{"id":1170,"date":"2013-06-06T07:23:46","date_gmt":"2013-06-06T07:23:46","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=1170"},"modified":"2026-03-28T10:36:05","modified_gmt":"2026-03-28T15:36:05","slug":"converting-fractions-to-percentages-and-decimals","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/converting-fractions-to-percentages-and-decimals\/","title":{"rendered":"Converting Fractions into Decimals and Percentages"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_U6K56i-Tnn4\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_U6K56i-Tnn4\" data-source-videoID=\"U6K56i-Tnn4\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Converting Fractions into Decimals and Percentages Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Converting Fractions into Decimals and Percentages\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_U6K56i-Tnn4:hover {cursor:pointer;} img#videoThumbnailImage_U6K56i-Tnn4 {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/721-converting-fractions-to-percentages-and-decimals-2-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_U6K56i-Tnn4\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_U6K56i-Tnn4\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Converting Fractions into Decimals and Percentages\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_U6K56i-Tnn4\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_U6K56i-Tnn4\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_U6K56i-Tnn4\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction HRj_Function() {\n  var x = document.getElementById(\"HRj\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"HRj_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"HRj\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Key_Concepts_to_Remember\" class=\"smooth-scroll\">Key Concepts to Remember<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Converting_Fraction_to_Decimal\" class=\"smooth-scroll\">Converting Fraction to Decimal<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#How_to_Convert_Fraction_to_Percent\" class=\"smooth-scroll\">How to Convert Fraction to Percent<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Frequently_Asked_Questions\" class=\"smooth-scroll\">Frequently Asked Questions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Fractions_into_Decimals_and_Percentages_Conversion_Chart_PDF\" class=\"smooth-scroll\">Fractions into Decimals and Percentages Conversion Chart PDF<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Converting_Fractions_into_Decimals_and_Percentages_Practice_Questions\" class=\"smooth-scroll\">Converting Fractions into Decimals and Percentages Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"FAQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"FAQs\">FAQs<\/label><input id=\"factsheet\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"factsheet\">Fact Sheet<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label><a href=\"https:\/\/www.mometrix.com\/academy\/fractions-to-decimals-and-percentages-calculator\/\" target=\"none\" style=\"margin: 0 auto;\"><span class=\"accordion_calculator_button\">Calculator<\/span><\/a><\/p>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hello and welcome to this video about converting fractions to decimals and percents! In this video, we will explore:<\/p>\n<ul>\n<li>How to visually convert <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/fractions\/\">fractions<\/a> to <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/decimals\/\">decimals<\/a> and <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/percentages\/\">percents<\/a><\/li>\n<li>How to numerically convert fractions to decimals and percents<\/li>\n<\/ul>\n<h2><span id=\"Key_Concepts_to_Remember\" class=\"m-toc-anchor\"><\/span>Key Concepts to Remember<\/h2>\n<p>\nBefore we get started, let\u2019s review a couple of key concepts that we will use to help the math make sense.<\/p>\n<p>Consider the fraction \\(\\frac{10}{10}\\). One way to think about fractions is to think of them as division. <\/p>\n<p><span style=\"font-size: 120%;\">\\(\\frac{10}{10}=1\\)<\/span><br \/>\n&nbsp;<br \/>\nIn other words, ten-tenths is one whole.<\/p>\n<p>The fraction <span style=\"font-size: 120%;\">\\(\\frac{10}{10}\\)<\/span> can be written equivalently as <span style=\"font-size: 120%;\">\\(\\frac{100}{100}\\)<\/span>. The fraction bar can be said as \u201cper,\u201d so this expression can be said as \u201c100 per 100.\u201d The word \u201cpercent\u201d literally means \u201cper 100,\u201d so \u201c100 per 100\u201d means 100 percent.<\/p>\n<p>Therefore, when the same number is divided by itself, the result as a decimal is 1 and as a percent is 100%.<\/p>\n<p>But what happens when our fraction is less than 1? Let\u2019s take a look.<\/p>\n<p>Consider the fraction \\(\\frac{1}{4}\\). Visually, this is what\u2019s happening:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/quarters-1.png\" alt=\"\" width=\"511\" height=\"136\" class=\"aligncenter size-full wp-image-85144\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/quarters-1.png 511w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/quarters-1-300x80.png 300w\" sizes=\"auto, (max-width: 511px) 100vw, 511px\" \/> <\/p>\n<p>We can see in the diagram that <span style=\"font-size: 120%;\">\\(\\frac{1}{4}\\)<\/span> of the whole is <span style=\"font-size: 120%;\">\\(\\frac{25}{100}\\)<\/span>. Since <span style=\"font-size: 120%;\">\\(\\frac{25}{100}\\)<\/span> means \u201c25 per 100,\u201d it equals 25%. <\/p>\n<p>Now let\u2019s figure out how to convert this into a decimal.<\/p>\n<h2><span id=\"Converting_Fraction_to_Decimal\" class=\"m-toc-anchor\"><\/span>Converting Fraction to Decimal<\/h2>\n<p>We&#8217;re going to take our fraction \\(\\frac{1}{4}\\), which is the same as saying 1 divided by 4. <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/first.png\" alt=\"\" width=\"166.5\" height=\"58.5\" class=\"aligncenter size-full wp-image-85171\" \/> <\/p>\n<p>Dividing this way doesn\u2019t look like it will work. But using our knowledge of <a href=\"https:\/\/www.mometrix.com\/academy\/place-value\/\"><strong>place value<\/strong><\/a>, we can make it work:<\/p>\n<p>First, rewrite the 1 as 1.0. Instead of 1, the dividend is now ten tenths.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/sventh-to-lasty.png\" alt=\"\" width=\"166.5\" height=\"58.5\" class=\"aligncenter size-full wp-image-85168\" \/><\/p>\n<p>Second, 4 ones will go into ten-tenths two-tenths times.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/sizth-to-last.png\" alt=\"\" width=\"166.5\" height=\"106.2\" class=\"aligncenter size-full wp-image-85165\" \/><\/p>\n<p>Third, \\(4\\times 0.2=0.8\\).<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/fifth-to-last.png\" alt=\"\" width=\"166.5\" height=\"150.3\" class=\"aligncenter size-full wp-image-85162\" \/><\/p>\n<p>Fourth, \\(1.0 -0.8 = 0.2\\).<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/fourth-to-last.png\" alt=\"\" width=\"166.5\" height=\"213.3\" class=\"aligncenter size-full wp-image-85159\" \/><\/p>\n<p>Fifth, we&#8217;re gonna rewrite the original dividend as 100-hundredths and bring the new 0 down.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/thiurd-to-lasty.png\" alt=\"\" width=\"166.5\" height=\"213.3\" class=\"aligncenter size-full wp-image-85156\" \/><\/p>\n<p>Sixth, 4 ones goes into 20-hundredths 5-hundredths times.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/sewcond-to-last.png\" alt=\"\" width=\"166.5\" height=\"213.3\" class=\"aligncenter size-full wp-image-85153\" \/><\/p>\n<p>Seventh, we&#8217;re gonna multiply \\(4\\times 0.05=0.20\\). Then we&#8217;ll subtract to get 0.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/Final.png\" alt=\"\" width=\"166.5\" height=\"323.1\" class=\"aligncenter size-full wp-image-85150\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/Final.png 185w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/Final-155x300.png 155w\" sizes=\"(max-width: 185px) 100vw, 185px\" \/><\/p>\n<p>This means <span style=\"font-size: 120%;\">\\(\\frac{1}{4}\\)<\/span>\\(=0.25\\).<\/p>\n<h2><span id=\"How_to_Convert_Fraction_to_Percent\" class=\"m-toc-anchor\"><\/span>How to Convert Fraction to Percent<\/h2>\n<p>Let\u2019s see this work with a non-unit fraction, like \\(\\frac{3}{16}\\).<\/p>\n<p>Here\u2019s what the division looks like. The sequence of adding a decimal and dividing repeats as often as necessary until either the remainder is 0 or the decimal begins to repeat.<\/p>\n<p>So, \\(\\frac{3}{16}=0.1875\\) and \\(0.1875=\\frac{1,875}{10,000}=\\frac{18.75}{100}\\). Therefore, 0.1875 is the same as 18.75% because it&#8217;s 18.75 <i>per,<\/i> 100.<\/p>\n<p>How about a <strong>repeating decimal<\/strong>? Everything is the same and the process can be stopped when it is clear that the decimal repeats. Here\u2019s a quick example: <span style=\"font-size: 120%;\">\\(\\frac{1}{3}\\)<\/span>.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/division-2.png\" alt=\"\" width=\"196.2\" height=\"447.3\" class=\"aligncenter size-full wp-image-85177\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/division-2.png 218w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/division-2-132x300.png 132w\" sizes=\"(max-width: 218px) 100vw, 218px\" \/> <\/p>\n<p>The process of subtracting 9 units from 10 units repeats, causing the decimal to repeat.<\/p>\n<p>Lastly, consider a fraction that is greater than 1, such as <span style=\"font-size: 120%;\">\\(\\frac{5}{2}\\)<\/span>.<\/p>\n<p>Visually, here\u2019s what we have:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/quarters-2.jpg\" alt=\"\" width=\"985\" height=\"137\" class=\"aligncenter size-full wp-image-85252\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/quarters-2.jpg 985w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/quarters-2-300x42.jpg 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/quarters-2-768x107.jpg 768w\" sizes=\"auto, (max-width: 985px) 100vw, 985px\" \/><\/p>\n<p>We can see that the shaded quantity is <span style=\"font-size: 120%;\">\\(\\frac{1}{2}+\\frac{1}{2}+\\frac{1}{2}+\\frac{1}{2}+\\frac{1}{2}=\\frac{5}{2}\\)<\/span>. Each <span style=\"font-size: 120%;\">\\(\\frac{1}{2}\\)<\/span>\\(=50\\), so we can say equivalently <span style=\"font-size: 120%;\">\\(\\frac{250}{100}\\)<\/span>, which, as a decimal, is 2.5 (meaning \\(2\\frac{1}{2}\\) wholes, which the diagram shows). We can also equivalently say 250 per 100, or 250%.<\/p>\n<p>And the same works for the division as well:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/division-2.jpg\" alt=\"\" width=\"144\" height=\"325.8\" class=\"aligncenter size-full wp-image-85255\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/division-2.jpg 160w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/division-2-133x300.jpg 133w\" sizes=\"(max-width: 160px) 100vw, 160px\" \/><\/p>\n<p>Thanks for watching and happy studying!<\/p>\n<p>For more help, check out our <a class=\"ylist\" target=\"_blank\" rel=\"noopener noreferrer\" href=\"https:\/\/www.mometrix.com\/academy\/fractions-to-decimals-and-percentages-calculator\/\">converting fractions calculator<\/a>!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Frequently_Asked_Questions\" class=\"m-toc-anchor\"><\/span>Frequently Asked Questions<\/h2>\n<div class=\"faq-list\">\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you change a fraction into a percent?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Converting a fraction to a percent can be accomplished in two quick steps.<\/p>\n<ol>\n<li style=\"margin-bottom: 10px\">Divide the numerator by the denominator.<\/li>\n<li>Multiply this decimal by 100.<\/li>\n<\/ol>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Convert \\(\\frac{2}{5}\\) to a percent. <\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\"> The fraction \\(\\frac{2}{5}\\) shows a numerator of 2 and a denominator of 5. The first step is to divide the numerator by the denominator:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/converting-fractions-02.svg\" alt=\"\" width=\"80\" height=\"28\" class=\"alignleft size-full wp-image-199166\" role=\"img\" \/><\/p>\n<p style=\"margin-top: 5em;\">This is the same as:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/converting-fractions-01.svg\" alt=\"\" width=\"53\" height=\"28\" class=\"alignleft size-full wp-image-199169\"  role=\"img\" \/><\/p>\n<p style=\"margin-top: 5em;\">This equals 0.4 when using the process of long division.<\/p>\n<p>Then, multiply this decimal by 100:<\/p>\n<p style=\"text-align: center\">\\(0.4\\times100=40\\)<\/p>\n<p style=\"margin-bottom: 0em\">This means that the fraction <span style=\"font-size: 120%;\">\\(\\frac{2}{5}\\)<\/span> represents 40%.<\/p>\n<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do I turn fractions into decimals? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Fractions can be converted into decimals by using long division. For example, the fraction <span style=\"font-size: 120%;\">\\(\\frac{4}{25}\\)<\/span> is expressing 4 divided by 25. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Converting-Fractions-Example-6.svg\" alt=\"Long division problem showing 4.00 divided by 25, resulting in 0.16, with each subtraction step displayed and a final remainder of 0.\" width=\"90\" height=\"142\" class=\"aligncenter size-full wp-image-286834\"  role=\"img\" \/><\/p>\n<p> The important thing to remember is that the fraction bar represents division, so fractions can be calculated as decimals by dividing the numerator by the denominator.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What is the meaning of a fraction bar?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>A fraction represents \u201cpart\u201d out of \u201cwhole.\u201d The fraction bar separating the \u201cpart\u201d and the \u201cwhole\u201d represents division. For example, the fraction <span style=\"font-size: 120%;\">\\(\\frac{5}{9}\\)<\/span> represents 5 parts out of 9 parts, or \u201c5 divided by 9.\u201d<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What does percent mean?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Percent means \u201cper 100.\u201d For example, 96% represents \u201c96 per 100.\u201d This also represents the fraction \\(\\frac{96}{100}\\).<\/p>\n<p>All percents can be expressed as a fraction because percents are always out of 100. Percents will sometimes be smaller than 1, and larger than 100.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">Why do you divide a fraction to turn it into a decimal? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Fractions represent a \u201cpart\u201d out of a \u201cwhole.\u201d The fraction bar separating the part and the whole represents division. This means that all fractions can be converted into decimals by dividing the numerator by the denominator.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"factsheet-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Fractions_into_Decimals_and_Percentages_Conversion_Chart_PDF\" class=\"m-toc-anchor\"><\/span>Fractions into Decimals and Percentages Conversion Chart PDF<\/h2>\n<div>\n\t\t\t\t\t<img width=\"1446\" height=\"1775\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-10_165250.png\" class=\"attachment-full size-full\" alt=\"A reference chart displaying fractions, equivalent fractions, their decimal forms, and percentage forms. Includes a color-coded pie chart for visual representation of each fraction.\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-10_165250.png 1446w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-10_165250-244x300.png 244w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-10_165250-834x1024.png 834w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-10_165250-768x943.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-10_165250-1251x1536.png 1251w\" sizes=\"auto, (max-width: 1446px) 100vw, 1446px\" \/><\/p>\n<div class=\"sub_categories\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/Fractions-Decimals-and-Percentages.pdf\"><span id=\"Your_Fractions_into_Decimals_and_Percentages_PDF_Download\" class=\"m-toc-anchor\"><\/span>Your Fractions into Decimals and Percentages PDF Download<\/a>\n\t\t\t\t\t<\/div>\n<\/p>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Converting_Fractions_into_Decimals_and_Percentages_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Converting Fractions into Decimals and Percentages Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhat is <span style=\"font-size: 120%;\">\\(\\frac{42}{100}\\)<\/span> as a percent?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-1-1\">42%<\/div><div class=\"PQ\"  id=\"PQ-1-2\">4.2%<\/div><div class=\"PQ\"  id=\"PQ-1-3\">0.42%<\/div><div class=\"PQ\"  id=\"PQ-1-4\">420%<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The word <em>percent<\/em> means \u201cper 100,\u201d so to turn a fraction into a percent, convert the denominator to 100, and the numerator is your percentage.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhat is <span style=\"font-size: 120%;\">\\(\\frac{16}{100}\\)<\/span> as a decimal?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">16.00<\/div><div class=\"PQ\"  id=\"PQ-2-2\">0.016<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-3\">0.16<\/div><div class=\"PQ\"  id=\"PQ-2-4\">1.6<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Since 16 is over 100, write the decimal so that 6 is in the hundredths place, which means 1 will be in the tenths place.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following is NOT a proper way to rewrite <span style=\"font-size: 120%;\">\\(\\frac{96}{1,000}\\)<\/span>?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">0.096<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-2\">96%<\/div><div class=\"PQ\"  id=\"PQ-3-3\">9.6%<\/div><div class=\"PQ\"  id=\"PQ-3-4\">0.09600<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The fraction <span style=\"font-size: 120%;\">\\(\\frac{96}{1,000}\\)<\/span> as a decimal is 0.096, and adding zeroes to the end of a decimal number doesn\u2019t change its value, so 0.09600 is equivalent to 0.096.<\/p>\n<p>The fraction <span style=\"font-size: 120%;\">\\(\\frac{96}{1,000}\\)<\/span> as a percentage is 9.6%. The percentage 96% as a fraction is <span style=\"font-size: 120%;\">\\(\\frac{96}{100}\\)<\/span>.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhat is <span style=\"font-size: 120%;\">\\(\\frac{7}{20}\\)<\/span> as a percent?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">7%<\/div><div class=\"PQ\"  id=\"PQ-4-2\">20%<\/div><div class=\"PQ\"  id=\"PQ-4-3\">28%<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-4\">35%<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Turn the fraction into a percent, convert the denominator to 100, and the numerator is your percentage.<\/p>\n<p>To convert <span style=\"font-size: 120%;\">\\(\\frac{7}{20}\\)<\/span> to have a denominator of 100, multiply both the numerator and the denominator by 5, which gives you <span style=\"font-size: 120%;\">\\(\\frac{35}{100}\\)<\/span>.<\/p>\n<p>The numerator is 35, so <span style=\"font-size: 120%;\">\\(\\frac{7}{20}\\)<\/span>\\(=35%\\).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhat is <span style=\"font-size: 120%;\">\\(\\frac{23}{125}\\)<\/span> as a decimal?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">0.23<\/div><div class=\"PQ\"  id=\"PQ-5-2\">1.25<\/div><div class=\"PQ\"  id=\"PQ-5-3\">1.86<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-4\">0.184<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>To convert a fraction to a decimal, first convert the fraction so it has a denominator of a multiple of 10. This can be done by multiplying <span style=\"font-size: 120%;\">\\(\\frac{23}{125}\\)<\/span> by <span style=\"font-size: 120%;\">\\(\\frac{8}{8}\\)<\/span>. <\/p>\n<p style=\"text-align: center\">\\(\\dfrac{23}{125} \\times \\dfrac{8}{8} =\\dfrac{184}{1,000}\\)<\/p>\n<p>Since 184 is over 1,000, place the 4 in the thousandths place of the decimal, which puts 8 in the hundredths place, and 1 in the tenths place to get 0.184.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #6:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWrite the fraction <span style=\"font-size: 120%;\">\\(\\frac{4}{5}\\)<\/span> as a decimal.<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-6-1\">0.8<\/div><div class=\"PQ\"  id=\"PQ-6-2\">0.6<\/div><div class=\"PQ\"  id=\"PQ-6-3\">0.5<\/div><div class=\"PQ\"  id=\"PQ-6-4\">0.4<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-6\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-6\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-6-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>To convert a fraction to decimal, divide the numerator by the denominator. In this case, divide 4 by 5. Long division can be used for this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Converting-Fractions-Example-2.svg\" alt=\"A black numbers and a white background.\" width=\"64\" height=\"144\" class=\"aligncenter size-full wp-image-286822\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-6-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-6-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #7:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWrite the fraction <span style=\"font-size: 120%;\">\\(\\frac{5}{8}\\)<\/span> as a decimal.<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-7-1\">5.8<\/div><div class=\"PQ\"  id=\"PQ-7-2\">0.58<\/div><div class=\"PQ correct_answer\"  id=\"PQ-7-3\">0.625<\/div><div class=\"PQ\"  id=\"PQ-7-4\">0.562<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-7\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-7\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-7-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>To convert a fraction to decimal, divide the numerator by the denominator. In this case, divide 5 by 8. Long division can be used for this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Converting-Fractions-Example-1.1.svg\" alt=\"Long division of 5.000 by 8, showing the quotient 0.625 and all subtraction steps with remainders written vertically.\" width=\"105\" height=\"267\" class=\"aligncenter size-full wp-image-286825\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-7-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-7-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #8:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWrite the fraction <span style=\"font-size: 120%;\">\\(\\frac{1}{5}\\)<\/span> as a decimal.<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-8-1\">0.5<\/div><div class=\"PQ correct_answer\"  id=\"PQ-8-2\">0.2<\/div><div class=\"PQ\"  id=\"PQ-8-3\">0.1<\/div><div class=\"PQ\"  id=\"PQ-8-4\">2.0<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-8\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-8\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-8-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>To convert a fraction to decimal, divide the numerator by the denominator. In this case, divide 1 by 5. Long division can be used for this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Converting-Fractions-Example-3.svg\" alt=\"Long division of 1.0 divided by 5, showing the steps, resulting in a quotient of 0.2.\" width=\"64\" height=\"144\" class=\"aligncenter size-full wp-image-286816\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-8-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-8-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #9:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWrite the fraction <span style=\"font-size: 120%;\">\\(\\frac{5}{6}\\)<\/span> as a decimal.<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-9-1\">0.322&#8230;<\/div><div class=\"PQ correct_answer\"  id=\"PQ-9-2\">0.833&#8230;<\/div><div class=\"PQ\"  id=\"PQ-9-3\">0.8311&#8230;<\/div><div class=\"PQ\"  id=\"PQ-9-4\">0.233&#8230;<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-9\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-9\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-9-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>To convert a fraction to decimal, divide the numerator by the denominator. In this case, divide 5 by 6. Long division can be used for this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Converting-Fractions-Example-4.svg\" alt=\"Long division calculation showing 5.000 divided by 6 with a repeating remainder pattern, resulting in 0.833 with a repeating decimal.\" width=\"105\" height=\"267\" class=\"aligncenter size-full wp-image-286831\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-9-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-9-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #10:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWrite the fraction <span style=\"font-size: 120%;\">\\(\\frac{3}{11}\\)<\/span> as a decimal.<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-10-1\">0.3111&#8230;<\/div><div class=\"PQ\"  id=\"PQ-10-2\">0.3131&#8230;<\/div><div class=\"PQ\"  id=\"PQ-10-3\">0.3535&#8230;<\/div><div class=\"PQ correct_answer\"  id=\"PQ-10-4\">0.2727&#8230;<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-10\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-10\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-10-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>To convert a fraction to decimal, divide the numerator by the denominator. In this case, divide 3 by 11. Long division can be used for this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/02\/Converting-Fractions-Example-5.svg\" alt=\"Long division of 3.0000 by 11, showing the steps and resulting in a repeating decimal answer of 0.2727.\" width=\"129\" height=\"320\" class=\"aligncenter size-full wp-image-286828\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-10-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-10-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/conversions\/\">Return to Conversions Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Conversions Videos<\/p>\n","protected":false},"author":1,"featured_media":99778,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-1170","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-fractions-decimals-percentages-videos","7":"page_category-math-advertising-group","8":"page_category-pre-algebra-rational-numbers-videos","9":"page_type-video","10":"content_type-fact-sheet","11":"content_type-practice-questions","12":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1170","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=1170"}],"version-history":[{"count":7,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1170\/revisions"}],"predecessor-version":[{"id":199163,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1170\/revisions\/199163"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/99778"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=1170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}