{"id":213592,"date":"2024-02-15T11:22:18","date_gmt":"2024-02-15T17:22:18","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=213592"},"modified":"2026-07-07T13:20:14","modified_gmt":"2026-07-07T18:20:14","slug":"fractions-calculator","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/fractions-calculator\/","title":{"rendered":"Fractions Calculator"},"content":{"rendered":"<p>Use this calculator to help you quickly add, subtract, multiply, or divide fractions.<\/p>\n<div id=\"fracFourFunc\" class=\"calculatorcontainer\">\n<div class=\"background\">\n<div class=\"modeToggle\"><label><input type=\"radio\" name=\"fracMode\" value=\"simple\" checked=\"checked\"> Fractions<\/label><label><input type=\"radio\" name=\"fracMode\" value=\"mixed\"> Mixed numbers<\/label><\/div>\n<div class=\"fractionParts\">\n<div class=\"fractionStack\">\n<div><input id=\"numeratorLeft\" class=\"fractionInput\" type=\"number\"><\/div>\n<div class=\"fractionBar\"><\/div>\n<div><input id=\"denominatorLeft\" class=\"fractionInput\" type=\"number\"><\/div>\n<\/div>\n<div><select id=\"operator\" name=\"operator\"><option value=\"plus\">+<\/option><option value=\"minus\">&#8211;<\/option><option value=\"multiply\">\u00d7<\/option><option value=\"divide\">\u00f7<\/option><\/select><\/div>\n<div class=\"fractionStack\">\n<div><input id=\"numeratorRight\" class=\"fractionInput\" type=\"number\"><\/div>\n<div class=\"fractionBar\"><\/div>\n<div><input id=\"denominatorRight\" class=\"fractionInput\" type=\"number\"><\/div>\n<\/div>\n<\/div>\n<div id=\"fractionResult\">\n<div id=\"resultWholeNumber\"><\/div>\n<div id=\"resultFractionParts\">\n<div id=\"resultNumerator\"><\/div>\n<div id=\"resultFractionBar\"><\/div>\n<div id=\"resultDenominator\"><\/div>\n<\/div>\n<\/div>\n<div><button class=\"calculate\">Calculate<\/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%20Calculator&#038;prefill_Question+Number=0&#038;prefill_Which+Form=Calculator-Feedback&#038;prefill_UP-ID=Calculator-Feedback%20-%20Fractions%20Calculator%20-%200&#038;hide_Test=true&#038;hide_Which+Form=true&#038;hide_UP-ID=true&#038;hide_Question+Number=true\" rel=\"noopener\">Let us know!<\/a><\/div>\n<p>Knowing how to add, subtract, multiply, and divide fractions is an important math concept to understand!<\/p>\n<p>Take a look at these examples to see how each operation is performed:<\/p>\n<h2><span id=\"Adding_Fractions\" class=\"m-toc-anchor\"><\/span>Adding Fractions<\/h2>\n<h3><span id=\"Denominator_is_the_Same_1\" class=\"m-toc-anchor\"><\/span>Denominator is the Same<\/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 Add <span style=\"font-size: 125%;\">\\(\\frac{3}{8} + \\frac{7}{8}\\)<\/span>.<\/div>\n<p>Notice that both fractions have the same denominator, which is 8. This tells us we&#8217;re working with &#8220;eighths.&#8221;<\/p>\n<p>Now, all we have to do is add the numerators together: \\(3+7=10\\).<\/p>\n<div style=\"text-align: center; font-size: 130%;\">\\(\\frac{3}{8} + \\frac{7}{8} = \\frac{10}{8}\\)<\/div>\n<p>&nbsp;<br \/>\nNotice that our answer is an <strong>improper fraction<\/strong>, which means the numerator is larger than the denominator. Let&#8217;s simplify this.<\/p>\n<p>To simplify, we can divide 10 by 8:<\/p>\n<div style=\"text-align: center;\">\\(10 \\div 8 = 1\\frac{2}{8}\\)<\/div>\n<p>&nbsp;<br \/>\nThe fraction \\(\\frac{2}{8}\\) can be simplified to \\(\\frac{1}{4}\\), so our final answer is 1\\(\\frac{1}{4}\\)!<\/p>\n<h3><span id=\"Denominator_is_Different\" class=\"m-toc-anchor\"><\/span>Denominator is Different<\/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 Add <span style=\"font-size: 125%;\">\\(\\frac{1}{4} + \\frac{1}{2}\\)<\/span>.<\/div>\n<p>Notice that the fractions have different denominators, 4 and 2. This means we need to find a common denominator before we can add them.<\/p>\n<p>The <strong>least common denominator<\/strong> (LCD) is the smallest number that both denominators divide into evenly. In this case, the LCD of 4 and 2 is 4.<\/p>\n<p>We need to rewrite the fraction \\(\\frac{1}{2}\\) so that it has a denominator of 4. To do this, we multiply both the numerator and denominator by 2:<\/p>\n<div style=\"text-align: center; font-size: 130%;\">\\(\\frac{1}{2} \\times \\frac{2}{2} = \\frac{2}{4}\\)<\/div>\n<p>&nbsp;<br \/>\nNow we can rewrite the original problem with the common denominator:<\/p>\n<div style=\"text-align: center; font-size: 130%;\">\\(\\frac{1}{4}+\\frac{2}{4} =\\) ?<\/div>\n<p>&nbsp;<br \/>\nNow that the denominators are the same, we can add the numerators: \\(1 + 2 = 3\\).<\/p>\n<div style=\"text-align: center; font-size: 130%;\">\\(\\frac{1}{4}+ \\frac{2}{4} = \\frac{3}{4}\\)<\/div>\n<hr \/>\n<h2><span id=\"Subtracting_Fractions\" class=\"m-toc-anchor\"><\/span>Subtracting Fractions<\/h2>\n<h3><span id=\"Denominator_is_the_Same_1\" class=\"m-toc-anchor\"><\/span>Denominator is the Same<\/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 Subtract <span style=\"font-size: 125%;\">\\(\\frac{7}{8} &#8211; \\frac{3}{8}\\)<\/span>.<\/div>\n<p>Notice that both fractions have the same denominator, which is 8. This tells us we&#8217;re working with &#8220;eighths.&#8221;<\/p>\n<p>Now, all we have to do is subtract the numerators: \\(7-3=4\\).<\/p>\n<div style=\"text-align: center; font-size: 130%;\">\\(\\frac{7}{8} &#8211; \\frac{3}{8} = \\frac{4}{8}\\)<\/div>\n<p>&nbsp;<br \/>\nBoth 4 and 8 are divisible by 4, so we can simplify our answer:<\/p>\n<div style=\"text-align: center; font-size: 130%;\">\\(\\frac{7}{8} &#8211; \\frac{3}{8} = \\frac{4}{8} = \\frac{1}{2}\\)<\/div>\n<h3><span id=\"Denominator_is_Different\" class=\"m-toc-anchor\"><\/span>Denominator is Different<\/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 Subtract <span style=\"font-size: 125%;\">\\(\\frac{1}{2} &#8211; \\frac{1}{4}\\)<\/span>.<\/div>\n<p>Notice that the fractions have different denominators, 2 and 4. This means we need to find a common denominator before we can subtract them.<\/p>\n<p>The least common denominator (LCD) is the smallest number that both denominators divide into evenly. In this case, the LCD of 2 and 4 is 4.<\/p>\n<p>We need to rewrite the fraction \\(\\frac{1}{2}\\) so that it has a denominator of 4. To do this, we multiply both the numerator and denominator by 2:<\/p>\n<div style=\"text-align: center; font-size: 130%;\">\\(\\frac{1}{2} \\times \\frac{2}{2} = \\frac{2}{4}\\)<\/div>\n<p>&nbsp;<br \/>\nNow we can rewrite the original problem with the common denominator:<\/p>\n<div style=\"text-align: center; font-size: 130%;\">\\(\\frac{2}{4}-\\frac{1}{4} =\\) ?<\/div>\n<p>&nbsp;<br \/>\nNow that the denominators are the same, we can subtract the numerators: \\(2-1=1\\).<\/p>\n<div style=\"text-align: center; font-size: 130%;\">\\(\\frac{2}{4}- \\frac{1}{4}=\\frac{1}{4}\\)<\/div>\n<hr \/>\n<h2><span id=\"Multiplying_Fractions\" class=\"m-toc-anchor\"><\/span>Multiplying Fractions<\/h2>\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 Multiply <span style=\"font-size: 125%;\">\\(\\frac{2}{3} \\times \\frac{4}{5}\\)<\/span>.<\/div>\n<p>To multiply fractions, you simply multiply the numerators together and the denominators together.<\/p>\n<ul style=\"list-style-type: none;\">\n<li style=\"margin-bottom: 12px;\">Multiply the numerators: \\(2 \\times 4=8\\)<\/li>\n<li>Multiply the denominators: \\(3 \\times 5=15\\)<\/li>\n<\/ul>\n<p>Put the new numerator on top of the new denominator, and you have the final answer!<\/p>\n<div style=\"text-align: center; font-size: 130%;\">\\(\\frac{2}{3} \\times \\frac{4}{5} = \\frac{8}{15}\\)<\/div>\n<hr \/>\n<h2><span id=\"Dividing_Fractions\" class=\"m-toc-anchor\"><\/span>Dividing Fractions<\/h2>\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 Divide <span style=\"font-size: 125%;\">\\(\\frac{2}{3}\\)<\/span> \\(\\div\\) <span style=\"font-size: 125%;\">\\(\\frac{1}{4}\\)<\/span>.<\/div>\n<p>To divide fractions, you &#8220;invert and multiply.&#8221; This means you flip the second fraction (the divisor) and then <a class=\"ylist\" href=\"#Multiplying_Fractions\">multiply the fractions<\/a>.<\/p>\n<ol>\n<li style=\"margin-bottom: 12px;\">Invert the second fraction: <span style=\"font-size: 125%;\">\\(\\frac{1}{4}\\)<\/span> becomes <span style=\"font-size: 125%;\">\\(\\frac{4}{1}\\)<\/span><\/li>\n<li>Multiply the fractions: <span style=\"font-size: 125%;\">\\(\\frac{2}{3} \\times \\frac{4}{1} = \\frac{8}{3}\\)<\/span><\/li>\n<\/ol>\n<p>Therefore, <span style=\"font-size: 125%;\">\\(\\frac{2}{3} \\div \\frac{1}{4} = \\frac{8}{3}\\)<\/span><\/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 adding, subtracting, multiplying, and dividing 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\/fractions\/\">Learn More About Fractions!<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Use this calculator to help you quickly add, subtract, multiply, or divide fractions. Fractions Mixed numbers +&#8211;\u00d7\u00f7 Calculate Found a bug? Let us know! Knowing how to add, subtract, multiply, and divide fractions is an important math concept to understand! Take a look at these examples to see how each operation is performed: Adding Fractions &#8230; <a title=\"Fractions Calculator\" class=\"read-more\" href=\"https:\/\/www.mometrix.com\/academy\/fractions-calculator\/\" aria-label=\"Read more about Fractions Calculator\">Read more<\/a><\/p>\n","protected":false},"author":68,"featured_media":250591,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-213592","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=\"Use our free fractions calculator to add, subtract, multiply, and divide fractions, mixed numbers, and improper fractions with step-by-step solutions.\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/www.mometrix.com\/academy\/fractions-calculator\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO Pro (AIOSEO) 4.9.10\" \/>\n\t\t<meta property=\"og:locale\" content=\"en_US\" \/>\n\t\t<meta property=\"og:site_name\" content=\"|\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Fractions Calculator | Add, Subtract, Multiply &amp; 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