{"id":32299,"date":"2023-07-24T07:20:43","date_gmt":"2023-07-24T07:20:43","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=32299"},"modified":"2023-07-24T08:50:29","modified_gmt":"2023-07-24T08:50:29","slug":"addition-and-subtraction-of-fraction-methods-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/addition-and-subtraction-of-fractions","title":{"rendered":"Addition and Subtraction of Fraction: Methods, Examples, Facts, FAQs"},"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-b358391a-e200-4c46-9a40-bb5ba48700c7\" 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\/addition-and-subtraction-of-fractions#0-what-is-addition-and-subtraction-of-fractions>What Is Addition and Subtraction of Fractions?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/addition-and-subtraction-of-fractions#1-methods-of-addition-and-subtraction-of-fractions>Methods of Addition and Subtraction of Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/addition-and-subtraction-of-fractions#4-addition-and-subtraction-of-mixed-numbers>Addition and Subtraction of Mixed Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/addition-and-subtraction-of-fractions#7-solved-examples-on-addition-and-subtraction-of-fractions>Solved Examples on Addition and Subtraction of Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/addition-and-subtraction-of-fractions#8-practice-problems-on-addition-and-subtraction-of-fractions>Practice Problems on Addition and Subtraction of Fractions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/addition-and-subtraction-of-fractions#9-frequently-asked-questions-on-addition-and-subtraction-of-fractions>Frequently Asked Questions on Addition and Subtraction of Fractions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-addition-and-subtraction-of-fractions\">What Is Addition and Subtraction of Fractions?<\/h2>\n\n\n\n<p>Addition and subtraction of fractions are the fundamental operations on fractions that can be studied easily using two cases:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Addition and subtraction of like fractions (fractions with same denominators)<\/li>\n\n\n\n<li>Addition and subtraction of unlike fractions (fractions with different denominators)<\/li>\n<\/ul>\n\n\n\n<p>A <a href=\"https:\/\/www.google.com\/search?q=https%3A%2F%2Fwww.splashlearn.com%2Fmath-vocabulary%2F+fractions&amp;ei=obBsZLieAvuaseMPr7m56A0&amp;ved=0ahUKEwj48pTRt4v_AhV7TWwGHa9cDt0Q4dUDCA8&amp;uact=5&amp;oq=https%3A%2F%2Fwww.splashlearn.com%2Fmath-vocabulary%2F+fractions&amp;gs_lcp=Cgxnd3Mtd2l6LXNlcnAQAzIFCAAQogQyBQgAEKIEMgUIABCiBDoKCAAQRxDWBBCwAzoICAAQiQUQogQ6BQghEKABOgcIIRCgARAKSgQIQRgAUOYDWPEMYI0PaAFwAXgAgAH9AYgBlwySAQUwLjguMZgBAKABAcgBB8ABAQ&amp;sclient=gws-wiz-serp#:~:text=What%20is%20a,math%2Dvocabulary%20%E2%80%BA%20frac...\">fraction<\/a> represents parts of a whole. For example, the fraction 37 represents 3 parts out of 7 equal parts of a whole. Here, 3 is the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\">numerator<\/a> and it represents the number of parts taken. 7 is the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\">denominator<\/a> and it represents the total number of parts of the whole.<\/p>\n\n\n\n<p>Adding and subtracting fractions is simple and straightforward when it comes to like fractions. In the case of unlike fractions, we first need to make the denominators the same. Let\u2019s take a closer look at both these cases.<\/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-numbers-using-column-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_num_2_pt.png\" alt=\"Add Numbers Using Column Addition 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 Numbers Using Column Addition 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\/addition-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_1d_vertical_pt.png\" alt=\"Addition By Regrouping 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\">Addition By Regrouping 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-methods-of-addition-and-subtraction-of-fractions\">Methods of Addition and Subtraction of Fractions<\/h2>\n\n\n\n<p>Before adding and subtracting fractions, we first need to make sure that the fractions have the same denominators.&nbsp;<\/p>\n\n\n\n<p>When the denominators are the same, we simply add the numerators and keep the denominator as it is. To add or subtract unlike fractions, we first need to learn how to make the denominators alike. Let\u2019s learn how to add fractions and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/subtracting-fractions\">how to subtract fractions<\/a> in both cases.<\/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\/1-and-2-more-within-10-horizontal-addition\" 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\/1-and-2-more-within-10-horizontal-addition.jpeg\" alt=\"1 and 2 more within 10: Horizontal Addition 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\/1-and-2-more-within-10-vertical-addition\" 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\/1-and-2-more-within-10-vertical-addition.jpeg\" alt=\"1 and 2 more within 10: Vertical Addition 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\/1-and-2-more-within-20-horizontal-addition\" 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\/1-and-2-more-within-20-horizontal-addition.jpeg\" alt=\"1 and 2 more within 20: Horizontal Addition 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\/1-and-2-more-within-20-vertical-addition\" 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\/1-and-2-more-within-20-vertical-addition.jpeg\" alt=\"1 and 2 more within 20: Vertical Addition 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-1-digit-and-3-digit-numbers-using-addition-tables\" 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-1-digit-and-3-digit-numbers-using-addition-tables.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Tables\">\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-1-digit-and-3-digit-numbers-using-addition-wheel\" 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-1-digit-and-3-digit-numbers-using-addition-wheel.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Wheel\">\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-1-within-10-horizontal-addition\" 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-1-within-10-horizontal-addition.jpeg\" alt=\"Add 1 within 10: Horizontal Addition 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-1-within-10-vertical-addition\" 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-1-within-10-vertical-addition.jpeg\" alt=\"Add 1 within 10: Vertical Addition 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-1-within-20-horizontal-addition\" 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-1-within-20-horizontal-addition.jpeg\" alt=\"Add 1 within 20: Horizontal Addition 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 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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-addition-and-subtraction-of-like-fractions\">Addition and Subtraction of Like Fractions<\/h2>\n\n\n\n<p>The rules for adding fractions with the same denominator are really simple and straightforward.&nbsp;<\/p>\n\n\n\n<p>Let\u2019s learn with the help of examples and visual bar models.<\/p>\n\n\n\n<p><strong>Addition of Like Fractions<\/strong><\/p>\n\n\n\n<p>Here are the steps to add fractions with the same denominator:<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Add the numerators of the given fractions.&nbsp;<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Keep the denominator the same.&nbsp;<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Simplify.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p>$\\frac{a}{c} + \\frac{b}{c} = \\frac{a + b}{c}$\u00a0 \u2026$c \\neq 0$<\/p>\n\n\n\n<p><strong>Example 1: Find <\/strong>$\\frac{1}{4} + \\frac{2}{4}$<strong>.<\/strong><\/p>\n\n\n\n<p>$\\frac{1}{4} + \\frac{2}{4} = \\frac{1 + 2}{4} = \\frac{3}{4}$<\/p>\n\n\n\n<p>We can visualize this addition using a bar model:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"513\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/addition-of-fractions-with-same-denominators.png\" alt=\"Visual representation of the fractions\" class=\"wp-image-32308\" title=\"Visual representation of the fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/addition-of-fractions-with-same-denominators.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/addition-of-fractions-with-same-denominators-300x248.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Example 2: <\/strong>$\\frac{1}{8} + \\frac{3}{8} = \\frac{1 + 3}{8} = \\frac{4}{8} = \\frac{1}{2}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"439\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/addition-of-like-fractions-visual.png\" alt=\"Visual model of addition of like fractions\" class=\"wp-image-32310\" title=\"Visual model of addition of like fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/addition-of-like-fractions-visual.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/addition-of-like-fractions-visual-300x212.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Example 3:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"440\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/adding-fractions-visually.png\" alt=\"Adding fractions with like denominators\" class=\"wp-image-32311\" title=\"Adding fractions with like denominators\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/adding-fractions-visually.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/adding-fractions-visually-300x213.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Subtraction of Like Fractions<\/strong><\/p>\n\n\n\n<p>Here are the steps to subtract fractions with the same denominator:<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Subtract the numerators of the given fractions.&nbsp;<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Keep the denominator the same.&nbsp;<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Simplify.&nbsp;<\/p>\n\n\n\n<p>$\\frac{a}{c}\\;-\\;\\frac{b}{c} = \\frac{a \\;-\\; b}{c}$ \u2026$c \\neq 0$<\/p>\n\n\n\n<p><strong>Example 1: Find <\/strong>$\\frac{4}{6} \\;-\\; \\frac{1}{6}$.<\/p>\n\n\n\n<p>$\\frac{4}{6}\\;-\\;\\frac{1}{6} = \\frac{4-1}{6} = \\frac{3}{6} = \\frac{1}{2}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"328\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/subtraction-of-like-fractions-visual.png\" alt=\"Subtracting fractions with the same denominators\" class=\"wp-image-32312\" title=\"Subtracting fractions with the same denominators\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/subtraction-of-like-fractions-visual.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/subtraction-of-like-fractions-visual-300x159.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Example 2:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"512\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/subtractiong-fractions-with-same-denominators-visual.png\" alt=\"Subtraction of like fractions 3\/4 and 2\/4 - visual model\" class=\"wp-image-32313\" title=\"Subtraction of like fractions 3\/4 and 2\/4 - visual model\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/subtractiong-fractions-with-same-denominators-visual.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/subtractiong-fractions-with-same-denominators-visual-300x248.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-addition-and-subtraction-of-unlike-fractions\">Addition and Subtraction of Unlike Fractions<\/h2>\n\n\n\n<p>Addition and subtraction of fractions with unlike denominators can be a little bit tricky since the denominators are not the same. So, we need to first convert the unlike fractions into like fractions. Let\u2019s look at a few ways to do this!<\/p>\n\n\n\n<p><strong>Addition of Unlike Fractions<\/strong><\/p>\n\n\n\n<p>We can make the denominators the same by finding the LCM of the two denominators. Once we calculate the LCM, we multiply both the numerator and the denominator with an appropriate number so that we get the LCM value in the denominator.&nbsp;<\/p>\n\n\n\n<p><strong>Example: <\/strong>$\\frac{3}{5} + \\frac{3}{2}$<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Find the LCM (Least Common Multiple) of the two denominators.<\/p>\n\n\n\n<p>The LCM of 5 and 2 is 10.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Convert both the fractions into like fractions by making the denominators same.<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p>$\\frac{3 \\times 2}{5 \\times 2} = \\frac{6}{10}$\u00a0\u00a0<\/p>\n\n\n\n<p>$\\frac{3 \\times 5}{2 \\times 5} = \\frac{15}{10}$<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Add the numerators. The denominator stays the same.<\/p>\n\n\n\n<p>$\\frac{6}{10} + \\frac{15}{10} = \\frac{21}{10}$<\/p>\n\n\n\n<p><strong>Step 4: <\/strong>Convert the resultant fraction to its simplest form if the GCF of the numerator and denominator is not 1.&nbsp;<\/p>\n\n\n\n<p>In this case, GCF (21,10) $= 1$<\/p>\n\n\n\n<p>The fraction $\\frac{21}{10}$ is already in its simplest form.\u00a0<\/p>\n\n\n\n<p>Thus, $\\frac{3}{5} + \\frac{3}{2} = \\frac{21}{10}$<\/p>\n\n\n\n<p><strong>Subtraction of Unlike Fractions<\/strong><\/p>\n\n\n\n<p>Let\u2019s learn how to subtract fractions when denominators are not the same. To subtract unlike fractions, we use the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/least-common-multiple\">LCM<\/a> method. The process is similar to what we discussed in the previous example.<\/p>\n\n\n\n<p><strong>Example: <\/strong>$\\frac{5}{6} \\;-\\; \\frac{2}{9}$<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Find the LCM of the two denominators.<\/p>\n\n\n\n<p>LCM of 6 and $9 = 18$<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Convert both the fractions into like fractions by making the denominators same.<\/p>\n\n\n\n<p>$\\frac{5 \\times 3}{6 \\times 3} = \\frac{15}{18}$\u00a0\u00a0\u00a0<\/p>\n\n\n\n<p>$\\frac{2 \\times 2}{9 \\times 2} = \\frac{4}{18}$<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Subtract the numerators. The denominator stays the same.<\/p>\n\n\n\n<p>$\\frac{15}{18} \\;-\\; \\frac{4}{18} = \\frac{11}{18}$<\/p>\n\n\n\n<p><strong>Step 4: <\/strong>Convert the resultant fraction to its simplest form if the GCF of the numerator and denominator is not 1.&nbsp;<\/p>\n\n\n\n<p>In this case, the GCF (11,18) $= 1$<\/p>\n\n\n\n<p>So, it is already in its simplest form.&nbsp;<\/p>\n\n\n\n<p>Thus, $\\frac{5}{6}\\;-\\; 29 = \\frac{11}{18}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-addition-and-subtraction-of-mixed-numbers\">Addition and Subtraction of Mixed Numbers<\/h2>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/mixed-number\">mixed number<\/a> is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/types-of-fractions\">type of fraction<\/a> that has two parts: a whole number and a proper fraction. It is also known as a mixed fraction. Any mixed number can be written in the form of an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/improper-fraction\">improper fraction<\/a> and vice-versa.&nbsp;<\/p>\n\n\n\n<p>Adding and subtracting mixed fractions is done by converting <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/mixed-number-to-improper-fraction\">mixed numbers into improper fractions<\/a>.<\/p>\n\n\n\n<p><strong>Addition and Subtraction of Mixed Fractions with Same Denominators<\/strong><\/p>\n\n\n\n<p>The steps of adding and subtracting mixed numbers with the same denominators are the same. The only difference is the operation.<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Convert the given mixed fractions to improper fractions.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Add\/Subtract the like fractions obtained in step 1.<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Reduce the fraction to its simplest form.<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Convert the resulting fraction into a mixed number.<\/p>\n\n\n\n<p><strong>Example 1: <\/strong>$2\\frac{1}{5} + 1\\frac{3}{5}$<\/p>\n\n\n\n<p>$2\\frac{1}{5} = \\frac{(5 \\times 2) + 1}{5} = \\frac{11}{5}$<\/p>\n\n\n\n<p>$1\\frac{3}{5} = \\frac{(5 \\times 1) + 3}{5} = \\frac{8}{5}$<\/p>\n\n\n\n<p>Thus,<strong> <\/strong>$2\\frac{1}{5} + 1\\frac{3}{5} = \\frac{11}{5} + \\frac{8}{5} = \\frac{19}{5}$<\/p>\n\n\n\n<p>Converting $\\frac{19}{5}$<strong> <\/strong>into a mixed number, we get<\/p>\n\n\n\n<p>$\\frac{19}{5} = 3\\frac{4}{5}$<\/p>\n\n\n\n<p><strong>Example 2:<\/strong> $2\\frac{1}{5} + 1\\frac{3}{5} = \\frac{11}{5} \\;-\\; \\frac{8}{5} = \\frac{3}{5}$<\/p>\n\n\n\n<p><strong>Addition and Subtraction of Mixed Fractions with Unlike Denominators<\/strong><\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Convert the given mixed fractions to improper fractions.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Convert both the fractions into like fractions by finding the least common denominator.<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Add the fractions. (or subtract the fractions.)<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Reduce the fraction if possible or convert back to a mixed number&nbsp;<\/p>\n\n\n\n<p>Let us understand the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/adding-mixed-numbers\">addition of mixed numbers with unlike denominators<\/a> with the help of an example.<\/p>\n\n\n\n<p><strong>Example 1: <\/strong>Find the value of<strong> <\/strong>$1\\frac{3}{5} + 2\\frac{1}{2}$.<\/p>\n\n\n\n<p>Convert the given mixed fractions to improper fractions.<\/p>\n\n\n\n<p>$1\\frac{3}{5} = \\frac{8}{5}$ and $2\\frac{1}{2} = \\frac{5}{2}$<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Convert both the fractions into like fractions by making the denominators the same.<\/p>\n\n\n\n<p>Here, LCM of 5 and 2 is 10.<\/p>\n\n\n\n<p>Thus, $\\frac{8 \\times 2}{5 \\times 2} = \\frac{16}{10}$ and $\\frac{5\\times 5}{2 \\times 5} = \\frac{25}{10}$<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Add the fractions by adding the numerators.<\/p>\n\n\n\n<p>$\\frac{16}{10} + \\frac{25}{10} = \\frac{41}{10}$<\/p>\n\n\n\n<p><strong>Step 4: <\/strong>Convert back into a mixed number.&nbsp;<\/p>\n\n\n\n<p>Thus, $\\frac{41}{10}$ will become\u00a0 $4\\frac{1}{10}$<\/p>\n\n\n\n<p>Therefore, $1\\frac{3}{5} + 2\\frac{1}{2} =\u00a0 4\\frac{1}{10}$<\/p>\n\n\n\n<p>Here\u2019s an example for subtraction. It follows the same steps.<\/p>\n\n\n\n<p><strong>Example 2<\/strong>: $6\\frac{1}{2} \\;-\\; 1\\frac{3}{4}$<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Convert the mixed numbers into improper fractions.<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0$6\\frac{1}{2} \\;-\\; 1\\frac{3}{4} = \\frac{13}{2} \\;-\\; \\frac{7}{4}$<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Make the denominators equal.<\/p>\n\n\n\n<p>LCM of 2 and 4 is 4.&nbsp;<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0$\\frac{13 \\times 2}{2 \\times 2} = \\frac{26}{4}$\u00a0<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Subtract the fractions.<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$\\frac{26}{4} \\;-\\;\u00a0 \\frac{7}{4} = \\frac{19}{4}$<\/p>\n\n\n\n<p><strong>Step 4: <\/strong>Convert the fraction as a mixed number.<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$\\frac{19}{4}\u00a0 = 4\\frac{3}{4}$\u00a0\u00a0<\/p>\n\n\n\n<p>Thus, $6\\frac{1}{2} \\;-\\; 1\\frac{3}{4}\u00a0 = \u00a0 4\\frac{3}{4}$\u00a0\u00a0<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-facts-about-addition-and-subtraction-of-fractions\">Facts about Addition and Subtraction of 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>We cannot add or subtract fractions without converting them into like fractions.<\/li>\n\n\n\n<li>Like fractions are fractions that have the same denominator, and unlike fractions are fractions that have different denominators.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/equivalent-fractions\">Equivalent fractions<\/a> are two different fractions that represent the same value.<\/li>\n\n\n\n<li>The LCD (least common denominator) of two fractions is the LCM of the denominators.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we have learned about addition and subtraction of fractions (like fractions, unlike fractions, mixed fractions), methods of addition and subtraction of these fractions along with the steps. Let&#8217;s solve some examples on adding and subtracting fractions to understand the concept better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-addition-and-subtraction-of-fractions\">Solved Examples on Addition and Subtraction of Fractions<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Solve: <\/strong>$\\frac{2}{4} + \\frac{1}{4}$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Here, the denominators are the same.<\/p>\n\n\n\n<p>Thus, we add the numerators by keeping the denominators as it is.<\/p>\n\n\n\n<p>$\\frac{2}{4} + \\frac{1}{4} = \\frac{2 + 1}{4}$\u00a0<\/p>\n\n\n\n<p>$\\frac{2}{4} + \\frac{1}{4} = \\frac{3}{4}$<\/p>\n\n\n\n<p><strong>2. Find the sum of the fractions <\/strong>$\\frac{3}{5}$<strong> and <\/strong>$\\frac{5}{2}$<strong> by using the LCM method.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>$\\frac{3}{5}$<strong> <\/strong>and<strong> <\/strong>$\\frac{5}{2}$ are unlike fractions.<\/p>\n\n\n\n<p>The LCM of 2 and 5 is 10.<\/p>\n\n\n\n<p>Thus, we can write<\/p>\n\n\n\n<p>$\\frac{3}{5} + \\frac{5}{2} = \\frac{3 \\times 2}{5 \\times 2} + \\frac{5 \\times 5}{2 \\times 5}$<\/p>\n\n\n\n<p>$= \\frac{6}{10} + \\frac{25}{10}$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= \\frac{6}{10} + \\frac{25}{10}$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= \\frac{31}{10}$<\/p>\n\n\n\n<p>Thus, $\\frac{3}{5} + \\frac{5}{2} =\u00a0 \\frac{31}{10}$<\/p>\n\n\n\n<p><strong>3. Find <\/strong>$\\frac{4}{16} + \\frac{5}{8}$.<\/p>\n\n\n\n<p><strong>Solution:&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<p>To add two fractions with different denominators, we first need to find the LCM of the denominators.<\/p>\n\n\n\n<p>The LCM of 16 and 8 is 16.<\/p>\n\n\n\n<p>Thus,<\/p>\n\n\n\n<p>$\\frac{4}{16} + \\frac{5}{8} = \\frac{4 \\times 1}{16\\times 1} + \\frac{5 \\times 2}{8 \\times 2}$\u00a0<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= \\frac{10}{16} + \\frac{4}{16}$\u00a0<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= \\frac{14}{16}$<\/p>\n\n\n\n<p>            $= \\frac{7}{8}$<\/p>\n\n\n\n<p><strong>4. From a rope <\/strong>$12\\frac{1}{2}$<strong> ft. long, a <\/strong>$7 \\frac{6}{8}\\;-$<strong>ft-long piece is cut off. Find the length of the remaining rope.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Total length of the rope $= 12\\frac{1}{2}$ ft.<\/p>\n\n\n\n<p>Length of the rope that was cut off $= 7 \\frac{6}{8}$ ft.\u00a0<\/p>\n\n\n\n<p>The length of the remaining rope $= 12\\frac{1}{2} \\;-\\; 7 \\frac{6}{8}$<\/p>\n\n\n\n<p>$12\\frac{1}{2} \\;-\\; 7 \\frac{6}{8} = \\frac{25}{2} \\;-\\; \\frac{62}{8}$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= \\frac{25 \\times 4}{2 \\times 4} \\;-\\; \\frac{62 \\times 1}{8\\times 1}$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= \\frac{100}{8} \\;-\\; \\frac{62}{8}$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= \\frac{38}{8}$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= \\frac{19}{4}$<\/p>\n\n\n\n<p>Converting it into a mixed fraction, $\\frac{19}{4}$ becomes $4 \\frac{3}{4}$.<\/p>\n\n\n\n<p>Thus, the length of the remaining rope is $4\\frac{3}{4}$ ft.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-addition-and-subtraction-of-fractions\">Practice Problems on Addition and Subtraction of Fractions<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Addition and Subtraction of Fraction: Methods, Examples, Facts, FAQs<\/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\">Find $\\frac{2}{4} + \\frac{2}{4}$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2<\/div><div class=\"spq_answer_block\" data-value=\"1\">1<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{4}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{4}{16}$<\/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: 1<br\/>$\\frac{2}{4} + \\frac{2}{4} = \\frac{4}{4} = \\frac{1}{1} = 1$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">$\\frac{7}{24} + \\frac{5}{16} =$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{7}{8} + \\frac{5}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{7}{24} + \\frac{13}{24}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{23}{40} +  \\frac{29}{40}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{14}{48} + \\frac{15}{48}$<\/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: $\\frac{14}{48} + \\frac{15}{48}$<br\/>As the denominators are not the same, we first make denominators the same using the LCM method.<br>\r\n$\\frac{7 \\times 2}{24 \\times 2} + \\frac{5 \\times 3}{16 \\times 3} = \\frac{14}{48} + \\frac{15}{48}$<\/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 least common denominator of $\\frac{1}{2}$ and $\\frac{1}{3}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">4<\/div><div class=\"spq_answer_block\" data-value=\"1\">6<\/div><div class=\"spq_answer_block\" data-value=\"2\">8<\/div><div class=\"spq_answer_block\" data-value=\"3\">9<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 6<br\/>$\\frac{1}{2}$ and $\\frac{1}{3}$ have different denominators. Thus, to make it the same, we find LCM of 2 and 3.<br>\r\nThe LCM of 2 and 3 is 6.<br>\r\nThus, the least common denominator is 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\">$\\frac{3}{6} \\;-\\; \\frac{1}{6} =$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{4}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{1}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{3}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{1}{3}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{1}{3}$<br\/>As the denominators are the same, we only subtract numerators.<br>\r\nThus,  $\\frac{3}{6} \\;-\\; \\frac{1}{6} = \\frac{2}{6} = \\frac{1}{3}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What equation does the following figure represent?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/subtracting-fractions-visually.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{3}{5} \\;-\\; \\frac{1}{5} = \\frac{2}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{3}{4} \\;-\\; \\frac{2}{4} = \\frac{1}{4}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{3}{3} \\;-\\; \\frac{2}{3} = \\frac{1}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{4}{4} \\;-\\; \\frac{2}{4} = \\frac{2}{4}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{3}{4} \\;-\\; \\frac{2}{4} = \\frac{1}{4}$<br\/>In the first circle, 3 out of 4 parts are shaded. So, the fraction is $\\frac{3}{4}$.<br>\r\nIn the second circle, 2 out of 4 parts are shaded. So, the fraction is $\\frac{2}{4}$.<br>\r\nIn the last circle, 1 out of 4 parts is shaded. So, the fraction is $\\frac{1}{4}$.<\/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\": \"Addition and Subtraction of Fraction: Methods, Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Addition and Subtraction of Fraction\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    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                            \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"As the denominators are not the same, we first make denominators the same using the LCM method.<br>\r\n$$\\\\frac{7 \\\\times 2}{24 \\\\times 2} + \\\\frac{5 \\\\times 3}{16 \\\\times 3} = \\\\frac{14}{48} + \\\\frac{15}{48}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{7}{24} + \\\\frac{13}{24}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"As the denominators are not the same, we first make denominators the same using the LCM method.<br>\r\n$$\\\\frac{7 \\\\times 2}{24 \\\\times 2} + \\\\frac{5 \\\\times 3}{16 \\\\times 3} = \\\\frac{14}{48} + \\\\frac{15}{48}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{23}{40} +  \\\\frac{29}{40}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"As the denominators are not the same, we first make denominators the same using the LCM method.<br>\r\n$$\\\\frac{7 \\\\times 2}{24 \\\\times 2} + \\\\frac{5 \\\\times 3}{16 \\\\times 3} = \\\\frac{14}{48} + \\\\frac{15}{48}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{14}{48} + \\\\frac{15}{48}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"As the denominators are not the same, we first make denominators the same using the LCM method.<br>\r\n$$\\\\frac{7 \\\\times 2}{24 \\\\times 2} + \\\\frac{5 \\\\times 3}{16 \\\\times 3} = \\\\frac{14}{48} + \\\\frac{15}{48}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"As the denominators are not the same, we first make denominators the same using the LCM method.<br>\r\n$$\\\\frac{7 \\\\times 2}{24 \\\\times 2} + \\\\frac{5 \\\\times 3}{16 \\\\times 3} = \\\\frac{14}{48} + \\\\frac{15}{48}$$\"\n                      }\n                    } \n\n            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Thus, to make it the same, we find LCM of 2 and 3.<br>\r\nThe LCM of 2 and 3 is 6.<br>\r\nThus, the least common denominator is 6.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{1}{2}$$ and $$\\\\frac{1}{3}$$ have different denominators. Thus, to make it the same, we find LCM of 2 and 3.<br>\r\nThe LCM of 2 and 3 is 6.<br>\r\nThus, the least common denominator is 6.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{1}{2}$$ and $$\\\\frac{1}{3}$$ have different denominators. Thus, to make it the same, we find LCM of 2 and 3.<br>\r\nThe LCM of 2 and 3 is 6.<br>\r\nThus, the least common denominator is 6.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{1}{2}$$ and $$\\\\frac{1}{3}$$ have different denominators. Thus, to make it the same, we find LCM of 2 and 3.<br>\r\nThe LCM of 2 and 3 is 6.<br>\r\nThus, the least common denominator is 6.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"6\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\frac{1}{2}$$ and $$\\\\frac{1}{3}$$ have different denominators. Thus, to make it the same, we find LCM of 2 and 3.<br>\r\nThe LCM of 2 and 3 is 6.<br>\r\nThus, the least common denominator is 6.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\frac{1}{2}$$ and $$\\\\frac{1}{3}$$ have different denominators. Thus, to make it the same, we find LCM of 2 and 3.<br>\r\nThe LCM of 2 and 3 is 6.<br>\r\nThus, the least common denominator is 6.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$\\\\frac{3}{6} \\\\;-\\\\; \\\\frac{1}{6} =$$\",\n                    \"text\": \"$$\\\\frac{3}{6} \\\\;-\\\\; \\\\frac{1}{6} =$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"As the denominators are the same, we only subtract numerators.<br>\r\nThus,  $$\\\\frac{3}{6} \\\\;-\\\\; \\\\frac{1}{6} = \\\\frac{2}{6} = \\\\frac{1}{3}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{4}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"As the denominators are the same, we only subtract numerators.<br>\r\nThus,  $$\\\\frac{3}{6} \\\\;-\\\\; \\\\frac{1}{6} = \\\\frac{2}{6} = \\\\frac{1}{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"As the denominators are the same, we only subtract numerators.<br>\r\nThus,  $$\\\\frac{3}{6} \\\\;-\\\\; \\\\frac{1}{6} = \\\\frac{2}{6} = \\\\frac{1}{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"As the denominators are the same, we only subtract numerators.<br>\r\nThus,  $$\\\\frac{3}{6} \\\\;-\\\\; \\\\frac{1}{6} = \\\\frac{2}{6} = \\\\frac{1}{3}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"As the denominators are the same, we only subtract numerators.<br>\r\nThus,  $$\\\\frac{3}{6} \\\\;-\\\\; \\\\frac{1}{6} = \\\\frac{2}{6} = \\\\frac{1}{3}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"As the denominators are the same, we only subtract numerators.<br>\r\nThus,  $$\\\\frac{3}{6} \\\\;-\\\\; \\\\frac{1}{6} = \\\\frac{2}{6} = \\\\frac{1}{3}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What equation does the following figure represent?\",\n                    \"text\": \"What equation does the following figure represent? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/subtracting-fractions-visually.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"In the first circle, 3 out of 4 parts are shaded. So, the fraction is $$\\\\frac{3}{4}$$.<br>\r\nIn the second circle, 2 out of 4 parts are shaded. So, the fraction is $$\\\\frac{2}{4}$$.<br>\r\nIn the last circle, 1 out of 4 parts is shaded. So, the fraction is $$\\\\frac{1}{4}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{5} \\\\;-\\\\; \\\\frac{1}{5} = \\\\frac{2}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the first circle, 3 out of 4 parts are shaded. So, the fraction is $$\\\\frac{3}{4}$$.<br>\r\nIn the second circle, 2 out of 4 parts are shaded. So, the fraction is $$\\\\frac{2}{4}$$.<br>\r\nIn the last circle, 1 out of 4 parts is shaded. So, the fraction is $$\\\\frac{1}{4}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{3} \\\\;-\\\\; \\\\frac{2}{3} = \\\\frac{1}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the first circle, 3 out of 4 parts are shaded. So, the fraction is $$\\\\frac{3}{4}$$.<br>\r\nIn the second circle, 2 out of 4 parts are shaded. So, the fraction is $$\\\\frac{2}{4}$$.<br>\r\nIn the last circle, 1 out of 4 parts is shaded. So, the fraction is $$\\\\frac{1}{4}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{4}{4} \\\\;-\\\\; \\\\frac{2}{4} = \\\\frac{2}{4}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the first circle, 3 out of 4 parts are shaded. So, the fraction is $$\\\\frac{3}{4}$$.<br>\r\nIn the second circle, 2 out of 4 parts are shaded. So, the fraction is $$\\\\frac{2}{4}$$.<br>\r\nIn the last circle, 1 out of 4 parts is shaded. So, the fraction is $$\\\\frac{1}{4}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{3}{4} \\\\;-\\\\; \\\\frac{2}{4} = \\\\frac{1}{4}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"In the first circle, 3 out of 4 parts are shaded. So, the fraction is $$\\\\frac{3}{4}$$.<br>\r\nIn the second circle, 2 out of 4 parts are shaded. So, the fraction is $$\\\\frac{2}{4}$$.<br>\r\nIn the last circle, 1 out of 4 parts is shaded. So, the fraction is $$\\\\frac{1}{4}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"In the first circle, 3 out of 4 parts are shaded. So, the fraction is $$\\\\frac{3}{4}$$.<br>\r\nIn the second circle, 2 out of 4 parts are shaded. So, the fraction is $$\\\\frac{2}{4}$$.<br>\r\nIn the last circle, 1 out of 4 parts is shaded. So, the fraction is $$\\\\frac{1}{4}$$.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-frequently-asked-questions-on-addition-and-subtraction-of-fractions\">Frequently Asked Questions on Addition and Subtraction of Fractions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-314d3a5b-836c-47b8-9a9b-01a49686eab8\" 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-0-314d3a5b-836c-47b8-9a9b-01a49686eab8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-314d3a5b-836c-47b8-9a9b-01a49686eab8\"><strong>How do we add and subtract negative 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-0-314d3a5b-836c-47b8-9a9b-01a49686eab8\">\n\n<p>Negative fractions are simply fractions with a negative sign. The steps to add and subtract the negative fractions remain the same. We need to follow the rules for addition\/subtraction with negative signs.<\/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-1-314d3a5b-836c-47b8-9a9b-01a49686eab8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-314d3a5b-836c-47b8-9a9b-01a49686eab8\"><strong>How can we convert an improper fraction into a mixed number?<\/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-1-314d3a5b-836c-47b8-9a9b-01a49686eab8\">\n\n<p>To convert an improper fraction into a mixed number, we divide the numerator by the denominator. The denominator stays the same. The quotient represents the whole number part. The remainder represents the numerator of the mixed number.<\/p>\n\n\n\n<p><strong>Example: <\/strong>$\\frac{14}{3} = 4\\; \\text{R}\\; 2$<\/p>\n\n\n\n<p>Quotient $= 4$<\/p>\n\n\n\n<p>Remainder $= 2$<\/p>\n\n\n\n<p>$\\frac{14}{3} = 4\\frac{2}{3}$<\/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-2-314d3a5b-836c-47b8-9a9b-01a49686eab8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-314d3a5b-836c-47b8-9a9b-01a49686eab8\"><strong>How do we divide two 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-2-314d3a5b-836c-47b8-9a9b-01a49686eab8\">\n\n<p>To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.<\/p>\n\n\n\n<p>$\\frac{A}{B} \\div \\frac{C}{D} = \\frac{A}{B} \\times \\frac{D}{C}$<\/p>\n\n\n\n<p>For example, $\\frac{1}{2} \\div \\frac{3}{5} = \\frac{1}{2} \\times \\frac{5}{3} = \\frac{5}{6}$<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-314d3a5b-836c-47b8-9a9b-01a49686eab8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-314d3a5b-836c-47b8-9a9b-01a49686eab8\"><strong>What are the rules of adding and 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-3-314d3a5b-836c-47b8-9a9b-01a49686eab8\">\n\n<ul class=\"wp-block-list\">\n<li>Before adding or subtracting, we check if the fractions have the same denominator.<\/li>\n\n\n\n<li>If the denominators are equal, then we add\/subtract the numerators keeping the common denominator.<\/li>\n\n\n\n<li>If the denominators are different, then we make the denominators equal by using the LCM method. Once the fractions have the same denominator, we can add\/subtract the numerators keeping the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/common-denominator\">common denominator<\/a> as it is.<\/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-4-314d3a5b-836c-47b8-9a9b-01a49686eab8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-314d3a5b-836c-47b8-9a9b-01a49686eab8\"><strong>How do we add and subtract fractions with whole numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-314d3a5b-836c-47b8-9a9b-01a49686eab8\">\n\n<ul class=\"wp-block-list\">\n<li>Convert the whole number to a fraction. To do this, give the whole number a denominator of 1.<\/li>\n\n\n\n<li>Convert to fractions of like denominators.&nbsp;<\/li>\n\n\n\n<li>Add\/subtract the numerators. Now that the fractions have the same denominators, you can treat the numerators as a normal addition\/subtraction problem.<\/li>\n<\/ul>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Addition and Subtraction of Fractions? Addition and subtraction of fractions are the fundamental operations on fractions that can be studied easily using two cases: A fraction represents parts of a whole. For example, the fraction 37 represents 3 parts out of 7 equal parts of a whole. Here, 3 is the numerator and &#8230; <a title=\"Addition and Subtraction of Fraction: Methods, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition-and-subtraction-of-fractions\" aria-label=\"More on Addition and Subtraction of Fraction: Methods, Examples, Facts, FAQs\">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-32299","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\/32299","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=32299"}],"version-history":[{"count":9,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32299\/revisions"}],"predecessor-version":[{"id":32321,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32299\/revisions\/32321"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=32299"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=32299"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=32299"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}