{"id":33493,"date":"2023-08-25T16:06:41","date_gmt":"2023-08-25T16:06:41","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=33493"},"modified":"2023-08-27T16:41:05","modified_gmt":"2023-08-27T16:41:05","slug":"reciprocal-of-a-fraction-definition-steps-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal-of-fractions","title":{"rendered":"Reciprocal of a Fraction &#8211; Definition, Steps, Examples, 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-bb2241d5-e129-4ee4-835d-ca3d2279bbad\" 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\/reciprocal-of-fractions#0-what-is-the-reciprocal-of-a-fraction>What Is the Reciprocal of a Fraction?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal-of-fractions#2-how-to-find-the-reciprocal-of-a-fraction>How to Find the Reciprocal of a Fraction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal-of-fractions#4-reciprocal-of-a-fraction-visualization>Reciprocal of a Fraction Visualization<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal-of-fractions#10-solved-examples-on-reciprocal-of-a-fraction>Solved Examples on Reciprocal of a Fraction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal-of-fractions#11-practice-problems-on-the-reciprocal-of-a-fraction>Practice Problems on the Reciprocal of a Fraction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal-of-fractions#12-frequently-asked-questions-about-the-reciprocal-of-a-fraction>Frequently Asked Questions about the Reciprocal of a Fraction<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-reciprocal-of-a-fraction\">What Is the Reciprocal of a Fraction?<\/h2>\n\n\n\n<p>The reciprocal of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\">fraction<\/a> is obtained by interchanging the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\">numerator<\/a> and the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\">denominator<\/a>. It represents the multiplicative inverse of the given fraction.&nbsp;<\/p>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal\">reciprocal<\/a> of any non-zero number is simply written as 1 divided by that number.<\/p>\n\n\n\n<p>The reciprocal of a fraction is a value which, when multiplied with the given fraction, results in 1.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"329\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/reciprocal-of-a-fraction-example.png\" alt=\"Reciprocal of a fraction - example\" class=\"wp-image-33499\" title=\"Reciprocal of a fraction - example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/reciprocal-of-a-fraction-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/reciprocal-of-a-fraction-example-300x159.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Examples of Reciprocal of Fractions:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The reciprocal of $\\frac{1}{2}$ is $\\frac{2}{1}$ or simply 2.<\/li>\n\n\n\n<li>The reciprocal of $\\frac{3}{4}$ is $\\frac{4}{3}$.<\/li>\n<\/ul>\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                    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         }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-reciprocal-of-a-fraction-definition\">Reciprocal of a Fraction Definition<\/h2>\n\n\n\n<p>The reciprocal of a fraction is a multiplicative inverse of the original fraction. It is a new fraction that is obtained by interchanging the numerator and the denominator of the original fraction.<\/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\" 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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-how-to-find-the-reciprocal-of-a-fraction\">How to Find the Reciprocal of a Fraction<\/h2>\n\n\n\n<p>Finding reciprocal of fractions is simple. We only need to interchange or swap the numerator and denominator in order to determine the reciprocal of a fraction.&nbsp;<\/p>\n\n\n\n<p>In general, reciprocal of a fraction $\\frac{a}{b}$ is written as$\\frac{b}{a}$. (a, b are whole numbers, $a \\neq 0$, $b \\neq 0$)<\/p>\n\n\n\n<p>For example, the reciprocal of $\\frac{5}{11}$ is $\\frac{11}{5}$.<\/p>\n\n\n\n<p><strong>Note: <\/strong>You can also find the reciprocal of a fraction by dividing 1 by the fraction.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-reciprocal-of-0\">Reciprocal of 0<\/h2>\n\n\n\n<p>The reciprocal of 0 is not defined. There is no value or number which, when multiplied with 0, results in 1. Thus, 10 is undefined.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-reciprocal-of-a-fraction-visualization\">Reciprocal of a Fraction Visualization<\/h2>\n\n\n\n<p>We know that the reciprocal of $\\frac{1}{2}$ is 2.\u00a0<\/p>\n\n\n\n<p>How many halves make 1 whole?<\/p>\n\n\n\n<p>Two halves make 1 whole.<\/p>\n\n\n\n<p>Two $\\frac{1}{2}$ parts make 1 whole.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"346\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/reciprocal-of-\u00bd-is-2-visual-model.png\" alt=\"Reciprocal of \u00bd is 2 (visual model)\" class=\"wp-image-33501\" title=\"Reciprocal of \u00bd is 2 (visual model)\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/reciprocal-of-\u00bd-is-2-visual-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/reciprocal-of-\u00bd-is-2-visual-model-300x167.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Similarly, the reciprocal of $\\frac{1}{4}$ is 4.<\/p>\n\n\n\n<p>How many quarters $(\\frac{1}{4})$ make 1 whole?<\/p>\n\n\n\n<p>Four $\\frac{1}{4}$ parts can fit in 1 whole.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"402\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/reciprocal-of-14-is-4-visual-model.png\" alt=\"Reciprocal of 1\/4 is 4 (visual model)\" class=\"wp-image-33502\" title=\"Reciprocal of 1\/4 is 4 (visual model)\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/reciprocal-of-14-is-4-visual-model.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/reciprocal-of-14-is-4-visual-model-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-reciprocal-of-a-mixed-fraction\">Reciprocal of a Mixed Fraction<\/h2>\n\n\n\n<p>To find the reciprocal of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/mixed-number\">mixed fraction<\/a>, we first need to convert it to an improper fraction. An improper fraction has a numerator that is greater than or equal to the denominator. After getting the improper fraction, we can take its reciprocal by interchanging the numerator and denominator.<\/p>\n\n\n\n<p><strong>Example:<\/strong> Consider a mixed fraction $4\\frac{5}{7}$.\u00a0<\/p>\n\n\n\n<p>To convert it to an improper fraction, we multiply the whole number (4) by the denominator (7) and add the numerator (5). This value is the numerator. Denominator stays the same.<\/p>\n\n\n\n<p>$4\\frac{5}{7} = \\frac{(7 \u00d7 4) + 5}{7} = \\frac{33}{7}$\u00a0<\/p>\n\n\n\n<p>Therefore, the improper fraction for the mixed fraction $4\\frac{5}{7}$ is $\\frac{33}{7}$.<\/p>\n\n\n\n<p>Now, the reciprocal of $\\frac{33}{7}$ is found by swapping the numerator and denominator.<\/p>\n\n\n\n<p>Thus, the reciprocal of $\\frac{33}{7}$ is \\frac{7}{33}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-reciprocal-of-a-negative-fraction\">Reciprocal of a Negative Fraction<\/h2>\n\n\n\n<p>If a fraction has a negative sign, its reciprocal also has a negative sign. In this case, simply take the reciprocal of the positive fraction and assign the negative sign to it.&nbsp;<\/p>\n\n\n\n<p>The reciprocal of a negative fraction $-\\;\\frac{a}{b}$ is written as $-\\;\\frac{b}{a}$.\u00a0 (a, b are whole numbers numbers, $b\u00a0 \u2260\u00a0 0$)<\/p>\n\n\n\n<p><strong>Example:<\/strong> The reciprocal of $\\frac{-\\;8}{11}$ is $\\frac{-\\;11}{8}$ or simply $-\\;\\frac{11}{8}$.\u00a0<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-reciprocal-of-a-fraction-with-exponents\">Reciprocal of a Fraction with Exponents<\/h2>\n\n\n\n<p>The form of fractions with exponents is $\\bigg(\\frac{a}{b}\\bigg)^{p}$, where p is any rational number; a and b are any whole numbers $\\left(b\u00a0 \\neq 0\\right)$, we must first use the laws of exponents to separate the numerator and denominator.\u00a0<\/p>\n\n\n\n<p>An expression $\\bigg(\\frac{a}{b}\\bigg)^{p}$ can be written as<\/p>\n\n\n\n<p>$\\bigg(\\frac{a}{b}\\bigg)^{p} = \\frac{a^{p}}{b^{p}}$.<\/p>\n\n\n\n<p>Now, swap the numerator and denominator to find the reciprocal.&nbsp;<\/p>\n\n\n\n<p>Therefore, the reciprocal of apbp is $\\frac{b^{p}}{a^{p}}$.<\/p>\n\n\n\n<p><strong>Example:<\/strong> Find the reciprocal of $\\bigg(\\frac{2}{3}\\bigg)^{3}$.<\/p>\n\n\n\n<p>We can write $\\bigg(\\frac{2}{3}\\bigg)^{3} = \\frac{2^{3}}{3^{3}}$.<\/p>\n\n\n\n<p>Hence, the reciprocal of $\\bigg(\\frac{2}{3}\\bigg)^{3} = \\frac{3^{3}}{2^{3}} = \\bigg(\\frac{3}{2}\\bigg)^{3}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-facts-about-the-reciprocal-of-a-fraction\">Facts about the Reciprocal of a Fraction<\/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>The reciprocal of a fraction is also known as its <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/multiplicative-inverse\">multiplicative inverse<\/a>. When we multiply a fraction by its reciprocal, the result is always 1.<\/li>\n\n\n\n<li>The reciprocal of a proper fraction is always an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/improper-fraction\">improper fraction<\/a>.<\/li>\n\n\n\n<li>The reciprocal of an improper fraction is always a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/proper-fraction\">proper fraction<\/a>.<\/li>\n\n\n\n<li>The reciprocal of a unit fraction is always a whole number. For example, the reciprocal of $\\frac{1}{10}$ is 10.<\/li>\n\n\n\n<li>The reciprocal of a whole number (non-zero) is a fraction with the numerator 1 and the original <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\">whole number<\/a> as the denominator. For example, the reciprocal of 10 is $\\frac{1}{10}$ .<\/li>\n\n\n\n<li>The reciprocal of 0 is undefined.<\/li>\n\n\n\n<li>The reciprocal of 1 is 1.<\/li>\n\n\n\n<li>The reciprocal of a reciprocal is the original fraction itself.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the reciprocal of a fraction, its definition, examples of reciprocal fractions, the reciprocal of mixed fractions, the reciprocal of fractions with exponents, the methods of finding reciprocal of fractions, and interesting facts. Let\u2019s move ahead and solve a few examples and practice problems based on all these concepts.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-solved-examples-on-reciprocal-of-a-fraction\">Solved Examples on Reciprocal of a Fraction<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Find the reciprocal of <\/strong>$\\frac{5}{13}$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The reciprocal of a fraction is obtained by interchanging its numerator and denominator.<\/p>\n\n\n\n<p>Hence, the reciprocal of $\\frac{5}{13}$ is $\\frac{13}{5}$.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li><strong>What is the reciprocal of the sum of <\/strong>$\\frac{5}{6}$<strong> and <\/strong>$\\frac{7}{15}$<strong>?<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Sum of the given fraction $= \\frac{5}{6} + \\frac{7}{15} = \\frac{25 + 14}{30} = \\frac{39}{30} = \\frac{13}{10}$<\/p>\n\n\n\n<p>Hence, the reciprocal of sum $= \\frac{10}{13}$.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li><strong>If a is the reciprocal of <\/strong>$\\frac{12}{13}$<strong>, then find the value of <\/strong>$a + 5$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>$a =$ Reciprocal of $\\frac{12}{13} = \\frac{13}{12}$<\/p>\n\n\n\n<p>$a + 5 = \\frac{13}{12} + 5 = \\frac{13 + 60}{12} = \\frac{73}{12}$<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"4\">\n<li><strong>Find the reciprocal of <\/strong>$5\\frac{2}{15}$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>To find the reciprocal of a mixed number, we first need to convert it to an improper fraction.<\/p>\n\n\n\n<p>$5\\frac{2}{15} = \\frac{(15 \u00d7 5) + 2}{15} = \\frac{77}{15}$<\/p>\n\n\n\n<p>Reciprocal of $\\frac{77}{15} = \\frac{15}{77}$<\/p>\n\n\n\n<p>Hence, the reciprocal of $5\\frac{2}{15} = \\frac{15}{77}$.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"5\">\n<li><strong>Find the reciprocal of <\/strong>$2\\frac{4}{13}$<strong>?<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>We can write the given mixed fraction as an improper fraction.<\/p>\n\n\n\n<p>$2\\frac{4}{13} = \\frac{(13 \u00d7 2) + 4}{13} = \\frac{30}{13}$<\/p>\n\n\n\n<p>Reciprocal of $2\\frac{4}{13} = \\frac{13}{30}$<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"6\">\n<li><strong>John can mow a lawn in 5 hours. What is the reciprocal of the fraction representing John&#8217;s hourly mowing rate?<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>John can mow a lawn in 5 hours.&nbsp;<\/p>\n\n\n\n<p>John&#8217;s hourly mowing rate is $\\frac{1}{5}$ of a lawn per hour because he can mow one lawn in 5 hours.\u00a0<\/p>\n\n\n\n<p>Hence, the reciprocal of $\\frac{1}{5}$ is $\\frac{5}{1}$, or simply 5.\u00a0<\/p>\n\n\n\n<p>Therefore, John&#8217;s reciprocal hourly mowing rate is 5 lawns per hour.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"7\">\n<li><strong>Find the reciprocal of <\/strong>$\\bigg(\\frac{5}{3}\\bigg)^{-2}$<strong>?<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>\u00a0$\\bigg(\\frac{5}{3}\\bigg)^{-2} = \\bigg(\\frac{3}{5}\\bigg)^{2} = \\bigg(\\frac{9}{25}\\bigg)$<\/p>\n\n\n\n<p>Reciprocal of $\\frac{9}{25} = \\frac{25}{9}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-practice-problems-on-the-reciprocal-of-a-fraction\">Practice Problems on the Reciprocal of a Fraction<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Reciprocal of a Fraction - Definition, Steps, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the reciprocal of 0?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0<\/div><div class=\"spq_answer_block\" data-value=\"1\">1<\/div><div class=\"spq_answer_block\" data-value=\"2\">-1<\/div><div class=\"spq_answer_block\" data-value=\"3\">Not defined<\/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: Not defined<br\/>Reciprocal of $0 = \\frac{1}{0} =$ Not defined<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the reciprocal of the fraction  $\\frac{5}{8}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{8}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{5}{24}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{8}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{25}{40}$<\/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: $\\frac{8}{5}$<br\/>The reciprocal of $\\frac{5}{8}$ is $\\frac{8}{5}$.<\/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\">What is the reciprocal of the fraction $\\frac{-5}{3}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{5}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{3}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{-3}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{-10}{9}$<\/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: $\\frac{-3}{5}$<br\/>To find the reciprocal of a fraction, we flip the fraction by interchanging the numerator and the denominator.<br>\r\nSo, the reciprocal of $\\frac{-5}{3}$ is $\\frac{-3}{5}$.<\/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\">What is the reciprocal of the mixed number $2\\frac{1}{2}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{1}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$2\\frac{2}{1}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$-\\;\\frac{2}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{2}{5}$<\/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\/>To find the reciprocal of a mixed number, we first need to convert it to an improper fraction. <br>\r\n$2\\frac{1}{2} = \\frac{5}{2}$<br>\r\nThe reciprocal of $\\frac{5}{2}$ is $\\frac{2}{5}$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What is the reciprocal of the fraction $\\frac{1}{6}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1<\/div><div class=\"spq_answer_block\" data-value=\"1\">$-\\;\\frac{1}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">3<\/div><div class=\"spq_answer_block\" data-value=\"3\">6<\/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\/>To find the reciprocal of a fraction, we flip it over.<br>\r\nSo, the reciprocal of $\\frac{1}{6}$ is 6.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        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\"Comment\",\n                      \"text\": \"Reciprocal of $$0 = \\\\frac{1}{0} =$$ Not defined\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of $$0 = \\\\frac{1}{0} =$$ Not defined\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of $$0 = \\\\frac{1}{0} =$$ Not defined\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"-1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of $$0 = \\\\frac{1}{0} =$$ Not defined\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Not defined\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Reciprocal of $$0 = \\\\frac{1}{0} =$$ Not defined\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Reciprocal of $$0 = \\\\frac{1}{0} =$$ Not defined\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the reciprocal of the fraction  $$\\\\frac{5}{8}$$?\",\n                    \"text\": \"What is the reciprocal of the fraction  $$\\\\frac{5}{8}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The reciprocal of $$\\\\frac{5}{8}$$ is $$\\\\frac{8}{5}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{8}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The reciprocal of $$\\\\frac{5}{8}$$ is $$\\\\frac{8}{5}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{5}{24}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The reciprocal of $$\\\\frac{5}{8}$$ is $$\\\\frac{8}{5}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{25}{40}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The reciprocal of $$\\\\frac{5}{8}$$ is $$\\\\frac{8}{5}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{8}{5}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The reciprocal of $$\\\\frac{5}{8}$$ is $$\\\\frac{8}{5}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The reciprocal of $$\\\\frac{5}{8}$$ is $$\\\\frac{8}{5}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the reciprocal of the fraction $$\\\\frac{-5}{3}$$?\",\n                    \"text\": \"What is the reciprocal of the fraction $$\\\\frac{-5}{3}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"To find the reciprocal of a fraction, we flip the fraction by interchanging the numerator and the denominator.<br>\r\nSo, the reciprocal of $$\\\\frac{-5}{3}$$ is $$\\\\frac{-3}{5}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{5}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the reciprocal of a fraction, we flip the fraction by interchanging the numerator and the denominator.<br>\r\nSo, the reciprocal of $$\\\\frac{-5}{3}$$ is $$\\\\frac{-3}{5}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the reciprocal of a fraction, we flip the fraction by interchanging the numerator and the denominator.<br>\r\nSo, the reciprocal of $$\\\\frac{-5}{3}$$ is $$\\\\frac{-3}{5}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{-10}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the reciprocal of a fraction, we flip the fraction by interchanging the numerator and the denominator.<br>\r\nSo, the reciprocal of $$\\\\frac{-5}{3}$$ is $$\\\\frac{-3}{5}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{-3}{5}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"To find the reciprocal of a fraction, we flip the fraction by interchanging the numerator and the denominator.<br>\r\nSo, the reciprocal of $$\\\\frac{-5}{3}$$ is $$\\\\frac{-3}{5}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"To find the reciprocal of a fraction, we flip the fraction by interchanging the numerator and the denominator.<br>\r\nSo, the reciprocal of $$\\\\frac{-5}{3}$$ is $$\\\\frac{-3}{5}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the reciprocal of the mixed number $$2\\\\frac{1}{2}$$?\",\n                    \"text\": \"What is the reciprocal of the mixed number $$2\\\\frac{1}{2}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"To find the reciprocal of a mixed number, we first need to convert it to an improper fraction. <br>\r\n$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\nThe reciprocal of $$\\\\frac{5}{2}$$ is $$\\\\frac{2}{5}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the reciprocal of a mixed number, we first need to convert it to an improper fraction. <br>\r\n$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\nThe reciprocal of $$\\\\frac{5}{2}$$ is $$\\\\frac{2}{5}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\\\\frac{2}{1}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the reciprocal of a mixed number, we first need to convert it to an improper fraction. <br>\r\n$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\nThe reciprocal of $$\\\\frac{5}{2}$$ is $$\\\\frac{2}{5}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-\\\\;\\\\frac{2}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the reciprocal of a mixed number, we first need to convert it to an improper fraction. <br>\r\n$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\nThe reciprocal of $$\\\\frac{5}{2}$$ is $$\\\\frac{2}{5}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{2}{5}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"To find the reciprocal of a mixed number, we first need to convert it to an improper fraction. <br>\r\n$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\nThe reciprocal of $$\\\\frac{5}{2}$$ is $$\\\\frac{2}{5}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"To find the reciprocal of a mixed number, we first need to convert it to an improper fraction. <br>\r\n$$2\\\\frac{1}{2} = \\\\frac{5}{2}$$<br>\r\nThe reciprocal of $$\\\\frac{5}{2}$$ is $$\\\\frac{2}{5}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the reciprocal of the fraction $$\\\\frac{1}{6}$$?\",\n                    \"text\": \"What is the reciprocal of the fraction $$\\\\frac{1}{6}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"To find the reciprocal of a fraction, we flip it over.<br>\r\nSo, the reciprocal of $$\\\\frac{1}{6}$$ is 6.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the reciprocal of a fraction, we flip it over.<br>\r\nSo, the reciprocal of $$\\\\frac{1}{6}$$ is 6.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-\\\\;\\\\frac{1}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the reciprocal of a fraction, we flip it over.<br>\r\nSo, the reciprocal of $$\\\\frac{1}{6}$$ is 6.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find the reciprocal of a fraction, we flip it over.<br>\r\nSo, the reciprocal of $$\\\\frac{1}{6}$$ is 6.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"6\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"To find the reciprocal of a fraction, we flip it over.<br>\r\nSo, the reciprocal of $$\\\\frac{1}{6}$$ is 6.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"To find the reciprocal of a fraction, we flip it over.<br>\r\nSo, the reciprocal of $$\\\\frac{1}{6}$$ is 6.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-frequently-asked-questions-about-the-reciprocal-of-a-fraction\">Frequently Asked Questions about the Reciprocal of a Fraction<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-11ce65f6-6f53-4a0a-90f6-940710b5e308\" 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-0-11ce65f6-6f53-4a0a-90f6-940710b5e308\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-11ce65f6-6f53-4a0a-90f6-940710b5e308\"><strong>What is a reciprocal of a fraction?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-11ce65f6-6f53-4a0a-90f6-940710b5e308\">\n\n<p>The reciprocal of a fraction is simply the fraction obtained by interchanging the numerator and the denominator. The numerator becomes the denominator, and the denominator becomes the numerator.<\/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-1-11ce65f6-6f53-4a0a-90f6-940710b5e308\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-11ce65f6-6f53-4a0a-90f6-940710b5e308\"><strong>What is the reciprocal of a mixed fraction?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-11ce65f6-6f53-4a0a-90f6-940710b5e308\">\n\n<p>To find the reciprocal of a mixed fraction, we first need to convert it to an improper fraction. The reciprocal of the improper fraction thus obtained represents the reciprocal of the mixed fraction.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-11ce65f6-6f53-4a0a-90f6-940710b5e308\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-11ce65f6-6f53-4a0a-90f6-940710b5e308\"><strong>What is the relationship between a fraction and its reciprocal?<\/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-2-11ce65f6-6f53-4a0a-90f6-940710b5e308\">\n\n<p>The product of a fraction and its reciprocal is always 1. For example, if we multiply $\\frac{3}{4}$ by its reciprocal, $\\frac{4}{3}$, we get 1.<\/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-3-11ce65f6-6f53-4a0a-90f6-940710b5e308\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-11ce65f6-6f53-4a0a-90f6-940710b5e308\"><strong>What is the reciprocal of a decimal?<\/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-3-11ce65f6-6f53-4a0a-90f6-940710b5e308\">\n\n<p>The reciprocal of a decimal can be found by converting the decimal to a fraction and then taking its reciprocal.<\/p>\n\n\n\n<p>For example, to find the reciprocal of 0.25, first convert decimal to fraction.&nbsp;<\/p>\n\n\n\n<p>$0.25 = \\frac{25}{100}$.<\/p>\n\n\n\n<p>Hence, the reciprocal of 0.25 is $\\frac{100}{25} = \\frac{4}{1} = 4$.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-11ce65f6-6f53-4a0a-90f6-940710b5e308\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-11ce65f6-6f53-4a0a-90f6-940710b5e308\"><strong>What is the reciprocal of zero?<\/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-4-11ce65f6-6f53-4a0a-90f6-940710b5e308\">\n\n<p>The reciprocal of 0 is undefined because any number multiplied by zero is always zero, which means there is no number that can be multiplied by zero to give a product of 1.<\/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-5-11ce65f6-6f53-4a0a-90f6-940710b5e308\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-11ce65f6-6f53-4a0a-90f6-940710b5e308\"><strong>What is the difference between a fraction and its reciprocal?<\/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-5-11ce65f6-6f53-4a0a-90f6-940710b5e308\">\n\n<p>The difference between a fraction and its reciprocal is that the numerator and denominator are swapped. For example, the reciprocal of $\\frac{5}{9}$ is $\\frac{9}{5}$.<\/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-6-11ce65f6-6f53-4a0a-90f6-940710b5e308\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-11ce65f6-6f53-4a0a-90f6-940710b5e308\"><strong>What is the reciprocal of a negative fraction?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-6-11ce65f6-6f53-4a0a-90f6-940710b5e308\">\n\n<p>Find the reciprocal of the fraction ignoring the sign, attach the negative sign to theresulting fraction to find the reciprocal of the negative fraction.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Reciprocal of a Fraction? The reciprocal of a fraction is obtained by interchanging the numerator and the denominator. It represents the multiplicative inverse of the given fraction.&nbsp; A reciprocal of any non-zero number is simply written as 1 divided by that number. The reciprocal of a fraction is a value which, when &#8230; <a title=\"Reciprocal of a Fraction &#8211; Definition, Steps, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal-of-fractions\" aria-label=\"More on Reciprocal of a Fraction &#8211; Definition, Steps, Examples, 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-33493","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\/33493","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=33493"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/33493\/revisions"}],"predecessor-version":[{"id":33511,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/33493\/revisions\/33511"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=33493"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=33493"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=33493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}