{"id":1179,"date":"2013-06-06T07:28:54","date_gmt":"2013-06-06T07:28:54","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=1179"},"modified":"2026-03-25T10:47:01","modified_gmt":"2026-03-25T15:47:01","slug":"converting-percentages-to-decimals-and-fractions","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/converting-percentages-to-decimals-and-fractions\/","title":{"rendered":"Converting Percentages to Decimals and Fractions"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_5Miz7bp0_GU\" 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_5Miz7bp0_GU\" data-source-videoID=\"5Miz7bp0_GU\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Converting Percentages to Decimals and Fractions Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Converting Percentages to Decimals and Fractions\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_5Miz7bp0_GU:hover {cursor:pointer;} img#videoThumbnailImage_5Miz7bp0_GU {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/720-converting-percentages-to-decimals-and-fractions-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_5Miz7bp0_GU\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_5Miz7bp0_GU\" 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 Percentages to Decimals and Fractions\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_5Miz7bp0_GU\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_5Miz7bp0_GU\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_5Miz7bp0_GU\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction Bx4_Function() {\n  var x = document.getElementById(\"Bx4\");\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=\"Bx4_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=\"Bx4\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Percent_to_Decimal\" class=\"smooth-scroll\">Percent to Decimal<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Percentage_to_Fraction\" class=\"smooth-scroll\">Percentage to Fraction<\/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=\"#Converting_Percentages_to_Decimals_and_Fractions_PDF\" class=\"smooth-scroll\">Converting Percentages to Decimals and Fractions PDF<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Converting_Percentage_Practice_Questions\" class=\"smooth-scroll\">Converting Percentage 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>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hi, welcome to this video on converting percentages to decimals and fractions! In this video, we\u2019ll show you some easy and not-so-easy methods for converting percentages.<\/p>\n<p>We use <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/decimals\/\">decimals<\/a> in every part of our lives. You see decimals when dealing with money, measuring distance, measuring how much something weighs. There are decimals, literally, everywhere you look. But before we look at conversions, let\u2019s do a quick recap on percentages.<\/p>\n<p>A percent is any number that is a part of 100. The word percent literally means \u201cper one hundred.\u201d<\/p>\n<h2><span id=\"Percent_to_Decimal\" class=\"m-toc-anchor\"><\/span>Percent to Decimal<\/h2>\n<p>\nFor instance, 25% is 25 of 100, and 64% is 64 of 100.  But how do you convert the percentage into a decimal? Well, there are actually two ways you can do it.<\/p>\n<p>The first way is by using math.<\/p>\n<p>We\u2019ve already established that percent means \u201cper one hundred.\u201d Using 25, 25% is really just 25 per 100. If you divide 25 by 100, you get 0.25, which is a decimal. <\/p>\n<p>But there\u2019s a much easier way to convert to a decimal, and it\u2019s something I like to call the math two-step. Just move the decimal in your percentage 2 places to the left.<\/p>\n<p>Let\u2019s use 25% as our example. 25 has two digits, the 2 and the 5.<\/p>\n<p>Our decimal is after the 5. Moving the decimal two places to the left gives us 0.25. As always, remember to remove the percent sign when you\u2019re done.<\/p>\n<p>Simple, right? But what if your percent number is over 100%? Maybe you have 125%. Well, the same applies. Move the decimal point two places to the left. You would move past the 5 (the first point) and past the 2 (the second point) and end with 1.25.<\/p>\n<p>Now that we\u2019ve got that down, let\u2019s look at <strong>converting percentages into fractions<\/strong>.<\/p>\n<p>This conversion has a few more steps.<\/p>\n<h2><span id=\"Percentage_to_Fraction\" class=\"m-toc-anchor\"><\/span>Percentage to Fraction<\/h2>\n<p>When you convert a percentage to a fraction, you first convert your percentage to a decimal, then divide that number by 1. Let\u2019s stay with 25. 25% becomes 0.25. Now we divide that by 1.<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\\(\\frac{0.25}{1}\\)<\/div>\n<p>\n&nbsp;<br \/>\nNext, for every number after the decimal point, multiply by 10. Since there are two numbers after the decimal in our example, we multiply 10 twice. If there were four numbers after the decimal, we would multiply 10 four times. The multiplication factor is essential to remember. You\u2019re not \u201cadding\u201d 10 after each decimal point. You\u2019re multiplying. In this case, you\u2019ll multiply 10 times 10, which equals 100. So you\u2019ll multiply the top number and the bottom number by 100. <\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\\(\\frac{0.25}{1} \\times \\frac{100}{100}=\\frac{25}{100}\\)<\/div>\n<\/blockquote>\n<p>\n&nbsp;<br \/>\nNow, you have to simplify the fraction. You do that by finding the highest number that divides the top and bottom number equally. In this case, the answer is 25.<\/p>\n<p>25 is the highest number that equally divides both 25 and 100. Here\u2019s how the equation looks.<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\\(\\frac{25}{100}\\div \\frac{25}{25}=\\frac{1}{4}\\)<\/div>\n<\/blockquote>\n<p>\n&nbsp;<br \/>\nAnd there you have it! The answer is \\(\\frac{1}{4}\\).<\/p>\n<p>That\u2019s our look at converting percentages to decimals and fractions, with a little simplification thrown in. By following this lesson, you should have a firm base for these calculations, which prove useful in many areas of our lives.<\/p>\n<p>Thanks for watching and happy studying!<\/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 percent to a fraction and decimal?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Change a percent into a fraction by taking the percent and placing it over 100. Then, simplify the fraction if needed.<\/p>\n<p>Change a percent to a decimal by turning the percent sign into a decimal point and moving it two places to the left.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Change 16% into a fraction and a decimal.<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">\n<ul style=\"list-style-type: none; padding: 0; margin-left: 1em; margin-bottom: -1.5em\">\n<li style=\"margin-bottom: 1.5em\">Fraction: \\(16\\%=\\dfrac{16}{100}=\\dfrac{16\\div4}{100\\div4}\\) \\(=\\dfrac{4}{25}\\)<\/li>\n<li style=\"margin-bottom: 1.5em\">Decimal: \\(16\\% \\rightarrow 16.0 \\rightarrow 0.16\\)<\/li>\n<\/ul>\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 you convert percentages to decimals?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Convert a percentage to a decimal by turning the percent sign into a decimal point and moving it two places to the left.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Convert 49% to a decimal.<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">\n<p style=\"text-align:center; margin-bottom: 0em;\">\\(49\\% \\rightarrow 49.0 \\rightarrow 0.49\\)<\/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 convert decimals to percentages?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Convert a decimal to a percentage by moving the decimal point two places to the right and then placing a percent sign at the end.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Convert 0.713% to a percentage.<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">\n<p style=\"text-align:center; margin-bottom: 0em;\">\\(0.713 \\rightarrow 71.3 \\rightarrow 71.3\\%\\)<\/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 you turn a normal number into a percentage?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Turn a normal number into a percentage by adding a decimal point followed by two 0s. Remember, adding a decimal point and 0s to the end of a number does not change its value. Then, move the decimal point two places to the right, and add a percent sign. It\u2019s the same process as converting a decimal to a percentage.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Convert 14 to a percentage.<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">\n<p style=\"text-align:center; margin-bottom: 0em;\">\\(14 \\rightarrow 14.00 \\rightarrow 1400\\) \\(\\rightarrow 1,400\\%\\)<\/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 convert percentages to fractions?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Convert percentages to fractions by dropping the percent sign and placing the number over 100. Then, simplify if necessary.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Convert 45% to a fraction.<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">\n<p style=\"text-align:center; margin-bottom: 0em;\">\\(45\\%=\\dfrac{45}{100}=\\dfrac{45\u00f75}{100\u00f75}=\\dfrac{9}{20}\\)<\/p>\n<\/div>\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=\"Converting_Percentages_to_Decimals_and_Fractions_PDF\" class=\"m-toc-anchor\"><\/span>Converting Percentages to Decimals and Fractions PDF<\/h2>\n<div>\n\t\t\t\t\t<img width=\"1362\" height=\"1767\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_091836.png\" class=\"attachment-full size-full\" alt=\"Infographic explaining how to convert percentages to decimals and fractions. It includes step-by-step instructions and examples for each method.\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_091836.png 1362w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_091836-231x300.png 231w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_091836-789x1024.png 789w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_091836-768x996.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_091836-1184x1536.png 1184w\" sizes=\"auto, (max-width: 1362px) 100vw, 1362px\" \/><\/p>\n<div class=\"sub_categories\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/Converting-Percentages-to-Decimals-and-Fractions-Fact-Sheet.pdf\"><span id=\"Your_Converting_Percentages_to_Decimals_and_Fractions_PDF_Download\" class=\"m-toc-anchor\"><\/span>Your Converting Percentages to Decimals and Fractions PDF Download<\/a>\n\t\t\t\t\t<\/div>\n<\/p>\n<\/div>\n<div>\n\t\t\t\t\t<img width=\"1444\" height=\"1804\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_090351.png\" class=\"attachment-full size-full\" alt=\"A chart showing fractions with their equivalent decimals and percentages. The chart includes various fractions from one whole to one twelfth, with corresponding visuals and a brief guide on conversions.\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_090351.png 1444w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_090351-240x300.png 240w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_090351-820x1024.png 820w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_090351-768x959.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_090351-1229x1536.png 1229w\" sizes=\"auto, (max-width: 1444px) 100vw, 1444px\" \/><\/p>\n<div class=\"sub_categories\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/converting-percentages-to-decimals-and-fractions\/\"><span id=\"Your_Converting_Percentages_to_Decimals_and_Fractions_PDF_Download\" class=\"m-toc-anchor\"><\/span><span id=\"Your_Converting_Percentages_to_Decimals_and_Fractions_PDF_Download\" class=\"m-toc-anchor\"><\/span>Your Converting Percentages to Decimals and Fractions 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_Percentage_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Converting Percentage 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 47% as a decimal?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">47.0<\/div><div class=\"PQ\"  id=\"PQ-1-2\">4.7<\/div><div class=\"PQ\"  id=\"PQ-1-3\">0.047<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-4\">0.47<\/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 correct answer is 0.47. To convert a percent to a decimal, change the percent sign to a decimal point and move it two places to the left.<\/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 29% as a fraction?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-2-1\">\\(\\dfrac{29}{100}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-2\">\\(\\dfrac{29}{1,000}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-3\">\\(\\dfrac{29}{10}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-4\">\\(\\dfrac{29}{1}\\)<\/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>The correct answer is \\(\\frac{29}{100}\\). Percent means \u201cper 100,\u201d so 29% means \u201c29 per 100,\u201d which looks like \\(\\frac{29}{100}\\) as a fraction.<\/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 40%?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">0.40<\/div><div class=\"PQ\"  id=\"PQ-3-2\">\\(\\dfrac{40}{100}\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-3\">0.20<\/div><div class=\"PQ\"  id=\"PQ-3-4\">\\(\\dfrac{2}{5}\\)<\/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 correct answer is 0.20. 40% as a decimal is 0.40. As a fraction it is \\(\\frac{40}{100}\\), which can be simplified to \\(\\frac{2}{5}\\) by dividing both the numerator and denominator by 20. 0.20 as a percent is 20%.<\/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 486% as a decimal?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">0.486<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-2\">4.86<\/div><div class=\"PQ\"  id=\"PQ-4-3\">48.6<\/div><div class=\"PQ\"  id=\"PQ-4-4\">486.0<\/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>The correct answer is 4.86. To convert a percentage to a decimal, change the percent sign to a decimal point and move it two places to the left.<\/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 38% as a fraction?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">\\(\\dfrac{19}{100}\\)<\/div><div class=\"PQ\"  id=\"PQ-5-2\">\\(\\dfrac{38}{50}\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-3\">\\(\\dfrac{19}{50}\\)<\/div><div class=\"PQ\"  id=\"PQ-5-4\">\\(\\dfrac{38}{1,000}\\)<\/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>The correct answer is \\(\\frac{19}{50}\\). To convert a percentage to a fraction, place the number before the percent sign as the numerator of a fraction over 100: \\(\\frac{38}{100}\\). Then, simplify by dividing both the numerator and denominator by 2: \\(\\frac{19}{50}\\).<\/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><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/fractions-decimals-and-percentages\/\">Return to Fractions, Decimals, and Percentages Videos<\/a><\/p>\n<\/div>\n<p><script>\n  const btn = document.querySelector('.buttontranscript');\n  const answerDiv = document.getElementById('Answer');\n  btn.addEventListener('click', function() {\n    if (answerDiv.style.display === 'none') {\n      answerDiv.style.display = 'block';\n    } else {\n      answerDiv.style.display = 'none';\n    }\n  });\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Return to Fractions, Decimals, and Percentages Videos<\/p>\n","protected":false},"author":1,"featured_media":99775,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-1179","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-conversion-videos","7":"page_category-fractions-decimals-percentages-videos","8":"page_category-math-advertising-group","9":"page_category-pre-algebra-rational-numbers-videos","10":"page_type-video","11":"content_type-fact-sheet","12":"content_type-practice-questions","13":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1179","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=1179"}],"version-history":[{"count":6,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1179\/revisions"}],"predecessor-version":[{"id":286294,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1179\/revisions\/286294"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/99775"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=1179"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}