{"id":250669,"date":"2025-03-20T15:05:10","date_gmt":"2025-03-20T20:05:10","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=250669"},"modified":"2026-05-06T10:49:13","modified_gmt":"2026-05-06T15:49:13","slug":"fractions-to-decimals-and-percentages-calculator","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/fractions-to-decimals-and-percentages-calculator\/","title":{"rendered":"Fractions to Decimals and Percentages Calculator"},"content":{"rendered":"<p>Use this calculator to help you quickly convert fractions to decimals and percentages.<\/p>\n<div id=\"fracToDecimal\" class=\"calculatorcontainer\">\n<div class=\"background\" style=\"width: 100%; margin-left: -1em;\">\n<label>Convert a Fraction to a Decimal or Percentage<\/label>\n<div class=\"fractionParts\">\n<div class=\"fractionStack\">\n<div><input id=\"numerator\" class=\"fractionInput\" type=\"number\" \/><\/div>\n<div class=\"fractionBar\"><\/div>\n<div><input id=\"denominator\" class=\"fractionInput\" type=\"number\" \/><\/div>\n<\/div>\n<div><select id=\"operator\" name=\"operator\"><option value=\"decimal\">To Decimal<\/option><option value=\"percentage\">To Percentage<\/option><\/select><\/div>\n<\/div>\n<div id=\"result\" style=\"text-align:center; \"><\/div>\n<div><button class=\"calculate\" data-uw-rm-kbnav=\"click\" onclick=\"calculateFracToDec()\">Convert<\/button><\/div>\n<\/div>\n<\/div>\n<div id=\"formula\" style=\"text-align: center; margin-bottom: 20px; font-size: 80%;\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shrb33jgGwb66DWHC?prefill_Test=Fractions%20To%20Decimals%20And%20Percentages%20Calculator&#038;prefill_Question+Number=0&#038;prefill_Which+Form=Calculator-Feedback&#038;prefill_UP-ID=Calculator-Feedback%20-%20Fractions%20To%20Decimals%20And%20Percentages%20Calculator%20-%200&#038;hide_Test=true&#038;hide_Which+Form=true&#038;hide_UP-ID=true&#038;hide_Question+Number=true\" target=\"_blank\" rel=\"noopener\">Let us know!<\/a><\/div>\n<p>Knowing how to convert fractions is an important math concept to understand!<\/p>\n<p>Take a look at these examples to see how each conversion works:<\/p>\n<h2><span id=\"Fraction_to_Decimal\" class=\"m-toc-anchor\"><\/span>Fraction to Decimal<\/h2>\n<h3><span id=\"Simple_1\" class=\"m-toc-anchor\"><\/span>Simple<\/h3>\n<div style=\"border-left: solid 4px #ffcc00; border-top: solid 1px #ffcc00; border-bottom: solid 1px #ffcc00; border-right: solid 1px #ffcc00; border-radius: 0 5px 5px 0; padding: 10px; font-weight: 600; box-shadow: 1px 1px 2px grey; width: max-content; margin-bottom: 1.5em;\">\ud83d\udca1 Convert <span style=\"font-size: 125%;\">\\(\\frac{3}{4}\\)<\/span> to a decimal.<\/div>\n<p>To convert a fraction to a decimal, you just need to divide the numerator by the denominator. In this case, we need to divide 3 by 4.<\/p>\n<div style=\"text-align: center;\">\\(3 \\div 4=0.75\\)<\/div>\n<p>Therefore, <span style=\"font-size: 125%;\">\\(\\frac{3}{4}\\)<\/span> is equal to 0.75 as a decimal. It&#8217;s as easy as that!<\/p>\n<h3><span id=\"Advanced_1\" class=\"m-toc-anchor\"><\/span>Advanced<\/h3>\n<div style=\"border-left: solid 4px #ffcc00; border-top: solid 1px #ffcc00; border-bottom: solid 1px #ffcc00; border-right: solid 1px #ffcc00; border-radius: 0 5px 5px 0; padding: 10px; font-weight: 600; box-shadow: 1px 1px 2px grey; width: max-content; margin-bottom: 1.5em;\">\ud83d\udca1 Convert <span style=\"font-size: 125%;\">\\(\\frac{3}{8}\\)<\/span> to a decimal.<\/div>\n<p>Just like the last example, you just need to divide the numerator by the denominator. In this case, we need to divide 3 by 8.<\/p>\n<p>Because 8 doesn&#8217;t go into 3, we need to add a decimal point and a zero to 3, making it 3.0. Then, we can perform long division:<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-250699\" role=\"img\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/03\/Long-division-fraction-conversion-to-decimal.svg\" alt=\"\" width=\"147.5\" height=\"365\" \/><\/p>\n<p>Therefore, <span style=\"font-size: 125%;\">\\(\\frac{3}{8}\\)<\/span> is equal to 0.375 as a decimal!<\/p>\n<hr \/>\n<h2><span id=\"Fraction_to_Percentage\" class=\"m-toc-anchor\"><\/span>Fraction to Percentage<\/h2>\n<h3><span id=\"Simple_1\" class=\"m-toc-anchor\"><\/span>Simple<\/h3>\n<div style=\"border-left: solid 4px #ffcc00; border-top: solid 1px #ffcc00; border-bottom: solid 1px #ffcc00; border-right: solid 1px #ffcc00; border-radius: 0 5px 5px 0; padding: 10px; font-weight: 600; box-shadow: 1px 1px 2px grey; width: max-content; margin-bottom: 1.5em;\">\ud83d\udca1 Convert <span style=\"font-size: 125%;\">\\(\\frac{3}{8}\\)<\/span> to a percentage.<\/div>\n<p>To convert a fraction to a percentage, we first need to <a class=\"ylist\" href=\"#Fraction_to_Decimal\">convert it to a decimal<\/a> (see above).<\/p>\n<div style=\"text-align: center;\">\\(3 \\div 8=0.375\\)<\/div>\n<p>Then, we need to multiply the decimal by 100, which moves the decimal point two places to the right:<\/p>\n<div style=\"text-align: center;\">\\(0.375 \\times 100 = 37.5\\)<\/div>\n<p>Therefore, <span style=\"font-size: 125%;\">\\(\\frac{3}{8}\\)<\/span> is equal to 37.5%!<\/p>\n<h3><span id=\"Advanced_1\" class=\"m-toc-anchor\"><\/span>Advanced<\/h3>\n<div style=\"border-left: solid 4px #ffcc00; border-top: solid 1px #ffcc00; border-bottom: solid 1px #ffcc00; border-right: solid 1px #ffcc00; border-radius: 0 5px 5px 0; padding: 10px; font-weight: 600; box-shadow: 1px 1px 2px grey; width: max-content; margin-bottom: 1.5em;\">\ud83d\udca1 Convert <span style=\"font-size: 125%;\">\\(\\frac{12}{16}\\)<\/span> to a percentage.<\/div>\n<p>To convert a fraction to a percentage, it&#8217;s often helpful to simplify the fraction first.<\/p>\n<p>To simplify, find the <strong>greatest common divisor<\/strong> (GCD) of 12 and 16, which is 4. Then, divide both the numerator and denominator by 4.<\/p>\n<div style=\"text-align: center;\">\\(12 \\div 4 = 3\\)<br \/>\n\\(16 \\div 4 = 4\\)<\/div>\n<p>This means that <span style=\"font-size: 125%;\">\\(\\frac{12}{16}\\)<\/span> simplifies to <span style=\"font-size: 125%;\">\\(\\frac{3}{4}\\)<\/span>.<\/p>\n<p>Now we can follow the usual steps of converting the fraction to a decimal and multiplying that by 100:<\/p>\n<div style=\"text-align: center;\">\\(3 \\div 4 = 0.75\\)<br \/>\n\\(0.75 \\times 100 = 75\\)<\/div>\n<p>Therefore, <span style=\"font-size: 125%;\">\\(\\frac{12}{16}\\)<\/span> is equal to 75%!<\/p>\n<hr \/>\n<h2><span id=\"More_Resources\" class=\"m-toc-anchor\"><\/span>More Resources<\/h2>\n<p>Click below to watch a comprehensive video about converting fractions, along with other helpful resources to help you fully grasp the topic!<\/p>\n<div class=\"home-buttons2\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/converting-fractions-to-percentages-and-decimals\/\">Learn More About Converting Fractions!<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Use this calculator to help you quickly convert fractions to decimals and percentages. Convert a Fraction to a Decimal or Percentage To DecimalTo Percentage Convert Found a bug? Let us know! Knowing how to convert fractions is an important math concept to understand! Take a look at these examples to see how each conversion works: &#8230; <a title=\"Fractions to Decimals and Percentages Calculator\" class=\"read-more\" href=\"https:\/\/www.mometrix.com\/academy\/fractions-to-decimals-and-percentages-calculator\/\" aria-label=\"Read more about Fractions to Decimals and Percentages Calculator\">Read more<\/a><\/p>\n","protected":false},"author":19,"featured_media":250594,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-250669","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_type-calculator"},"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO Pro 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"Easily convert fractions to decimals and percentages with this calculator, and sharpen your skills with comprehensive examples.\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link 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