concept when subtracting two fractions with different denominators. It is a shared multiple of two denominators.&nbsp;<\/li>\n\n\n\n<li>You can also subtract the mixed fractions without converting them into the improper fractions. Subtract the whole numbers and fractions separately and combine the results.<\/li>\n\n\n\n<li>Example: $5\\frac{2}{5} &#8211; 2\\frac{1}{5} = (5 &#8211; 2) + (\\frac{2}{5} &#8211; \\frac{1}{5}) = 3 + \\frac{1}{5} = 3\\frac{1}{5}$<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about subtracting fractions, methods of subtracting fractions for different types of fractions, and examples. Let\u2019s solve a few more examples, and practice MCQs based on subtracting fractions.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-subtracting-fractions\">Solved Examples on Subtracting Fractions<\/h2>\n\n\n\n<p><strong>1. Jenny had <\/strong>$\\frac{2}{3}$<strong> of a whole pizza and offered the remaining pizza to his sister. What part did her sister get?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Part of pizza Jerry had $= \\frac{2}{3}$\u00a0<\/p>\n\n\n\n<p>Part of pizza his sister got $= 1 &#8211; \\frac{2}{3} = \\frac{1}{1} &#8211; \\frac{2}{3}$<\/p>\n\n\n\n<p>LCM of 1 and 3 is 3.<\/p>\n\n\n\n<p>We get<\/p>\n\n\n\n<p>$\\frac{3}{3} &#8211; \\frac{2}{3} = \\frac{1}{3}$<\/p>\n\n\n\n<p>Jenny\u2019s sister got one-third of the pizza.&nbsp;<\/p>\n\n\n\n<p><strong>2. Find: <\/strong>$\\frac{4}{5} &#8211; \\frac{2}{5}$<strong>.\u00a0<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Denominators are equal.&nbsp;<\/p>\n\n\n\n<p>Fractions are like fractions.<\/p>\n\n\n\n<p>$\\frac{4}{5} &#8211; \\frac{2}{5} = \\frac{4 &#8211; 2}{5} = \\frac{2}{5}$<\/p>\n\n\n\n<p><strong>3. Subtract <\/strong>$5\\frac{2}{5}$<strong> from <\/strong>$6\\frac{1}{3}$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;&nbsp;<\/p>\n\n\n\n<p>We have to find $6\\frac{1}{3} &#8211; 5\\frac{2}{5}$<strong>.<\/strong><\/p>\n\n\n\n<p>Converting into improper fractions, we get<\/p>\n\n\n\n<p>$6\\frac{1}{3} = \\frac{19}{3}$<\/p>\n\n\n\n<p>$5\\frac{2}{5} = \\frac{27}{5}$<\/p>\n\n\n\n<p>We can rewrite the given problem as<\/p>\n\n\n\n<p>$6\\frac{1}{3} &#8211; 5\\frac{2}{5} = \\frac{19}{3} &#8211; \\frac{27}{5}$<\/p>\n\n\n\n<p>LCM of 3 and 5 = 15<\/p>\n\n\n\n<p>$\\frac{19 \\times 5}{3 \\times 5} = \\frac{95}{15}$<strong> <\/strong>and $\\frac{27 \\times 3}{5 \\times 3} = \\frac{81}{15}$<\/p>\n\n\n\n<p>$\\frac{95}{15} &#8211; \\frac{81}{15} = \\frac{14}{15}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-subtracting-fractions\">Practice Problems on Subtracting Fractions<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Subtracting Fractions - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">$1 - \\frac{1}{5} - \\frac{2}{5} =$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{1}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{2}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{3}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{4}{5}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{2}{5}$<br\/>$1 - \\frac{1}{5} - \\frac{2}{5}$<br>\r\n$= \\frac{2}{5}$<br>\r\n$= \\frac{5}{5} - \\frac{1}{5} - \\frac{2}{5}$<br>\r\n$= \\frac{5 - 1 - 2}{5}$<br>\r\n$= \\frac{2}{5}$<\/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\">Find $\\frac{5}{6} - \\frac{9}{11}$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{1}{66}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{1}{33}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{4}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{-4}{66}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{1}{66}$<br\/>LCM(6, 11) = 66<br>\r\n$\\frac{5}{6} = \\frac{55}{66}$ and $\\frac{9}{11} = \\frac{54}{66}$.<br>\r\nDifference $= \\frac{55}{66} - \\frac{54}{66} = \\frac{1}{66}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">$5\\frac{7}{12} - 2\\frac{3}{4} =$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{10}{12}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$3\\frac{1}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$2\\frac{5}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$2\\frac{5}{12}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $2\\frac{5}{6}$<br\/> $5\\frac{7}{12} - 2\\frac{3}{4} = \\frac{67}{12} - \\frac{11}{4}$<br>\r\nLCM(12, 4) = 12<br>\r\n$\\frac{67}{12} - \\frac{11}{4} = \\frac{67}{12} - \\frac{33}{12} = \\frac{67-33}{12} = \\frac{34}{12} = \\frac{17}{6} = 2\\frac{5}{6}$<\/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\">Subtract the fractions visually.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{7}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{4}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{3}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{1}{8}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{1}{8}$<br\/>$\\frac{5}{8} - \\frac{4}{8} = \\frac{1}{8}$<\/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\": \"Subtracting Fractions - Definition With Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Subtracting Fractions\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$1 - \\\\frac{1}{5} - \\\\frac{2}{5} =$$\",\n                    \"text\": \"$$1 - \\\\frac{1}{5} - \\\\frac{2}{5} =$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$1 - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5}{5} - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5 - 1 - 2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$1 - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5}{5} - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5 - 1 - 2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$1 - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5}{5} - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5 - 1 - 2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{4}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$1 - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5}{5} - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5 - 1 - 2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{2}{5}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$1 - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5}{5} - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5 - 1 - 2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$1 - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5}{5} - \\\\frac{1}{5} - \\\\frac{2}{5}$$<br>\r\n$$= \\\\frac{5 - 1 - 2}{5}$$<br>\r\n$$= \\\\frac{2}{5}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find $$\\\\frac{5}{6} - \\\\frac{9}{11}$$.\",\n                    \"text\": \"Find $$\\\\frac{5}{6} - \\\\frac{9}{11}$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"LCM(6, 11) = 66<br>\r\n$$\\\\frac{5}{6} = \\\\frac{55}{66}$$ and $$\\\\frac{9}{11} = \\\\frac{54}{66}$$.<br>\r\nDifference $$= \\\\frac{55}{66} - \\\\frac{54}{66} = \\\\frac{1}{66}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{33}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"LCM(6, 11) = 66<br>\r\n$$\\\\frac{5}{6} = \\\\frac{55}{66}$$ and $$\\\\frac{9}{11} = \\\\frac{54}{66}$$.<br>\r\nDifference $$= \\\\frac{55}{66} - \\\\frac{54}{66} = \\\\frac{1}{66}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{4}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"LCM(6, 11) = 66<br>\r\n$$\\\\frac{5}{6} = \\\\frac{55}{66}$$ and $$\\\\frac{9}{11} = \\\\frac{54}{66}$$.<br>\r\nDifference $$= \\\\frac{55}{66} - \\\\frac{54}{66} = \\\\frac{1}{66}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{-4}{66}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"LCM(6, 11) = 66<br>\r\n$$\\\\frac{5}{6} = \\\\frac{55}{66}$$ and $$\\\\frac{9}{11} = \\\\frac{54}{66}$$.<br>\r\nDifference $$= \\\\frac{55}{66} - \\\\frac{54}{66} = \\\\frac{1}{66}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{66}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"LCM(6, 11) = 66<br>\r\n$$\\\\frac{5}{6} = \\\\frac{55}{66}$$ and $$\\\\frac{9}{11} = \\\\frac{54}{66}$$.<br>\r\nDifference $$= \\\\frac{55}{66} - \\\\frac{54}{66} = \\\\frac{1}{66}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"LCM(6, 11) = 66<br>\r\n$$\\\\frac{5}{6} = \\\\frac{55}{66}$$ and $$\\\\frac{9}{11} = \\\\frac{54}{66}$$.<br>\r\nDifference $$= \\\\frac{55}{66} - \\\\frac{54}{66} = \\\\frac{1}{66}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$5\\\\frac{7}{12} - 2\\\\frac{3}{4} =$$\",\n                    \"text\": \"$$5\\\\frac{7}{12} - 2\\\\frac{3}{4} =$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \" $$5\\\\frac{7}{12} - 2\\\\frac{3}{4} = \\\\frac{67}{12} - \\\\frac{11}{4}$$<br>\r\nLCM(12, 4) = 12<br>\r\n$$\\\\frac{67}{12} - \\\\frac{11}{4} = \\\\frac{67}{12} - \\\\frac{33}{12} = \\\\frac{67-33}{12} = \\\\frac{34}{12} = \\\\frac{17}{6} = 2\\\\frac{5}{6}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{10}{12}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \" $$5\\\\frac{7}{12} - 2\\\\frac{3}{4} = \\\\frac{67}{12} - \\\\frac{11}{4}$$<br>\r\nLCM(12, 4) = 12<br>\r\n$$\\\\frac{67}{12} - \\\\frac{11}{4} = \\\\frac{67}{12} - \\\\frac{33}{12} = \\\\frac{67-33}{12} = \\\\frac{34}{12} = \\\\frac{17}{6} = 2\\\\frac{5}{6}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3\\\\frac{1}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \" $$5\\\\frac{7}{12} - 2\\\\frac{3}{4} = \\\\frac{67}{12} - \\\\frac{11}{4}$$<br>\r\nLCM(12, 4) = 12<br>\r\n$$\\\\frac{67}{12} - \\\\frac{11}{4} = \\\\frac{67}{12} - \\\\frac{33}{12} = \\\\frac{67-33}{12} = \\\\frac{34}{12} = \\\\frac{17}{6} = 2\\\\frac{5}{6}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\\\\frac{5}{12}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \" $$5\\\\frac{7}{12} - 2\\\\frac{3}{4} = \\\\frac{67}{12} - \\\\frac{11}{4}$$<br>\r\nLCM(12, 4) = 12<br>\r\n$$\\\\frac{67}{12} - \\\\frac{11}{4} = \\\\frac{67}{12} - \\\\frac{33}{12} = \\\\frac{67-33}{12} = \\\\frac{34}{12} = \\\\frac{17}{6} = 2\\\\frac{5}{6}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$2\\\\frac{5}{6}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \" $$5\\\\frac{7}{12} - 2\\\\frac{3}{4} = \\\\frac{67}{12} - \\\\frac{11}{4}$$<br>\r\nLCM(12, 4) = 12<br>\r\n$$\\\\frac{67}{12} - \\\\frac{11}{4} = \\\\frac{67}{12} - \\\\frac{33}{12} = \\\\frac{67-33}{12} = \\\\frac{34}{12} = \\\\frac{17}{6} = 2\\\\frac{5}{6}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \" $$5\\\\frac{7}{12} - 2\\\\frac{3}{4} = \\\\frac{67}{12} - \\\\frac{11}{4}$$<br>\r\nLCM(12, 4) = 12<br>\r\n$$\\\\frac{67}{12} - \\\\frac{11}{4} = \\\\frac{67}{12} - \\\\frac{33}{12} = \\\\frac{67-33}{12} = \\\\frac{34}{12} = \\\\frac{17}{6} = 2\\\\frac{5}{6}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Subtract the fractions visually.\",\n                    \"text\": \"Subtract the fractions visually.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\frac{5}{8} - \\\\frac{4}{8} = \\\\frac{1}{8}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{7}{8}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{5}{8} - \\\\frac{4}{8} = \\\\frac{1}{8}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{4}{8}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{5}{8} - \\\\frac{4}{8} = \\\\frac{1}{8}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{8}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{5}{8} - \\\\frac{4}{8} = \\\\frac{1}{8}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{8}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\frac{5}{8} - \\\\frac{4}{8} = \\\\frac{1}{8}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\frac{5}{8} - \\\\frac{4}{8} = \\\\frac{1}{8}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-about-subtracting-fractions\">Frequently Asked Questions about Subtracting Fractions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-a67a99e1-0b97-4c04-8ed7-c3dcc33fe502\" 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-a67a99e1-0b97-4c04-8ed7-c3dcc33fe502\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a67a99e1-0b97-4c04-8ed7-c3dcc33fe502\"><strong>Do the numerators must be the same while subtracting 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-a67a99e1-0b97-4c04-8ed7-c3dcc33fe502\">\n\n<p>While subtracting two or more fractions, the denominator must be the same otherwise we can not subtract the fractions with unlike denominators.<\/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-a67a99e1-0b97-4c04-8ed7-c3dcc33fe502\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a67a99e1-0b97-4c04-8ed7-c3dcc33fe502\"><strong>Why do we make denominators the same when subtracting 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-1-a67a99e1-0b97-4c04-8ed7-c3dcc33fe502\">\n\n<p>The denominator represents the total number of \u201cequal parts\u201d the whole is divided into. To define a fraction, the whole must be divided into equal number of parts. So, in order to define the resulting fraction after subtraction, we must have equal divisions of the whole. So, the denominators of two fractions must be the same.<\/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-a67a99e1-0b97-4c04-8ed7-c3dcc33fe502\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a67a99e1-0b97-4c04-8ed7-c3dcc33fe502\"><strong>Can the difference of two fractions be negative?<\/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-a67a99e1-0b97-4c04-8ed7-c3dcc33fe502\">\n\n<p>If you subtract a larger fraction from a smaller fraction, the difference will be negative.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Does \u201cSubtracting Fractions\u201d Mean? Subtracting fractions is finding the difference between the two or more fractions with the same or different denominators.&nbsp; Subtracting like fractions (fractions with same denominators) is a simple and straightforward process, but in order to subtract unlike fractions (fractions with different denominators), we first need to make the denominators the &#8230; <a title=\"Subtracting Fractions &#8211; Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/subtracting-fractions\" aria-label=\"More on Subtracting Fractions &#8211; Definition With Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1694","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\/1694","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=1694"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1694\/revisions"}],"predecessor-version":[{"id":36782,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1694\/revisions\/36782"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1694"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1694"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1694"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}