{"id":42048,"date":"2024-06-03T19:33:00","date_gmt":"2024-06-03T19:33:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=42048"},"modified":"2024-06-04T09:55:15","modified_gmt":"2024-06-04T09:55:15","slug":"converting-fractions-into-decimals-methods-facts-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/convert-fraction-to-decimal","title":{"rendered":"Converting Fractions into Decimals &#8211; Methods, Facts, 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-8f22065a-bed1-483d-abfd-ae9e41a7d794\" 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-fraction-to-decimal#0-what-is-fractions-to-decimals-conversion>What Is Fractions-to-Decimals Conversion?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/convert-fraction-to-decimal#1-how-to-convert-fractions-into-decimals>How to Convert Fractions into Decimals<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/convert-fraction-to-decimal#5-when-do-fractions-turn-into-terminating-and-repeating-decimals>When Do Fractions Turn into Terminating and Repeating Decimals?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/convert-fraction-to-decimal#8-solved-examples-on-converting-fractions-into-decimals>Solved Examples on Converting Fractions into Decimals<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/convert-fraction-to-decimal#9-practice-problems-on-converting-fractions-into-decimals>Practice Problems on Converting Fractions into Decimals<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/convert-fraction-to-decimal#10-frequently-asked-questions-about-converting-fractions-into-decimals>Frequently Asked Questions about Converting Fractions into Decimals<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-fractions-to-decimals-conversion\">What Is Fractions-to-Decimals Conversion?<\/h2>\n\n\n\n<p>Converting a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\">fraction<\/a> into its equivalent <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/decimal\">decimal<\/a> form is known as fraction-to-decimal conversion. Converting fractions to decimals allows for more accurate and precise mathematical calculations.&nbsp;<\/p>\n\n\n\n<p>Fraction to a decimal formula is given as a \u00f7 b, where a is the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\">numerator<\/a> and b is the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\">denominator<\/a> of the fraction. In simple words, to turn fractions into decimals, we simply divide the numerator by the denominator.<\/p>\n\n\n\n<p>In this conversion, you express a fraction as a decimal number with a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers#:~:text=Whole%20numbers%20include%20natural%20numbers,some%20examples%20of%20whole%20numbers.&amp;text=The%20set%20of%20whole%20numbers,9%2C%2010%2C.%E2%80%A6%7D\">whole number<\/a> part and a decimal part.<\/p>\n\n\n\n<p><strong>Example: <\/strong>When you convert the fraction $\\frac{3}{4}$ to a decimal, you get 0.75. Here, 0 is the whole number part, and 0.75 is the decimal part.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"487\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/34-fraction-as-a-decimal.png\" alt=\"34 fraction as a decimal\" class=\"wp-image-42055\" title=\"34 fraction as a decimal\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/34-fraction-as-a-decimal.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/34-fraction-as-a-decimal-300x236.png 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-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 = 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});\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-how-to-convert-fractions-into-decimals\">How to Convert Fractions into Decimals<\/h2>\n\n\n\n<p>There\u2019s no specific fraction-to-decimal formula for conversion. Let\u2019s learn two ways to turn fractions into decimals:<\/p>\n\n\n\n<p>1. <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/long-division\">Long division method<\/a><\/p>\n\n\n\n<p>2. By converting the denominator of the fraction into a power of 10<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"2-how-to-convert-fractions-into-decimals-using-the-long-division-method\">How to Convert Fractions into Decimals Using the Long Division Method<\/h3>\n\n\n\n<p>In this method, we treat the numerator as a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/dividend#:~:text=In%20a%20division%20problem%2C%20the,5%20is%20called%20the%20divisor.&amp;text=20%20%C3%B7%205%20%3D%204.\">dividend<\/a> and the denominator as the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/divisor\">divisor<\/a>. We carry out the long division till we get 0 as the remainder or at least three decimal places in the quotient. Using the long division method, let&#8217;s take examples to understand how to convert a fraction into a decimal.&nbsp;<\/p>\n\n\n\n<p><strong>Example 1: Find the decimal form of the fraction <\/strong>$\\frac{7}{5}$<strong> using the long division method.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"581\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-75-into-a-decimal-using-the-long-division-method.png\" alt=\"Converting 7\/5 into a decimal using the long division method\" class=\"wp-image-42056\" title=\"Converting 7\/5 into a decimal using the long division method\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-75-into-a-decimal-using-the-long-division-method.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-75-into-a-decimal-using-the-long-division-method-300x281.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Example 2: Find the decimal form of the fraction <\/strong>$\\frac{3}{5}$<strong> using the long division method.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"509\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-\u2157-into-a-decimal-using-the-long-division-method.png\" alt=\"Converting \u2157 into a decimal using the long division method\" class=\"wp-image-42057\" title=\"Converting \u2157 into a decimal using the long division method\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-\u2157-into-a-decimal-using-the-long-division-method.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-\u2157-into-a-decimal-using-the-long-division-method-300x246.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Example 3: Convert <\/strong>$\\frac{2}{11}$<strong> into a decimal.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"619\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-211-into-a-decimal-using-the-long-division-method.png\" alt=\"Converting 2\/11 into a decimal using the long division method\" class=\"wp-image-42058\" title=\"Converting 2\/11 into a decimal using the long division method\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-211-into-a-decimal-using-the-long-division-method.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-211-into-a-decimal-using-the-long-division-method-300x300.png 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-211-into-a-decimal-using-the-long-division-method-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-211-into-a-decimal-using-the-long-division-method-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-211-into-a-decimal-using-the-long-division-method-120x120.png 120w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3-how-to-convert-fractions-into-decimals-by-changing-the-denominator-into-a-power-of-10\">How to Convert Fractions into Decimals by Changing the Denominator into a Power of 10<\/h3>\n\n\n\n<p>In this method, we multiply both the numerator and denominator by an appropriate number such that the denominator changes into a power of 10. Simply put, we try to convert the fraction into a decimal fraction. A fraction whose denominator is a power of 10 can be easily converted into a decimal by simply moving the decimal point.<\/p>\n\n\n\n<p><strong>Note:&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><em>When we multiply both the numerator and denominator by the same number, we are not changing the value of the fraction. We are just finding the equivalent fraction with the denominator as a power of 10.<\/em><\/li>\n\n\n\n<li><em>This method is perfect for fractions whose denominator can be changed into a power of 10. For fractions like <\/em>$\\frac{3}{7}$<strong><em> <\/em><\/strong><em>or <\/em>&nbsp;$\\frac{1}{3}$<em>, this method is not suitable.<\/em><\/li>\n<\/ul>\n\n\n\n<p><strong>Example 1: Convert <\/strong>$\\frac{4}{5}$<strong> into a decimal.<\/strong><\/p>\n\n\n\n<p>Numerator $= 4$<\/p>\n\n\n\n<p>Denominator $= 5$<\/p>\n\n\n\n<p>Think of a number by which we can multiply 5 to turn it into a power of 10.<\/p>\n\n\n\n<p>5 times 2 is 10.<\/p>\n\n\n\n<p>$5 \\times 2 = 10$<\/p>\n\n\n\n<p>Thus, multiply the numerator and denominator by 2.<\/p>\n\n\n\n<p>$\\frac{4}{5} = \\frac{4 \\times 2}{5 \\times 2} = \\frac{8}{10} = 0.8$<\/p>\n\n\n\n<p><strong>Example 2: Find the decimal form of the fraction <\/strong>$\\frac{3}{8}$<strong>.<\/strong><\/p>\n\n\n\n<p>Numerator $= 3$<\/p>\n\n\n\n<p>Denominator $= 8$<\/p>\n\n\n\n<p>We know that $8 \\times 125 = 1000$<\/p>\n\n\n\n<p>Thus, multiply the numerator and denominator by 125.<\/p>\n\n\n\n<p>$\\frac{3}{8} = \\frac{3  \\times 125}{8  \\times  125} = \\frac{375}{1000} = 0.375$<\/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 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class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-a-whole-and-a-decimal-number-horizontal-timed-practice.jpeg\" alt=\"Add a Whole and a Decimal Number: Horizontal Timed Practice\">\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 = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"4-fraction-to-decimal-chart\">Fraction-to-Decimal Chart<\/h2>\n\n\n\n<p>The Fraction to Decimal chart simplifies the conversion by displaying common fractions and their decimal equivalents.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In proper fractions, the numerator is less than the denominator. Thus, the resulting decimals are also less than 1.<\/li>\n\n\n\n<li>In improper fractions, the numerator is greater than or equal to the denominator. Thus, the resulting decimals are greater than or equal to 1.<\/li>\n<\/ul>\n\n\n\n<p>Let\u2019s convert some common fractions to decimals and list them in a chart.<\/p>\n\n\n\n<figure class=\"wp-block-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>Decimal<\/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\">0.5<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{3}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$0.\\overline{3} = 0.333$\u2026<\/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\">0.25<\/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\">0.2<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{6}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.16<\/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\">0.125<\/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\">0.1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{100}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.01<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{3}{7}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$0.\\overline{428571}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{3}{2}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">1.5<\/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\">0.75<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{4}{3}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">1.33\u2026<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-when-do-fractions-turn-into-terminating-and-repeating-decimals\">When Do Fractions Turn into Terminating and Repeating Decimals?<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the denominator of the fraction in its lowest form has the prime factorization consisting only of 2s and\/or 5s, then the fraction results in a terminating decimal.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p><strong>Example: <\/strong>$\\frac{7}{16}$<\/p>\n\n\n\n<p>The fraction is already in its lowest form.<\/p>\n\n\n\n<p>Denominator $= 16 = 2 \\times 2 \\times 2 \\times 2$<\/p>\n\n\n\n<p>The prime factorization of the denominator only contains 2s.<\/p>\n\n\n\n<p>$\\frac{7}{16} = \\frac{7 \\times 625}{16 \\times 625} = \\frac{4375}{10,000} = 0.4375$<strong>  \u2026terminating decimal<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the denominator of the fraction in its lowest form has the prime factorization consisting of factors other than 2s and 5s, then the fraction results in a repeating decimal.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p><strong>Example<\/strong>: $\\frac{10}{24}$<\/p>\n\n\n\n<p>$\\frac{10}{24}$ in lowest form $= \\frac{5}{12}$<\/p>\n\n\n\n<p>Denominator $= 12 = 2 \\times 2 \\times 3$<\/p>\n\n\n\n<p>The prime factorization of the denominator has 2s and 3s.<\/p>\n\n\n\n<p>$\\frac{10}{24} = \\frac{5}{12} = 0.416$ <strong>\u2026repeating decimal<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"529\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-512-into-a-decimal.png\" alt=\"Converting 5\/12 into a decimal\" class=\"wp-image-42059\" title=\"Converting 5\/12 into a decimal\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-512-into-a-decimal.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-512-into-a-decimal-300x256.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Alt tag: Converting 5\/12 into a decimal<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-converting-fractions-into-decimals\">Facts about Converting Fractions into Decimals<\/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>Reducing fractions to the lowest terms simplifies division by making numbers smaller and more manageable.<\/li>\n\n\n\n<li>Fraction-to-decimal conversion involves expressing a fraction as a decimal number.<\/li>\n\n\n\n<li>Proper fractions always result in decimal values less than 1.<\/li>\n\n\n\n<li>Improper fractions can give decimal values equal to or greater than 1.<\/li>\n\n\n\n<li>The decimal value of a fraction is determined by dividing the numerator by the denominator.<\/li>\n\n\n\n<li>Some fractions, when converted into decimals, result in repeating or recurring decimals.<\/li>\n\n\n\n<li>Equivalent fractions have the same decimal representation.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the fraction-to-decimal conversion with two methods and several examples. Let\u2019s take a look at a few more solved examples and practice problems for better comprehension.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-converting-fractions-into-decimals\">Solved Examples on Converting Fractions into Decimals<\/h2>\n\n\n\n<p><strong>Example 1: Convert <\/strong>$\\frac{2}{5}$<strong> into decimal form using the long division method.<\/strong><\/p>\n\n\n\n<p>$\\frac{2}{5}$<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>To convert $\\frac{2}{5}$ to a decimal, divide the numerator 2 by the denominator 5.&nbsp;<\/p>\n\n\n\n<p>$\\frac{2}{5} = 0.4$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"99\" height=\"225\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/06\/converting-\u2156-into-a-decimal-using-the-long-division-method.png\" alt=\"Converting \u2156 into a decimal using the long division method\" class=\"wp-image-42060\" title=\"Converting \u2156 into a decimal using the long division method\"\/><\/figure>\n\n\n\n<p><strong>Example 2: Find the decimal form of <\/strong>$\\frac{9}{25}$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Numerator $= 9$<\/p>\n\n\n\n<p>Denominator $= 25$<\/p>\n\n\n\n<p>We know that \u201c25 times 4 is 100.\u201d<\/p>\n\n\n\n<p>Thus, multiply both the numerator and the denominator by 4.<\/p>\n\n\n\n<p>$\\frac{9}{25} = \\frac{9 \\times 4}{25 \\times 4 = \\frac{36}{100} = 0.36$&nbsp;<\/p>\n\n\n\n<p>Thus, $\\frac{9}{25} = 0.36$<\/p>\n\n\n\n<p><strong>Example 3. <\/strong>Compare $\\frac{11}{20}$<strong> <\/strong>and 0.5.<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let\u2019s convert $\\frac{11}{20}$ into a decimal form to compare it with 0.5 easily.<\/p>\n\n\n\n<p>To convert $\\frac{11}{20}$ to a decimal, multiply both the numerator and the denominator by 5.<\/p>\n\n\n\n<p>$\\frac{11}{20} = \\frac{11 \\times 5}{20 \\times 5} = \\frac{55}{100} = 0.55$<\/p>\n\n\n\n<p>We know that 0.5 &lt; 0.55<\/p>\n\n\n\n<p>Thus, 0.5 &lt; <strong>11<\/strong><strong>20<\/strong><strong>.<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-converting-fractions-into-decimals\">Practice Problems on Converting Fractions into Decimals<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Converting Fractions into Decimals - Methods, Facts, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following fractions has a decimal equivalent of 0.6?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{3}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{2}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{5}{8}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{1}{6}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{3}{5}$<br\/>$0.6 = \\frac{6}{10} = \\frac{3}{5}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the decimal equivalent of the fraction $\\frac{5}{8}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0.125<\/div><div class=\"spq_answer_block\" data-value=\"1\">0.75<\/div><div class=\"spq_answer_block\" data-value=\"2\">0.4<\/div><div class=\"spq_answer_block\" data-value=\"3\">0.625<\/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: 0.625<br\/>$\\frac{5}{8} = \\frac{5 \\times 125}{8  \\times 125} = \\frac{625}{1000} = 0.625$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">To convert a fraction into a decimal,<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">divide the numerator by the denominator.<\/div><div class=\"spq_answer_block\" data-value=\"1\">multiply the numerator by the denominator.<\/div><div class=\"spq_answer_block\" data-value=\"2\">add the numerator to the denominator.<\/div><div class=\"spq_answer_block\" data-value=\"3\">divide the denominator by the numerator<\/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: divide the numerator by the denominator.<br\/>To convert a fraction into a decimal, divide the numerator by the denominator.<\/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\">A proper fraction always results in a decimal<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Less than 0<\/div><div class=\"spq_answer_block\" data-value=\"1\">Less than 1<\/div><div class=\"spq_answer_block\" data-value=\"2\">Greater than 1<\/div><div class=\"spq_answer_block\" data-value=\"3\">Greater than or equal to 1<\/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: Less than 1<br\/>A proper fraction is less than 1. So, its decimal equivalent is always less than 1.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What is the decimal equivalent of the fraction $\\frac{7}{10}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0.07<\/div><div class=\"spq_answer_block\" data-value=\"1\">0.17<\/div><div class=\"spq_answer_block\" data-value=\"2\">0.7<\/div><div class=\"spq_answer_block\" data-value=\"3\">1.7<\/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: 0.7<br\/>To convert $\\frac{7}{10}$ to a decimal, divide 7 by 10, which equals 0.7.<\/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 into Decimals - Methods, Facts, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Converting Fractions into Decimals\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following fractions has a decimal equivalent of 0.6?\",\n                    \"text\": \"Which of the following fractions has a decimal equivalent of 0.6?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$0.6 = \\\\frac{6}{10} = \\\\frac{3}{5}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{2}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.6 = \\\\frac{6}{10} = \\\\frac{3}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{5}{8}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.6 = \\\\frac{6}{10} = \\\\frac{3}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.6 = \\\\frac{6}{10} = \\\\frac{3}{5}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{3}{5}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$0.6 = \\\\frac{6}{10} = \\\\frac{3}{5}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$0.6 = \\\\frac{6}{10} = \\\\frac{3}{5}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the decimal equivalent of the fraction $$\\\\frac{5}{8}$$?\",\n                    \"text\": \"What is the decimal equivalent of the fraction $$\\\\frac{5}{8}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\frac{5}{8} = \\\\frac{5 \\\\times 125}{8  \\\\times 125} = \\\\frac{625}{1000} = 0.625$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.125\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{5}{8} = \\\\frac{5 \\\\times 125}{8  \\\\times 125} = \\\\frac{625}{1000} = 0.625$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.75\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{5}{8} = \\\\frac{5 \\\\times 125}{8  \\\\times 125} = \\\\frac{625}{1000} = 0.625$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{5}{8} = \\\\frac{5 \\\\times 125}{8  \\\\times 125} = \\\\frac{625}{1000} = 0.625$$\"\n                        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\"learningResourceType\": \"Practice problem\",\n                    \"name\": \"To convert a fraction into a decimal,\",\n                    \"text\": \"To convert a fraction into a decimal,\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"To convert a fraction into a decimal, divide the numerator by the denominator.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"multiply the numerator by the denominator.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To convert a fraction into a decimal, divide the numerator by the denominator.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"add the numerator to the denominator.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To convert a fraction into a decimal, divide the numerator by the denominator.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"divide the denominator by the numerator\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To convert a fraction into a decimal, divide the numerator by the denominator.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"divide the numerator by the denominator.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"To convert a fraction into a decimal, divide the numerator by the denominator.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"To convert a fraction into a decimal, divide the numerator by the denominator.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A proper fraction always results in a decimal\",\n                    \"text\": \"A proper fraction always results in a decimal\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A proper fraction is less than 1. So, its decimal equivalent is always less than 1.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Less than 0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A proper fraction is less than 1. So, its decimal equivalent is always less than 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Greater than 1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A proper fraction is less than 1. So, its decimal equivalent is always less than 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Greater than or equal to 1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A proper fraction is less than 1. So, its decimal equivalent is always less than 1.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Less than 1\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A proper fraction is less than 1. So, its decimal equivalent is always less than 1.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A proper fraction is less than 1. So, its decimal equivalent is always less than 1.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the decimal equivalent of the fraction $$\\\\frac{7}{10}$$?\",\n                    \"text\": \"What is the decimal equivalent of the fraction $$\\\\frac{7}{10}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"To convert $$\\\\frac{7}{10}$$ to a decimal, divide 7 by 10, which equals 0.7.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.07\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To convert $$\\\\frac{7}{10}$$ to a decimal, divide 7 by 10, which equals 0.7.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.17\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To convert $$\\\\frac{7}{10}$$ to a decimal, divide 7 by 10, which equals 0.7.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1.7\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To convert $$\\\\frac{7}{10}$$ to a decimal, divide 7 by 10, which equals 0.7.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"0.7\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"To convert $$\\\\frac{7}{10}$$ to a decimal, divide 7 by 10, which equals 0.7.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"To convert $$\\\\frac{7}{10}$$ to a decimal, divide 7 by 10, which equals 0.7.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-about-converting-fractions-into-decimals\">Frequently Asked Questions about Converting Fractions into Decimals<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-55c8c49c-f111-4ed9-a420-975f4a46beaa\" 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-0-55c8c49c-f111-4ed9-a420-975f4a46beaa\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-55c8c49c-f111-4ed9-a420-975f4a46beaa\"><strong>What is a terminating 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-0-55c8c49c-f111-4ed9-a420-975f4a46beaa\">\n\n<p>A terminating decimal is a decimal number that ends or terminates after a finite number of decimal places. For example, $\\frac{1}{5} = 0.2$ is a terminating decimal.<\/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-1-55c8c49c-f111-4ed9-a420-975f4a46beaa\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-55c8c49c-f111-4ed9-a420-975f4a46beaa\"><strong>What is a repeating 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-1-55c8c49c-f111-4ed9-a420-975f4a46beaa\">\n\n<p>A recurring decimal is a non-terminating decimal with a non-zero digit or sequence repeating repeatedly without ever ending. For example, $\\frac{1}{6} = 0.1666$&#8230; has the repeating digit &#8220;6.&#8221;<\/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-2-55c8c49c-f111-4ed9-a420-975f4a46beaa\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-55c8c49c-f111-4ed9-a420-975f4a46beaa\"><strong>Can all fractions be converted into decimals?<\/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-2-55c8c49c-f111-4ed9-a420-975f4a46beaa\">\n\n<p>Yes, all fractions can be converted to decimals.<\/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-3-55c8c49c-f111-4ed9-a420-975f4a46beaa\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-55c8c49c-f111-4ed9-a420-975f4a46beaa\"><strong>What is the relationship between fractions and decimals?<\/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-3-55c8c49c-f111-4ed9-a420-975f4a46beaa\">\n\n<p>Fractions and decimals are two different ways to represent the parts of a whole.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-55c8c49c-f111-4ed9-a420-975f4a46beaa\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-55c8c49c-f111-4ed9-a420-975f4a46beaa\"><strong>Are all fractions rational numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-55c8c49c-f111-4ed9-a420-975f4a46beaa\">\n\n<p>Yes, all fractions are rational numbers.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Fractions-to-Decimals Conversion? Converting a fraction into its equivalent decimal form is known as fraction-to-decimal conversion. Converting fractions to decimals allows for more accurate and precise mathematical calculations.&nbsp; Fraction to a decimal formula is given as a \u00f7 b, where a is the numerator and b is the denominator of the fraction. In simple &#8230; <a title=\"Converting Fractions into Decimals &#8211; Methods, Facts, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/convert-fraction-to-decimal\" aria-label=\"More on Converting Fractions into Decimals &#8211; Methods, Facts, 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":[],"tags":[],"class_list":["post-42048","post","type-post","status-publish","format-standard","hentry"],"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\/42048","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=42048"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/42048\/revisions"}],"predecessor-version":[{"id":42065,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/42048\/revisions\/42065"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=42048"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=42048"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=42048"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}