{"id":28318,"date":"2023-04-28T02:40:47","date_gmt":"2023-04-28T02:40:47","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=28318"},"modified":"2024-02-05T09:08:48","modified_gmt":"2024-02-05T09:08:48","slug":"convert-decimal-to-fraction-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/convert-decimal-to-fraction","title":{"rendered":"Convert Decimal to Fraction: Definition with Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-16640ac7-ecc3-4c93-81d3-0f26060ca926\" 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\/convert-decimal-to-fraction#0-what-is-the-decimals-to-fractions-conversion>What Is the Decimals To Fractions Conversion?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/convert-decimal-to-fraction#2-how-to-convert-decimal-to-fraction>How to Convert Decimal to Fraction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/convert-decimal-to-fraction#6-decimal-to-fraction-conversion-table>Decimal to Fraction Conversion Table<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/convert-decimal-to-fraction#8-solved-examples-on-decimal-to-fraction-conversion>Solved Examples on Decimal to Fraction Conversion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/convert-decimal-to-fraction#9-practice-problems-on-decimal-to-fraction-conversion>Practice Problems on Decimal to Fraction Conversion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/convert-decimal-to-fraction#10-frequently-asked-questions-on-decimals-to-fractions-conversion>Frequently Asked Questions on Decimals to Fractions Conversion<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-the-decimals-to-fractions-conversion\">What Is the Decimals To Fractions Conversion?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Decimals to fractions conversion refers to writing a given decimal in the form of a fraction. To convert decimals into fractions, we first need to identify the type of the decimal we are dealing with.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We can express the following decimals as fractions.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Terminating decimals&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Repeating decimals<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong>Terminating decimals<\/strong><\/td><td>Decimals that have an end-digit.Examples: 7.5, 1.222, 9.64<\/td><\/tr><tr><td><strong>Recurring\/Repeating decimals<\/strong><\/td><td>Non-terminating decimals in which a digit or a group of digits repeat themselves after the decimal point.Examples: 0.555\u2026, 1.232323\u2026<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Note that the non-terminating and non-recurring decimals cannot be expressed as fractions.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">How do you convert decimals to fractions quickly? You can use this online <a href=\"https:\/\/www.rapidtables.com\/convert\/number\/decimal-to-fraction.html\">Decimal to Fraction Converter<\/a> to convert a given decimal into a fraction instantly without any calculation.&nbsp;&nbsp;<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimal-fractions-using-equivalence\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_convert_to_equi_frac_to_add_pt.png\" alt=\"Add Decimal Fractions Using Equivalence Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimal Fractions Using Equivalence Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-greater-than-1-using-model\" 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\/dec_add_sub_add_dec_greater_than_1_models_pt.png\" alt=\"Add Decimals (Greater than 1) Using Model 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 Decimals (Greater than 1) Using Model 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-decimals-less-than-1-using-model\" 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\/dec_add_sub_add_dec_less_than_1_models_pt.png\" alt=\"Add Decimals (Less than 1) Using Model 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 Decimals (Less than 1) Using Model 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-decimals-with-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_with_regrouping_pt.png\" alt=\"Add Decimals with Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals with Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-without-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_without_regrouping_pt.png\" alt=\"Add Decimals without Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals without Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div 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><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 eplus-wrapper\" id=\"1-how-to-use-the-decimal-to-fraction-converter\">How to Use the Decimal to Fraction Converter<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">(Ensure that the conversion is assigned from \u201cDecimal\u201d to \u201cFraction.\u201d)<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> Substitute the value of the decimal in the numeric entry box labeled \u201cEnter decimal.\u201d<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2: <\/strong>Click on \u201cConvert.\u201d<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The fraction result section shows the fraction form of the given decimal along with the calculation.<\/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-a-whole-and-a-decimal-number-with-regrouping-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-with-regrouping-horizontal-addition.jpeg\" alt=\"Add a Whole and a Decimal Number with Regrouping: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-with-regrouping-missing-digits\" 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-a-whole-and-a-decimal-number-with-regrouping-missing-digits.jpeg\" alt=\"Add a Whole and a Decimal Number with Regrouping: Missing Digits 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-a-whole-and-a-decimal-number-with-regrouping-missing-numbers\" 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-a-whole-and-a-decimal-number-with-regrouping-missing-numbers.jpeg\" alt=\"Add a Whole and a Decimal Number with Regrouping: Missing Numbers 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-a-whole-and-a-decimal-number-with-regrouping-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-with-regrouping-vertical-addition.jpeg\" alt=\"Add a Whole and a Decimal Number with Regrouping: Vertical Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-horizontal-addition.jpeg\" alt=\"Add a Whole and a Decimal Number without Regrouping: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-missing-digits\" 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-a-whole-and-a-decimal-number-without-regrouping-missing-digits.jpeg\" alt=\"Add a Whole and a Decimal Number without Regrouping: Missing Digits 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-a-whole-and-a-decimal-number-without-regrouping-missing-numbers\" 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-a-whole-and-a-decimal-number-without-regrouping-missing-numbers.jpeg\" alt=\"Add a Whole and a Decimal Number without Regrouping: Missing Numbers 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-a-whole-and-a-decimal-number-without-regrouping-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-without-regrouping-vertical-addition.jpeg\" alt=\"Add a Whole and a Decimal Number without Regrouping: Vertical Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div 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});\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-how-to-convert-decimal-to-fraction\">How to Convert Decimal to Fraction<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this section, we will discuss how to convert a terminating decimal into a fraction. Let\u2019s understand the steps with the help of an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Convert 0.75 into a fraction.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> Write the decimal number in the form $\\frac{Decimal}{1}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, $0.75 = \\frac{0.75}{1}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2:<\/strong> Multiply both the numerator and denominator by the power of 10 corresponding to the number of digits after the decimal point. If the number of digits after the decimal point is 2, multiply both numerator and denominator by 100. The purpose here is to make the numerator a whole number.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, $\\frac{0.75\\times 100}{1 \\times 100} = \\frac{75}{100}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3:<\/strong> Simplify the resulting fraction.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{75 \\div 25}{100 \\div 25} = \\frac{3}{4}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A Trick to Remember:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">There\u2019s no specific decimal-to-fraction formula for conversion. However, we can simplify the steps into a simple trick.<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Remove the decimal point.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Divide the resulting number by the power of 10 equal to the number of decimal digits.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Simplify.<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">Examples:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">9.5 as a fraction $= \\frac{95}{10} = \\frac{19}{2}$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">2.25 as a fraction $= \\frac{225}{100} = \\frac{9}{4}$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">0.124 as a fraction $= \\frac{124}{1000} = \\frac{312}{50}$<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-converting-repeating-decimals-to-fractions\">Converting Repeating Decimals to Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s understand the steps to convert a repeating decimal to a fraction with the help of an example.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Convert 0.2525\u2026 to a fraction<\/strong>.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1: <\/strong>Identify the repeating digits and the number of repeating digits in the given decimal number.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Repeating digits $= 25$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Number of repeating digits$ = 2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2: Equate the decimal number to any variable. <\/strong><strong>&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let $x = 0.2525$       &#8230; ____(1)<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3: <\/strong>First ensure that only the repeating digits come after the decimal point. (<em>You can move the decimal point by multiplying the decimal by a suitable power of 10<\/em>). Then multiply both the sides of the equation by a power of ten equal to the number of repeating digits.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$x = 0.2525$        &#8230;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$100 x = 100 \\times 0.2525$       &#8230;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$100 x = 25.25$                &#8230; ____(2)<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 4:<\/strong> Subtract equation (1) from (2) and simplify.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$100x\\;-\\;x = 25.25$       &#8230;$-0.2525$           &#8230;.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$99x = 25$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$x = \\frac{25}{99}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-converting-decimals-to-mixed-fractions\">Converting Decimals to Mixed Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Mixed numbers or mixed fractions consist of a whole number and a proper fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Examples: <\/strong>$7\\frac{1}{2},\\; 3\\frac{3}{4}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Mixed numbers are always greater than 1. Thus, decimals that are greater than 1 can be written as mixed numbers. Let\u2019s understand the steps to convert a decimal to a mixed fraction with an example.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Convert 10.5 into a mixed fraction.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> Split the decimal into its whole number part and the decimal part.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$10.5 = 10 + 0.5$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Whole number part: 10<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Decimal part: 0.5<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2:<\/strong> Convert the decimal part into fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{0.5}{1} = \\frac{5}{10} = \\frac{1}{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3: <\/strong>Write the whole number part with the fraction obtained in step 2.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$10.5 = 10\\frac{1}{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-converting-negative-decimals-to-fractions\">Converting Negative Decimals to Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">To convert a negative decimal to a fraction, we first consider the decimal without the negative sign and follow the conversion steps that we discussed previously. Finally, attach the negative sign to the final answer.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example: Convert the decimal <\/strong><strong>-9.3<\/strong><strong> into a fraction.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$9.3 = \\frac{93}{10}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, $-9.3 = \\;-\\;\\frac{93}{10}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-decimal-to-fraction-conversion-table\">Decimal to Fraction Conversion Table<\/h2>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Decimal<\/th><th class=\"has-text-align-center\" data-align=\"center\">Fractional<\/th><th class=\"has-text-align-center\" data-align=\"center\">Simplest form<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">0.1<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{10}$&nbsp;<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{10}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">0.2<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{2}{10}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{5}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">0.3<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{3}{10}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{3}{10}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">0.4<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{4}{10}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{2}{5}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">0.5<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{5}{10}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{2}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">0.75<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{75}{100}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{3}{4}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">0.125<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{125}{1000}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{8}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1.25<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{125}{100}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{5}{4}$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we learned about decimals to fractions conversion with respect to terminating decimals and repeating decimals. Let\u2019s solve a few examples and practice problems based on the same.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-solved-examples-on-decimal-to-fraction-conversion\">Solved Examples on Decimal to Fraction Conversion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Convert 0.125 to fractional form.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$0.125 =&nbsp; \\frac{0.125}{1}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The terminating decimal 0.125 has three digits after the decimal point. Multiply the numerator and denominator by 1000.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{0.125}{1} = \\frac{0.125\\times 1000}{1 \\times 1000} \\frac{125}{1000} = \\frac{25}{200} = \\frac{1}{8}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, $0.125 = \\frac{1}{8}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Convert 8.75 to a fraction.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$8.75 = \\frac{875}{100}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{175}{20}$ \u2026dividing both numerator and denominator by 5<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{35}{4}$ \u2026dividing both numerator and denominator by 5<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, $8.75 = \\frac{35}{4}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Convert 4.5555\u2026 to a fraction.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">4.555\u2026 is a repeating decimal with one repeating digit (5).<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x=4.555&#8230; \u2026(1)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiplu (1) by $10^1 = 10$ since only 1 digit is repeating.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$10x = 45.555$        &#8230; \u2026(2)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Subtracting (1) from (2), we get<\/p>\n\n\n\n<p class=\"eplus-wrapper\">10x\\;-\\;x = 45.555$&#8230;$-4.555$&#8230;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$9x = 41$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$x = \\frac{41}{9}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, 4.5555\u2026 $= \\frac{41}{9}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. Convert 10.75 to a mixed fraction.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$10.75 = 10 + 0.75$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Whole number part $= 10$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Decimal part $= 0.75$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Convert&nbsp; 0.75 into a fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$0.75 = \\frac{75}{100} =  34$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, 10.75 as a mixed fraction $= 10\\frac{3}{4}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-practice-problems-on-decimal-to-fraction-conversion\">Practice Problems on Decimal to Fraction Conversion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Convert Decimal to Fraction: Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Convert 0.375 to a fraction.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{9}{10}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{3}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{1}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{3}{4}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{3}{8}$<br\/>$0.375 = \\frac{375}{1000} = \\frac{3}{8}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Convert 6.125 to a mixed fraction.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$6\\frac{1}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$6\\frac{1}{4}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$6\\frac{4}{25}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$6\\frac{2}{8}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $6\\frac{1}{8}$<br\/>$6.125 = 6 +  0.125$<br>\r\nHere, $\\frac{125}{1000} = \\frac{1}{8}$<br>\r\nThus, $6.125 = 6\\frac{1}{8}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Convert 3.25 to a mixed fraction.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$6\\frac{49}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$3\\frac{1}{4}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$5\\frac{4}{25}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$7\\frac{2}{8}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $3\\frac{1}{4}$<br\/>$3.25 =  3 + 0.25$<br>\r\n$0.25 = \\frac{25}{100} = \\frac{1}{4}$<br>\r\nHence,  $3.25 = 3\\frac{1}{4}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">0.007 $=$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{007}{10}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{7}{10}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{7}{1000}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{7}{100}$<\/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: $\\frac{7}{1000}$<br\/>$0.007 = \\frac{7}{1000}$<\/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\": \"Convert Decimal to Fraction: Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Convert Decimal to Fraction\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert 0.375 to a fraction.\",\n                    \"text\": \"Convert 0.375 to a fraction.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$0.375 = \\\\frac{375}{1000} = \\\\frac{3}{8}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{9}{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.375 = \\\\frac{375}{1000} = \\\\frac{3}{8}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.375 = \\\\frac{375}{1000} = \\\\frac{3}{8}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{4}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.375 = \\\\frac{375}{1000} = \\\\frac{3}{8}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{3}{8}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$0.375 = \\\\frac{375}{1000} = \\\\frac{3}{8}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$0.375 = \\\\frac{375}{1000} = \\\\frac{3}{8}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert 6.125 to a mixed fraction.\",\n                    \"text\": \"Convert 6.125 to a mixed fraction.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$6.125 = 6 +  0.125$$<br>\r\nHere, $$\\\\frac{125}{1000} = \\\\frac{1}{8}$$<br>\r\nThus, $$6.125 = 6\\\\frac{1}{8}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$6\\\\frac{1}{4}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6.125 = 6 +  0.125$$<br>\r\nHere, $$\\\\frac{125}{1000} = \\\\frac{1}{8}$$<br>\r\nThus, $$6.125 = 6\\\\frac{1}{8}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$6\\\\frac{4}{25}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6.125 = 6 +  0.125$$<br>\r\nHere, $$\\\\frac{125}{1000} = \\\\frac{1}{8}$$<br>\r\nThus, $$6.125 = 6\\\\frac{1}{8}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$6\\\\frac{2}{8}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6.125 = 6 +  0.125$$<br>\r\nHere, $$\\\\frac{125}{1000} = \\\\frac{1}{8}$$<br>\r\nThus, $$6.125 = 6\\\\frac{1}{8}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$6\\\\frac{1}{8}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$6.125 = 6 +  0.125$$<br>\r\nHere, $$\\\\frac{125}{1000} = \\\\frac{1}{8}$$<br>\r\nThus, $$6.125 = 6\\\\frac{1}{8}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$6.125 = 6 +  0.125$$<br>\r\nHere, $$\\\\frac{125}{1000} = \\\\frac{1}{8}$$<br>\r\nThus, $$6.125 = 6\\\\frac{1}{8}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert 3.25 to a mixed fraction.\",\n                    \"text\": \"Convert 3.25 to a mixed fraction.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$3.25 =  3 + 0.25$$<br>\r\n$$0.25 = \\\\frac{25}{100} = \\\\frac{1}{4}$$<br>\r\nHence,  $$3.25 = 3\\\\frac{1}{4}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$6\\\\frac{49}{8}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3.25 =  3 + 0.25$$<br>\r\n$$0.25 = \\\\frac{25}{100} = \\\\frac{1}{4}$$<br>\r\nHence,  $$3.25 = 3\\\\frac{1}{4}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$5\\\\frac{4}{25}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3.25 =  3 + 0.25$$<br>\r\n$$0.25 = \\\\frac{25}{100} = \\\\frac{1}{4}$$<br>\r\nHence,  $$3.25 = 3\\\\frac{1}{4}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$7\\\\frac{2}{8}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$3.25 =  3 + 0.25$$<br>\r\n$$0.25 = \\\\frac{25}{100} = \\\\frac{1}{4}$$<br>\r\nHence,  $$3.25 = 3\\\\frac{1}{4}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$3\\\\frac{1}{4}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$3.25 =  3 + 0.25$$<br>\r\n$$0.25 = \\\\frac{25}{100} = \\\\frac{1}{4}$$<br>\r\nHence,  $$3.25 = 3\\\\frac{1}{4}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$3.25 =  3 + 0.25$$<br>\r\n$$0.25 = \\\\frac{25}{100} = \\\\frac{1}{4}$$<br>\r\nHence,  $$3.25 = 3\\\\frac{1}{4}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"0.007 $$=$$\",\n                    \"text\": \"0.007 $$=$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$0.007 = \\\\frac{7}{1000}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{007}{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.007 = \\\\frac{7}{1000}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{7}{10}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.007 = \\\\frac{7}{1000}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{7}{100}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.007 = \\\\frac{7}{1000}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{7}{1000}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$0.007 = \\\\frac{7}{1000}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$0.007 = \\\\frac{7}{1000}$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-frequently-asked-questions-on-decimals-to-fractions-conversion\">Frequently Asked Questions on Decimals to Fractions Conversion<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-65e679ae-ebd5-44f0-9697-7281510bd0e6\" 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-0-65e679ae-ebd5-44f0-9697-7281510bd0e6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-65e679ae-ebd5-44f0-9697-7281510bd0e6\"><strong>Can you convert a non-terminating, non-repeating decimal into 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-0-65e679ae-ebd5-44f0-9697-7281510bd0e6\">\n\n<p class=\"eplus-wrapper\">No, such decimals cannot be converted into fractions. They are irrational numbers.<\/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-1-65e679ae-ebd5-44f0-9697-7281510bd0e6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-65e679ae-ebd5-44f0-9697-7281510bd0e6\"><strong>How can we find a decimal from 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-1-65e679ae-ebd5-44f0-9697-7281510bd0e6\">\n\n<p class=\"eplus-wrapper\">To convert a fraction into a decimal, divide the numerator by the denominator using the long division method. The quotient obtained as a result represents the required decimal value.<\/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-2-65e679ae-ebd5-44f0-9697-7281510bd0e6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-65e679ae-ebd5-44f0-9697-7281510bd0e6\"><strong>What is a mixed recurring 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-2-65e679ae-ebd5-44f0-9697-7281510bd0e6\">\n\n<p class=\"eplus-wrapper\">A decimal in which at least one of the digits after the decimal point is non-repeated and some digits are repeated is known as a <strong>mixed recurring decimal<\/strong>.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example: 1.34666\u2026<\/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-3-65e679ae-ebd5-44f0-9697-7281510bd0e6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-65e679ae-ebd5-44f0-9697-7281510bd0e6\"><strong>Can every fraction be written as a decimal number?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-65e679ae-ebd5-44f0-9697-7281510bd0e6\">\n\n<p class=\"eplus-wrapper\">Yes, each fraction can be written as a decimal number. You just have to divide the numerator by the denominator.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Decimals To Fractions Conversion? Decimals to fractions conversion refers to writing a given decimal in the form of a fraction. To convert decimals into fractions, we first need to identify the type of the decimal we are dealing with.&nbsp; We can express the following decimals as fractions. Terminating decimals Decimals that have &#8230; <a title=\"Convert Decimal to Fraction: Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/convert-decimal-to-fraction\" aria-label=\"More on Convert Decimal to Fraction: Definition with Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-28318","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\/28318","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=28318"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/28318\/revisions"}],"predecessor-version":[{"id":39891,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/28318\/revisions\/39891"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=28318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=28318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=28318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}