{"id":1166,"date":"2013-06-06T07:21:57","date_gmt":"2013-06-06T07:21:57","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=1166"},"modified":"2026-03-25T12:38:32","modified_gmt":"2026-03-25T17:38:32","slug":"converting-decimals-to-fractions-and-percentages","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/converting-decimals-to-fractions-and-percentages\/","title":{"rendered":"Converting Decimals to Fractions and Percentages"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_YLOVWwaydok\" 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_YLOVWwaydok\" data-source-videoID=\"YLOVWwaydok\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Converting Decimals to Fractions and Percentages Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Converting Decimals to Fractions and Percentages\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_YLOVWwaydok:hover {cursor:pointer;} img#videoThumbnailImage_YLOVWwaydok {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/1867-thumb-final-2-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_YLOVWwaydok\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_YLOVWwaydok\" 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 Decimals to Fractions and Percentages\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_YLOVWwaydok\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_YLOVWwaydok\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_YLOVWwaydok\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction 4Oy_Function() {\n  var x = document.getElementById(\"4Oy\");\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=\"4Oy_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=\"4Oy\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#A_Review_of_Decimals\" class=\"smooth-scroll\">A Review of Decimals<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Converting_Decimals_to_Fractions\" class=\"smooth-scroll\">Converting Decimals to Fractions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Converting_Decimals_to_Percentages\" class=\"smooth-scroll\">Converting Decimals to Percentages<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Decimals,_Fractions,_and_Percents_in_Daily_Life\" class=\"smooth-scroll\">Decimals, Fractions, and Percents in Daily Life<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Fact_Sheet\" class=\"smooth-scroll\">Fact Sheet<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Converting_Decimals_to_Fractions_and_Percentages_Practice_Questions\" class=\"smooth-scroll\">Converting Decimals to Fractions 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=\"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\/converting-percentages-calculators\/\" 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 decimals to fractions and percentages!<\/p>\n<p>Today we\u2019ll explore the connection between decimals, fractions, and percents. We\u2019ll also talk about how to use these numbers in the real world.<\/p>\n<h2><span id=\"A_Review_of_Decimals\" class=\"m-toc-anchor\"><\/span>A Review of Decimals<\/h2>\n<p>\nBefore we get started, let\u2019s review a few things. First, a <strong>decimal<\/strong> is a number that has a whole number part and a fractional part. Separating these parts is a dot called a <strong>decimal point<\/strong>. The digits that come after the decimal point show a value that is less than 1.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-89458\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-1.png\" alt=\"A decimal point goes between the whole number part and the fractional part of a decimal\" width=\"660.45\" height=\"371.45\" style=\"box-shadow: 1.5px 1.5px 3px grey\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-1.png 1915w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-1-300x169.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-1-1024x576.png 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-1-768x432.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-1-1536x865.png 1536w\" sizes=\"(max-width: 1915px) 100vw, 1915px\" \/><\/p>\n<p>For instance, in the number 25.16, 25 is the whole number part, and the fractional part is .16, which comes after the decimal point. In the number 0.75, the whole number part is 0, and the fractional part is .75. 0.75 is a decimal that is less than 1.<\/p>\n<h3><span id=\"Place_Value\" class=\"m-toc-anchor\"><\/span>Place Value<\/h3>\n<p>\nDecimals are based on powers of 10. As we move from left to right, each <strong>place value<\/strong> is divided by 10:<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-89461\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-2.png\" alt=\"Decimals are based on powers of ten\" width=\"660.45\" height=\"371.45\" style=\"box-shadow: 1.5px 1.5px 3px grey\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-2.png 1915w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-2-300x168.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-2-1024x573.png 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-2-768x430.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-2-1536x860.png 1536w\" sizes=\"(max-width: 1915px) 100vw, 1915px\" \/><\/p>\n<p>The decimal 5.25 is read as \u201cfive and twenty-five hundredths\u201d. Since 25 comes after the decimal point, this is the fractional part of the number. We say \u201ctwenty-five hundredths\u201d because the last digit, 5, is in the hundredths place. <\/p>\n<p>The decimal 0.875 is read as \u201ceight hundred seventy-five thousandths\u201d because the last digit, 5, is in the thousandths place. <\/p>\n<h2><span id=\"Converting_Decimals_to_Fractions\" class=\"m-toc-anchor\"><\/span>Converting Decimals to Fractions<\/h2>\n<p>\nSince decimals contain fractional parts, they can also be written as fractions. Changing a decimal into a fraction is just a different way of expressing the same number. To convert a decimal into a fraction, write the numbers after the decimal point as the numerator and the place value as the denominator. <\/p>\n<h3><span id=\"Example_1\" class=\"m-toc-anchor\"><\/span>Example #1<\/h3>\n<p>\nFor example, in the number 0.7, there is a 7 in the tenths place. First, write the number after the decimal point as the numerator of the fraction: <span style=\"font-style:normal; font-size:90%\">\\(\\frac{7}{}\\)<\/span>. Next, look at the place value of the last digit in the decimal. Since 7 is the only decimal digit and it is in the tenths place, write 10 as the denominator of the fraction: <span style=\"font-style:normal; font-size:90%\">\\(\\frac{7}{10}\\)<\/span>.<\/p>\n<h3><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example #2<\/h3>\n<p>\nIn the number 0.6, the six is in the tenths place. The numerator is six, and the denominator is ten, so the fraction is <span style=\"font-style:normal; font-size:90%\">\\(\\frac{6}{10}\\)<\/span>. We can <strong>simplify<\/strong> <span style=\"font-style:normal; font-size:90%\">\\(\\frac{6}{10}\\)<\/span> by dividing the numerator and denominator by 2 to get <span style=\"font-style:normal; font-size:90%\">\\(\\frac{3}{5}\\)<\/span>. The original fraction, <span style=\"font-style:normal; font-size:90%\">\\(\\frac{6}{10}\\)<\/span>, is referred to as the <strong>decimal fraction<\/strong>, and the simplified fraction, <span style=\"font-style:normal; font-size:90%\">\\(\\frac{3}{5}\\)<\/span>, is called the <strong>common fraction<\/strong>. <\/p>\n<h3><span id=\"Example_3\" class=\"m-toc-anchor\"><\/span>Example #3<\/h3>\n<p>\nLet\u2019s consider another example. Let\u2019s convert 0.25 into a fraction. First, write the numbers after the decimal point, 25, as the numerator in the fraction: <span style=\"font-style:normal; font-size:90%\">\\(\\frac{25}{}\\)<\/span><\/p>\n<p>Next, look at the place value of the digit 5. Since 5 is in the hundredths place, write 100 as the denominator of the fraction: <span style=\"font-style:normal; font-size:90%\">\\(\\frac{25}{100}\\)<\/span>.<\/p>\n<p>The final step is to simplify the fraction if needed. Since 25 and 100 share a common factor of 25, we can simplify the fraction by dividing the numerator and denominator by 25: <span style=\"font-style:normal; font-size:90%\">\\(\\frac{25\\div 25}{100\\div 25}=\\frac{1}{4}\\)<\/span>. <\/p>\n<h3><span id=\"Example_4\" class=\"m-toc-anchor\"><\/span>Example #4<\/h3>\n<p>\nNow it\u2019s your turn! Convert 0.625 into a fraction. <\/p>\n<p>Pause this video, convert the decimal into a fraction, and don\u2019t forget to simplify if needed. When you\u2019re ready, resume the video, and we\u2019ll go over everything together. <\/p>\n<p>Now that you\u2019ve tried this one yourself, let\u2019s go over it together.<\/p>\n<p>First, write the numbers after the decimal point, 625, as the numerator: <span style=\"font-style:normal; font-size:90%\">\\(\\frac{625}{}\\)<\/span><\/p>\n<p>Next, look at the place value of the last digit, 5. Since 5 is in the thousandths place, write 1,000 as the denominator of the fraction: <span style=\"font-style:normal; font-size:90%\">\\(\\frac{625}{1,000}\\)<\/span><\/p>\n<p>The final step is to simplify. Since 625 and 1,000 share a common factor of 25, we can simplify the fraction by dividing both numerator and denominator by 25: <span style=\"font-style:normal; font-size:90%\">\\(\\frac{625\\div 25}{1,000\\div 25}=\\frac{25}{40}\\)<\/span>. Since 25 and 40 share a common factor of 5, divide again by 5: <span style=\"font-style:normal; font-size:90%\">\\( \\frac{25\\div 5}{40\\div 5}=\\frac{5}{8}\\)<\/span>. Great job! <\/p>\n<h2><span id=\"Converting_Decimals_to_Percentages\" class=\"m-toc-anchor\"><\/span>Converting Decimals to Percentages<\/h2>\n<p>\nA percentage is a ratio that is expressed as a part out of 100. When written as a fraction, its denominator is always 100. Numbers with decimals can be expressed as percents. To convert a decimal to a percentage, multiply the decimal by 100 and write the percent sign (%) after the number. <\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-89464\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-3.png\" alt=\"A percentage is a ratio that is expressed as a part out of ten\" width=\"660.45\" height=\"371.45\" style=\"box-shadow: 1.5px 1.5px 3px grey\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-3.png 1917w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-3-300x169.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-3-1024x575.png 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-3-768x431.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/08\/Converting-Decimals-to-Fractions-and-Percentages-3-1536x863.png 1536w\" sizes=\"(max-width: 1917px) 100vw, 1917px\" \/><\/p>\n<h3><span id=\"Example_1\" class=\"m-toc-anchor\"><\/span>Example #1<\/h3>\n<p>\nLet\u2019s look at an example together. Convert the decimal 0.25 into a percent. First, multiply 0.25 times 100. To multiply a decimal by 100, move the decimal point 2 spaces to the right. That gives us a product of 25. Therefore, 0.25 equals 25%. <\/p>\n<h3><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example #2<\/h3>\n<p>\nLet\u2019s try another one. Convert 0.5 into a percent. Remember, the first step is to multiply 0.5 by 100. When we do so, we move the decimal two spaces to the right. Notice that there are no digits in the hundredths or thousandths place in 0.5.<\/p>\n<p>In this case, we can rewrite 0.5 as 0.500, using the zeroes as placeholders. When we move the decimal 2 spaces to the right, we get a product of 50.0, or 50. So 0.5 equals 50%. <\/p>\n<h3><span id=\"Example_3\" class=\"m-toc-anchor\"><\/span>Example #3<\/h3>\n<p>\nLet\u2019s look at one more example together. Convert 0.125 into a percent. Recall that the first step is to multiply the decimal by 100, which moves the decimal point 2 spaces to the right. This gives us a product of 12.5, so the percent is 12.5%. <\/p>\n<h3><span id=\"Example_4\" class=\"m-toc-anchor\"><\/span>Example #4<\/h3>\n<p>\nNow it\u2019s your turn. Convert 1.08 into a percent. Pause this video, convert the decimal, and don\u2019t forget to write the percent sign next to it. When you\u2019re ready, resume the video and we\u2019ll go over the answer together. <\/p>\n<p>Now that you\u2019ve tried this one, let\u2019s take a look at it. To convert 1.08 into a percent, multiply the decimal by 100. Since multiplying by 100 moves the decimal point 2 spaces to the right, 1.08 times 100 equals 108. Therefore, the equivalent percentage is 108%. Nice work! <\/p>\n<h2><span id=\"Decimals,_Fractions,_and_Percents_in_Daily_Life\" class=\"m-toc-anchor\"><\/span>Decimals, Fractions, and Percents in Daily Life<\/h2>\n<p>\nKnowing how to convert fractions to decimals and percents is an important skill in the real world. Here are a few ways you may see fractions, decimals, and percents in your daily life: <\/p>\n<div class=\"transcriptcallout\" style=\"text-align: left\">\n<ul style=\"margin-left: 1.25em; margin-bottom: 0em;\">\n<li style=\"margin-bottom: 10px;\"><strong>Shopping:<\/strong> When shopping, sales tax and coupons often use fractions, and other sale signs are often written in percents. Knowing how to calculate these will help determine the total cost of the items being purchased.<\/li>\n<li style=\"margin-bottom: 10px;\"><strong>Sports:<\/strong> In many sports like baseball and basketball, fractions are used to determine statistics such as shooting percentages.<\/li>\n<li style=\"margin-bottom: 10px;\"><strong>Restaurants:<\/strong> When going out to eat with a group of friends, you sometimes need to split the cost of the bill. To divide the total cost, you need to use fractions.<\/li>\n<li><strong>Tests and Exams:<\/strong> Scores of tests and exams are often expressed as fractions or percents.<\/li>\n<\/ul>\n<\/div>\n<p>\n&nbsp;<br \/>\nLet\u2019s look at some scenarios where we need to convert decimals to fractions or percentages. Consider the following word problems: <\/p>\n<div class=\"transcriptcallout\" style=\"text-align: left; padding-bottom: 0.25em;\">\n<ol style=\"margin-left: 1em;\">\n<li style=\"margin-bottom: 10px;\">One Canadian dollar is equivalent to 0.96 of a US dollar. What fraction of a US dollar is the Canadian dollar?<\/li>\n<li>In 1947, Jackie Robinson\u2019s batting average was .297. How can this be expressed as a percent?<\/li>\n<\/ol>\n<\/div>\n<p>\n&nbsp;<br \/>\nPause this video here and see if you can answer these questions yourself. When you\u2019re ready, resume the video and we\u2019ll go over the answers together. <\/p>\n<p>Now that you\u2019ve tried these problems, let\u2019s go over them together. <\/p>\n<div class=\"transcriptcallout\" style=\"text-align: left; padding-bottom: 0.25em;\">\n<ol style=\"margin-left: 1em;\">\n<li>One Canadian dollar is equivalent to 0.96 of a US dollar. What fraction of a US dollar is the Canadian dollar?<\/li>\n<\/ol>\n<\/div>\n<p>\n&nbsp;<br \/>\nTo convert the decimal 0.96 into a fraction, start by writing the numbers after the decimal point, 96, as the numerator: <span style=\"font-style:normal; font-size:90%\">\\(\\frac{96}{}\\)<\/span><\/p>\n<p>Next, look at the place value of the last digit, which is 6. Since 6 is in the hundredths place, the denominator is 100. Therefore, the decimal fraction is <span style=\"font-style:normal; font-size:90%\">\\(\\frac{96}{100}\\)<\/span>. 96 and 100 share a common factor of 4, so we can simplify the fraction by dividing both numerator and denominator by 4: <span style=\"font-style:normal; font-size:90%\">\\(\\frac{96\\div 4}{100\\div 4}=\\frac{24}{25}\\)<\/span>. Therefore, 1 Canadian dollar is equal to <span style=\"font-style:normal; font-size:90%\">\\(\\frac{24}{25}\\)<\/span> of a US dollar. <\/p>\n<div class=\"transcriptcallout\" style=\"text-align: left; padding-bottom: 0.25em;\">\n<ol start=\"2\"  style=\"margin-left: 1em;\">\n<li>In 1947, Jackie Robinson\u2019s batting average was .297. How can this be expressed as a percent?<\/li>\n<\/ol>\n<\/div>\n<p>\n&nbsp;<br \/>\nFirst, multiply 0.297 by 100. Since multiplying by 100 moves the decimal point 2 spaces to the right, 0.297 times 100 equals 29.7. Jackie Robinson\u2019s batting average can be expressed as 29.7%. As a batter, Jackie Robinson was successful almost 30% of the time. <\/p>\n<p>Knowing how to convert decimals to fractions and percentages helps us understand mathematical aspects of everyday life. I hope this video on converting decimals to fractions and percentages was helpful. Thanks for watching, and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"factsheet-spoiler\">\n<h2 style=\"text-align:center\">Fact Sheet<\/h2>\n<div>\n\t\t\t\t\t<img width=\"1361\" height=\"1773\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_140244.png\" class=\"attachment-full size-full\" alt=\"A chart showing fractions, their equivalent fractions, decimals, and percentages. It includes a visual representation and provides a step-by-step example of converting a fraction to a decimal and percentage.\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_140244.png 1361w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_140244-230x300.png 230w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_140244-786x1024.png 786w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_140244-768x1000.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/image_2022-02-11_140244-1179x1536.png 1179w\" sizes=\"auto, (max-width: 1361px) 100vw, 1361px\" \/><\/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\/Decimals-Percentages-and-Fractions.pdf\">Download Fact Sheet<\/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_Decimals_to_Fractions_and_Percentages_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Converting Decimals to Fractions 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>What is 0.76 as a percentage?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">0.76%<\/div><div class=\"PQ\"  id=\"PQ-1-2\">7.6%<\/div><div class=\"PQ\"  id=\"PQ-1-3\">76%<\/div><div class=\"PQ\"  id=\"PQ-1-4\">760%<\/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 76%. To convert a decimal to a percent, move the decimal point two places to the right and put a percent sign at the end of the number.<\/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>What is 0.39 as a fraction?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">\\(\\frac{39}{100}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-2\">\\(\\frac{3.9}{100}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-3\">\\(\\frac{39}{1,000}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-4\">\\(\\frac{39}{10}\\)<\/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{39}{100}\\). The 9 in 0.39 is in the hundredths place, so place the number after the decimal point as the numerator of a fraction over 100.<\/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>Which of the following is not a correct way to write 0.25?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">25%<\/div><div class=\"PQ\"  id=\"PQ-3-2\">4%<\/div><div class=\"PQ\"  id=\"PQ-3-3\">\\(\\frac{25}{100}\\)<\/div><div class=\"PQ\"  id=\"PQ-3-4\">\\(\\frac{1}{4}\\)<\/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 4%. Converting 0.25 to a percent results in 25%. Converting 0.25 to a fraction results in \\(\\frac{25}{100}\\), which can be simplified to \\(\\frac{1}{4}\\) by dividing both the numerator and denominator by 25. 4% is equal to the decimal value 0.04.<\/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>What is 7.1623 as a percentage?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">0.071623%<\/div><div class=\"PQ\"  id=\"PQ-4-2\">7.1623%<\/div><div class=\"PQ\"  id=\"PQ-4-3\">71.623%<\/div><div class=\"PQ\"  id=\"PQ-4-4\">716.23%<\/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 716.23%. To change a decimal value to a percent, move the decimal point two places to the right and add a percent sign to the end of the number.<\/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>What is 0.143 as a fraction?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">\\(\\frac{1.43}{100}\\)<\/div><div class=\"PQ\"  id=\"PQ-5-2\">\\(\\frac{143}{100}\\)<\/div><div class=\"PQ\"  id=\"PQ-5-3\">\\(\\frac{143}{1,000}\\)<\/div><div class=\"PQ\"  id=\"PQ-5-4\">\\(\\frac{14.3}{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{143}{1,000}\\). Since the 3 in 0.143 is in the thousandths place, the denominator will be 1,000. The numerator is the number after the decimal point.<\/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\/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":99772,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-1166","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\/1166","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=1166"}],"version-history":[{"count":5,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1166\/revisions"}],"predecessor-version":[{"id":281474,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1166\/revisions\/281474"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/99772"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=1166"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}