{"id":31319,"date":"2023-06-26T06:17:00","date_gmt":"2023-06-26T06:17:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=31319"},"modified":"2023-11-16T05:10:11","modified_gmt":"2023-11-16T05:10:11","slug":"converting-fractions-to-percent-steps-formula-table-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fraction-to-percent","title":{"rendered":"Converting Fractions to Percent: Steps, Formula, Table, 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-975786f4-a1f5-4fac-8375-fd56cf7c0d70\" 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\/fraction-to-percent#0-what-is-fractions-to-percents-conversion>What Is Fractions to Percents Conversion?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fraction-to-percent#1-how-to-convert-a-fraction-to-a-percent>How to Convert a Fraction to a Percent<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fraction-to-percent#3-fraction-to-percent-conversion-table>Fraction to Percent Conversion Table<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fraction-to-percent#6-solved-examples-on-converting-fractions-to-percent>Solved Examples on Converting Fractions to Percent<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fraction-to-percent#7-practice-problems-on-fractions-to-percent-conversion>Practice Problems on Fractions to Percent Conversion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fraction-to-percent#8-frequently-asked-questions-about-converting-fractions-to-percent>Frequently Asked Questions about Converting&nbsp; Fractions to Percent<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-fractions-to-percents-conversion\">What Is Fractions to Percents Conversion?<\/h2>\n\n\n\n<p><strong>Fractions to percents conversion is the method of expressing a given fraction as a percentage.&nbsp;<\/strong><\/p>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\">fraction<\/a> represents a part of the whole. A fraction $\\frac{p}{q}$ consists of the numerator (p: top number) that represents the number of parts taken and denominator (q: bottom number), which represents the total number of parts the whole is divided into. For example, $\\frac{2}{5}$ means 2 parts taken out of 5 equal parts.&nbsp;<\/p>\n\n\n\n<p>A percentage is a fraction expressed as a fraction with a denominator of 100. In other words, percentage means a part per hundred. By \u201cper cent\u201d we mean \u201cper 100.\u201d Percent is represented by the symbol \u201c$\\%$.\u201d&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"295\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/fractions-and-percentages.png\" alt=\"Fractions and percentages\" class=\"wp-image-36013\" title=\"Fractions and percentages\"\/><\/figure>\n\n\n\n<p>Converting fractions to percentages helps in comparing and ordering two quantities easily. Fractions, decimals, and percentages are all interrelated concepts. To convert a fraction to a percent, we can first convert it into a decimal. Multiply the given decimal by 100 to get the percentage value.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"465\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/fraction-\u00bd-as-a-decimal-is-05-and-as-a-percentage-is-50.webp\" alt=\"Fraction \u00bd as a decimal is 0.5, and as a percentage is 50%\" class=\"wp-image-36014\" title=\"Fraction \u00bd as a decimal is 0.5, and as a percentage is 50%\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/fraction-\u00bd-as-a-decimal-is-05-and-as-a-percentage-is-50.webp 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/fraction-\u00bd-as-a-decimal-is-05-and-as-a-percentage-is-50-300x225.webp 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/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-the-fraction-to-the-mixed-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_mixed_num_and_frac_pt.png\" alt=\"Add the Fraction to the Mixed Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add the Fraction to the Mixed Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-the-mixed-number-and-the-fraction-on-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_nl_pt.png\" alt=\"Add the Mixed Number and the Fraction on 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 the Mixed Number and the Fraction on 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-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><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        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to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-how-to-convert-a-fraction-to-a-percent\">How to Convert a Fraction to a Percent<\/h2>\n\n\n\n<p>To convert a fraction to a percent, simply convert fraction to decimal, multiply the decimal by 100, and add $\\%$ sign. Another way to convert a fraction to a percentage is multiplying the fraction by 100, simplifying it, and adding$\\%$ sign.&nbsp;<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Convert the fraction into a decimal number. To do this, divide the numerator by the denominator.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> To get a percent value, multiply the obtained decimal number by 100. The result is the fraction as a percent. Write the percent with $\\%$ symbol next to the answer.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"273\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/steps-for-converting-fraction-to-percentage.png\" alt=\"Steps for converting fraction to percentage\" class=\"wp-image-36016\" title=\"Steps for converting fraction to percentage\"\/><\/figure>\n\n\n\n<p>Another way is to multiply the fraction by 100 and simplify. The result is the fraction as a percent. Add the $\\%$ symbol to the answer.<\/p>\n\n\n\n<p>$\\frac{4}{7} = (\\frac{4}{7} \\times 100)\\% = \\frac{400}{7}\\% = 57.1428&#8230;\\%$<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-decimal-fractions-to-write-decimal-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-decimal-fractions-to-write-decimal-number.jpeg\" alt=\"Add Decimal Fractions to Write Decimal Number Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-fractions-using-area-models.jpeg\" alt=\"Add Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-fraction-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-fractions-using-fraction-models.jpeg\" alt=\"Add Fractions Using Fraction Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-visual-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-fractions-using-visual-models.jpeg\" alt=\"Add Fractions Using Visual Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-like-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-like-fractions-using-area-models.jpeg\" alt=\"Add Like Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models.jpeg\" alt=\"Add Mixed Numbers and Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-models.jpeg\" alt=\"Add Mixed Numbers and Fractions using Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/adding-fractions-mixed-numbers-word-problems\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" 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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\" 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-models.jpeg\" alt=\"Adding 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><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = 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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-fraction-to-percentage-formula\">Fraction to Percentage Formula<\/h2>\n\n\n\n<p>To convert a fraction to percent, we convert it to a decimal number and multiply it by 100 followed by the symbol $\\%$.&nbsp;<\/p>\n\n\n\n<p>The formula to convert fraction <strong>m<\/strong><strong>n<\/strong> to percentage is:<\/p>\n\n\n\n<p><strong>Percentage <\/strong>$= \\frac{m}{n}\\times100$<\/p>\n\n\n\n<p>where, $m =$ <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\">numerator<\/a><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$n =$ <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\">denominator<\/a><\/p>\n\n\n\n<p>Do not forget to add the \u201c$\\%$\u201d sign after the final answer.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"285\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/fractions-to-percent-example.png\" alt=\"Fractions to percent example\" class=\"wp-image-36017\" title=\"Fractions to percent example\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-fraction-to-percent-conversion-table\">Fraction to Percent Conversion Table<\/h2>\n\n\n\n<p>Take a look at the fractions to percent conversion chart.<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Fraction<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Percentage<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{2}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp; $50\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{4}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp; $25\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{2}{5}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$40\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{3}{4}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$75\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{5}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$20\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{3}{5}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$60\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{8}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$12.5\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{10}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$10\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{3}{10}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$30\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{9}{10}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$90\\%$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-facts-about-fractions-to-percent-conversion\">Facts about Fractions to Percent Conversion<\/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>Fractions can be expressed as decimals by dividing the numerator (top number) by the denominator (bottom number) using the long division method.<\/li>\n\n\n\n<li>To change a fraction to a percentage, divide the numerator by the denominator, and then multiply the result by 100. Alternatively, you can also multiply the numerator by 100 first, then divide the result by the denominator of the fraction.<\/li>\n\n\n\n<li>You can convert a fraction to percent by making the denominator 100, or by converting<br>the fraction into&nbsp;$\\frac{?}{100}$ form.<br>$\\frac{4}{5} = \\frac{4 \\times 20}{5 \\times 20} = \\frac{80}{100} = 80\\%$<\/li>\n\n\n\n<li>A mixed fraction or a mixed number is always greater than (or equal to) 1. Thus, we always get a percent greater than 100 on converting a mixed number to a percentage.<br>$2\\frac{4}{5} = \\frac{14}{5} =&nbsp; \\frac{14}{5} \\times 100= 280\\%$<\/li>\n\n\n\n<li>To <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/percent-to-fraction\">convert percent to fraction<\/a>, remove the % sign, divide by 100, and simplify if required.<\/li>\n\n\n\n<li>$100\\% =&nbsp;\\frac{100}{100} = 1$<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we have learned about fractions and percentages and their conversions. Conversion of fractions and decimals to percentages are very important. They make fractions and percentages of amounts much simpler to visualize and compare. Now, let&#8217;s apply the knowledge to solve some examples and practice problems.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-solved-examples-on-converting-fractions-to-percent\">Solved Examples on Converting Fractions to Percent<\/h2>\n\n\n\n<p><strong>1. Convert each of the fractions to percentages.<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>&nbsp;&nbsp;&nbsp;&nbsp;<\/strong>$\\frac{3}{10}$<strong> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (b) &nbsp; &nbsp; <\/strong>$\\frac{1}{4}$<strong> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (c) &nbsp; &nbsp; <\/strong>$\\frac{1}{2}$<\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>To convert fractions to percentages, we can first convert it to a decimal form and then multiply it by 100.<\/p>\n\n\n\n<p>(a)&nbsp; $\\frac{3}{10}$&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p>$\\frac{3}{10} = 0.3$&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p>Multiply it by 100 to get the percentage value.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p>$\\frac{3}{10} = (0.3 \\times 100)\\% = 30\\%$&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p>(b) $\\frac{1}{4} = (0.25 \\times 100)\\% = 25\\%$&nbsp;<\/p>\n\n\n\n<p>&nbsp;(c) $\\frac{1}{2} = (0.50 \\times 100)\\% = 50\\%$<\/p>\n\n\n\n<p><strong>2. Compare the fractions <\/strong>$\\frac{3}{4}$<strong> and <\/strong>$\\frac{4}{5}$<strong> by converting them into percentages.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let\u2019s convert these fractions to percentages.<\/p>\n\n\n\n<p>$\\frac{3}{4} = (\\frac{3}{4} \\times 100)\\% = (0.75 \\times 100)\\% = 75\\%$&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p>$\\frac{4}{5} = (\\frac{4}{5} \\times 100)\\% = (0.8 \\times 100)\\% = 80\\%$<\/p>\n\n\n\n<p>$75\\% \\lt 80\\%$<\/p>\n\n\n\n<p>Thus, $\\frac{3}{4} \\lt \\frac{4}{5}$<\/p>\n\n\n\n<p><strong>3. Kids at a birthday party finished 6 out of 10 slices of pizza. What percentage of pizza was eaten by kids?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>6 out of $10 = \\frac{6}{10}$<\/p>\n\n\n\n<p>To change this fraction to percentage, we will multiply the fraction by 100.<\/p>\n\n\n\n<p>$\\frac{6}{10} = (\\frac{6}{10} \\times 100)\\% = 60\\%$<\/p>\n\n\n\n<p>Thus, $60\\%$ pizza was consumed.<\/p>\n\n\n\n<p><strong>4. Convert <\/strong>$\\frac{3}{25}$<strong> into a percentage.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>$\\frac{3}{25} =&nbsp; (\\frac{3}{25} \\times 100)\\%$&nbsp;<\/p>\n\n\n\n<p>$\\frac{3}{25} = \\frac{300}{25}\\%$<\/p>\n\n\n\n<p>$\\frac{3}{25} = 12\\%$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-practice-problems-on-fractions-to-percent-conversion\">Practice Problems on Fractions to Percent Conversion<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Converting Fractions to Percent: Steps, Formula, Table, 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\">Which option defines the gray shaded portion of the circle?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/circle-fraction-one-fifth.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{1}{2} = 50\\%$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{1}{6} =  0.166\\%$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{4}{5} = 80\\%$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{1}{5} = 20\\%$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{1}{5} = 20\\%$<br\/>A circle is divided into 5 equal parts. One part is shaded. It represents the fraction $\\frac{1}{5}$.<br>\r\nThus, $\\frac{1}{5} = (0.20 \\times 100)\\% = 20\\%$<\/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\">$\\frac{3}{4}$ is equivalent to<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$25\\%$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$50\\%$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$75\\%$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$90\\%$<\/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: $75\\%$<br\/>$\\frac{3}{4} \\times 100 = 3 \\times 25 = 75\\%$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">For converting fraction to percent, we __________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">divide the fraction by 100<\/div><div class=\"spq_answer_block\" data-value=\"1\">multiply the fraction by 10<\/div><div class=\"spq_answer_block\" data-value=\"2\">divide the fraction by 10<\/div><div class=\"spq_answer_block\" data-value=\"3\">multiply the fraction by 100<\/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: multiply the fraction by 100<br\/>For converting a decimal to percent, we multiply the fraction by 100, simplify, and give the $\\%$ sign.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">$22\\%$ can be written as the following decimal and fraction.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$22 \\text{and} \\frac{22}{10}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$0.22 \\text{and} \\frac{22}{100}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$0.2 \\text{and} \\frac{22}{100}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$0.2 \\text{and} \\frac{22}{10}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $0.22 \\text{and} \\frac{22}{100}$<br\/>$22\\% = \\frac{22}{100} = 0.22$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Convert the fraction to a percent: $\\frac{7}{8}$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$87.5\\%$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$57.5\\%$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$77.5\\%$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$97.5\\%$<\/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: $87.5\\%$<br\/>$\\frac{7}{8} = \\frac{7}{8} \\times 100 = \\frac{700}{8} = 87.5\\%$<\/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\": \"Converting Fractions to Percent: Steps, Formula, Table, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Converting Fractions to Percent\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which option defines the gray shaded portion of the circle?\",\n                    \"text\": \"Which option defines the gray shaded portion of the circle? 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One part is shaded. It represents the fraction $$\\\\frac{1}{5}$$.<br>\r\nThus, $$\\\\frac{1}{5} = (0.20 \\\\times 100)\\\\% = 20\\\\%$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{2} = 50\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A circle is divided into 5 equal parts. One part is shaded. It represents the fraction $$\\\\frac{1}{5}$$.<br>\r\nThus, $$\\\\frac{1}{5} = (0.20 \\\\times 100)\\\\% = 20\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{6} =  0.166\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A circle is divided into 5 equal parts. One part is shaded. It represents the fraction $$\\\\frac{1}{5}$$.<br>\r\nThus, $$\\\\frac{1}{5} = (0.20 \\\\times 100)\\\\% = 20\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{4}{5} = 80\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A circle is divided into 5 equal parts. One part is shaded. It represents the fraction $$\\\\frac{1}{5}$$.<br>\r\nThus, $$\\\\frac{1}{5} = (0.20 \\\\times 100)\\\\% = 20\\\\%$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{5} = 20\\\\%$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A circle is divided into 5 equal parts. One part is shaded. It represents the fraction $$\\\\frac{1}{5}$$.<br>\r\nThus, $$\\\\frac{1}{5} = (0.20 \\\\times 100)\\\\% = 20\\\\%$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A circle is divided into 5 equal parts. One part is shaded. It represents the fraction $$\\\\frac{1}{5}$$.<br>\r\nThus, $$\\\\frac{1}{5} = (0.20 \\\\times 100)\\\\% = 20\\\\%$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$\\\\frac{3}{4}$$ is equivalent to\",\n                    \"text\": \"$$\\\\frac{3}{4}$$ is equivalent to\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\frac{3}{4} \\\\times 100 = 3 \\\\times 25 = 75\\\\%$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$25\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{3}{4} \\\\times 100 = 3 \\\\times 25 = 75\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$50\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{3}{4} \\\\times 100 = 3 \\\\times 25 = 75\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$90\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{3}{4} \\\\times 100 = 3 \\\\times 25 = 75\\\\%$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$75\\\\%$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\frac{3}{4} \\\\times 100 = 3 \\\\times 25 = 75\\\\%$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\frac{3}{4} \\\\times 100 = 3 \\\\times 25 = 75\\\\%$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"For converting fraction to percent, we __________.\",\n                    \"text\": \"For converting fraction to percent, we __________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"For converting a decimal to percent, we multiply the fraction by 100, simplify, and give the $$\\\\%$$ sign.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"divide the fraction by 100\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"For converting a decimal to percent, we multiply the fraction by 100, simplify, and give the $$\\\\%$$ sign.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"multiply the fraction by 10\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"For converting a decimal to percent, we multiply the fraction by 100, simplify, and give the $$\\\\%$$ sign.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"divide the fraction by 10\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"For converting a decimal to percent, we multiply the fraction by 100, simplify, and give the $$\\\\%$$ sign.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"multiply the fraction by 100\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"For converting a decimal to percent, we multiply the fraction by 100, simplify, and give the $$\\\\%$$ sign.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"For converting a decimal to percent, we multiply the fraction by 100, simplify, and give the $$\\\\%$$ sign.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$22\\\\%$$ can be written as the following decimal and fraction.\",\n                    \"text\": \"$$22\\\\%$$ can be written as the following decimal and fraction.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$22\\\\% = \\\\frac{22}{100} = 0.22$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$22 \\\\text{and} \\\\frac{22}{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$22\\\\% = \\\\frac{22}{100} = 0.22$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$0.2 \\\\text{and} \\\\frac{22}{100}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$22\\\\% = \\\\frac{22}{100} = 0.22$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$0.2 \\\\text{and} \\\\frac{22}{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$22\\\\% = \\\\frac{22}{100} = 0.22$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$0.22 \\\\text{and} \\\\frac{22}{100}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$22\\\\% = \\\\frac{22}{100} = 0.22$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$22\\\\% = \\\\frac{22}{100} = 0.22$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert the fraction to a percent: $$\\\\frac{7}{8}$$\",\n                    \"text\": \"Convert the fraction to a percent: $$\\\\frac{7}{8}$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\frac{7}{8} = \\\\frac{7}{8} \\\\times 100 = \\\\frac{700}{8} = 87.5\\\\%$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$57.5\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{7}{8} = \\\\frac{7}{8} \\\\times 100 = \\\\frac{700}{8} = 87.5\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$77.5\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{7}{8} = \\\\frac{7}{8} \\\\times 100 = \\\\frac{700}{8} = 87.5\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$97.5\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{7}{8} = \\\\frac{7}{8} \\\\times 100 = \\\\frac{700}{8} = 87.5\\\\%$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$87.5\\\\%$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\frac{7}{8} = \\\\frac{7}{8} \\\\times 100 = \\\\frac{700}{8} = 87.5\\\\%$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\frac{7}{8} = \\\\frac{7}{8} \\\\times 100 = \\\\frac{700}{8} = 87.5\\\\%$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-frequently-asked-questions-about-converting-fractions-to-percent\">Frequently Asked Questions about Converting&nbsp; Fractions to Percent<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-8cb43344-667c-4986-b750-168815e42093\" 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-0-8cb43344-667c-4986-b750-168815e42093\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8cb43344-667c-4986-b750-168815e42093\"><strong>Why do we need to convert a fraction to percent?<\/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-0-8cb43344-667c-4986-b750-168815e42093\">\n\n<p>We need to convert a decimal to percent for comparing the quantities instantly. For example, if we have to compare the decimals of $\\frac{1}{2},\\; \\frac{61}{100},\\; \\frac{987}{1000}$, we will not be able to make any sense of the values at first glance. If these fractions are converted into percentages as $50\\%,\\; 61\\%,\\; 98.7\\%$, we will be able to compare them easily.<\/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-1-8cb43344-667c-4986-b750-168815e42093\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8cb43344-667c-4986-b750-168815e42093\"><strong>What are the steps to convert percent to 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-1-8cb43344-667c-4986-b750-168815e42093\">\n\n<p><strong>Step 1:<\/strong> Write down the given percent value like this: $\\frac{Percent value}{100}$<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Simplify (or reduce) the fraction to its lowest term.<\/p>\n\n\n\n<p>For example: Convert $20\\%$ to fraction<\/p>\n\n\n\n<p>$20\\% = \\frac{20}{100} = \\frac{20}{100} \\div \\frac{20}{20} = \\frac{1}{5}$<\/p>\n\n\n\n<p>Thus, $20\\% = \\frac{1}{5}$<\/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-2-8cb43344-667c-4986-b750-168815e42093\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8cb43344-667c-4986-b750-168815e42093\"><strong>How do you convert a mixed number to a percentage?<\/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-2-8cb43344-667c-4986-b750-168815e42093\">\n\n<p>To convert a mixed number to a percentage, first convert the mixed number to an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/improper-fraction\">improper fraction<\/a>, and then convert the important fraction to a percentage.<\/p>\n\n\n\n<p>$1\\frac{2}{10} = \\frac{12}{10} = \\frac{12}{10} \\times 100 = 120\\%$<\/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-3-8cb43344-667c-4986-b750-168815e42093\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8cb43344-667c-4986-b750-168815e42093\"><strong>How do you convert an improper fraction to a percentage?<\/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-3-8cb43344-667c-4986-b750-168815e42093\">\n\n<p>Divide the numerator by the denominator to get the decimal, and then multiply the decimal by 100.<\/p>\n\n\n\n<p>Example: $\\frac{7}{5} =  1.4$<\/p>\n\n\n\n<p>$1.4 \\times 100 = 140\\%$<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Fractions to Percents Conversion? Fractions to percents conversion is the method of expressing a given fraction as a percentage.&nbsp; A fraction represents a part of the whole. A fraction $\\frac{p}{q}$ consists of the numerator (p: top number) that represents the number of parts taken and denominator (q: bottom number), which represents the total &#8230; <a title=\"Converting Fractions to Percent: Steps, Formula, Table, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fraction-to-percent\" aria-label=\"More on Converting Fractions to Percent: Steps, Formula, Table, 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-31319","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\/31319","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=31319"}],"version-history":[{"count":14,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31319\/revisions"}],"predecessor-version":[{"id":36018,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31319\/revisions\/36018"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=31319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=31319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=31319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}