{"id":255778,"date":"2025-05-02T10:44:35","date_gmt":"2025-05-02T15:44:35","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=255778"},"modified":"2026-04-14T14:03:18","modified_gmt":"2026-04-14T19:03:18","slug":"mixed-fraction-calculator","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/mixed-number-calculator\/","title":{"rendered":"Mixed Number Calculator"},"content":{"rendered":"<p>Use this calculator to help you quickly add, subtract, multiply, or divide mixed numbers fractions.<\/p>\n<div class=\"calculatorcontainer\" id=\"mixedFracFourFunc\" style=\"width: 63%\">\n<div class=\"background\">\n<div class=\"fractionParts\">\n<div class=\"mixedStack\">\n<div><input onkeypress=\"if (event.key === 'Enter') calculateFraction()\" class=\"mixedInput\" id=\"mixedLeft\" type=\"number\" \/><\/div>\n<div class=\"fractionStack\">\n<div><input onkeypress=\"if (event.key === 'Enter') calculateFraction()\" class=\"fractionInput\" id=\"numeratorLeft\" type=\"number\" \/><\/div>\n<div class=\"fractionBar\"><\/div>\n<div><input onkeypress=\"if (event.key === 'Enter') calculateFraction()\" class=\"fractionInput\" id=\"denominatorLeft\" type=\"number\" \/><\/div>\n<\/div>\n<\/div>\n<div><select name=\"operator\" id=\"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=\"mixedStack\">\n<div><input onkeypress=\"if (event.key === 'Enter') calculateFraction()\" class=\"mixedInput\" id=\"mixedRight\" type=\"number\" \/><\/div>\n<div class=\"fractionStack\">\n<div><input onkeypress=\"if (event.key === 'Enter') calculateFraction()\" class=\"fractionInput\" id=\"numeratorRight\" type=\"number\" \/><\/div>\n<div class=\"fractionBar\"><\/div>\n<div><input onkeypress=\"if (event.key === 'Enter') calculateFraction()\" class=\"fractionInput\" id=\"denominatorRight\" type=\"number\" \/><\/div>\n<\/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\" onclick=\"calculateFraction()\" data-uw-rm-kbnav=\"click\">Calculate<\/button><\/div>\n<\/div>\n<div id=\"bugLink\" style=\"text-align: center; margin-bottom: 30px; font-size: 80%; margin-top: 0.5em\"> Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shrb33jgGwb66DWHC?prefill_Test=Mixed%20Number%20Calculator&#038;prefill_Question+Number=0&#038;prefill_Which+Form=Calculator-Feedback&#038;prefill_UP-ID=Calculator-Feedback%20-%20Mixed%20Number%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<\/div>\n<p>Knowing how to add, subtract, multiply, and divide mixed numbers 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_Mixed_Numbers\" class=\"m-toc-anchor\"><\/span>Adding Mixed Numbers<\/h2>\n<p>The key to adding mixed numbers is to add the whole numbers and the fractions separately.<\/p>\n<h3><span id=\"Example_1\" class=\"m-toc-anchor\"><\/span>Example 1<\/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 \\(2 \\frac{1}{8} + 3 \\frac{5}{8}\\).<\/div>\n<p>Let&#8217;s start by adding the whole numbers:<\/p>\n<div style=\"text-align: center\">\\(2+3=5\\)<\/div>\n<p>&nbsp;<br \/>\nTo add the fractions together, all we have to do is add the numerators since they are the same for both fractions:<\/p>\n<div style=\"text-align: center\">\\(\\dfrac{1}{8} + \\dfrac{5}{8} = \\dfrac{6}{8}\\)<\/div>\n<p>&nbsp;<br \/>\nWe can simplify \\(\\frac{6}{8}\\) to be \\(\\frac{3}{4}\\).<\/p>\n<p>Then, all we have to do is put together our final whole number and fraction, which gives us the answer \\(5 \\frac{3}{4}\\)!<\/p>\n<h3><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example 2<\/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 \\(4 \\frac{2}{3} + 1 \\frac{1}{2}\\).<\/div>\n<p>Same as the first example, let&#8217;s start by adding the whole numbers:<\/p>\n<div style=\"text-align: center\">\\(4+1=5\\)<\/div>\n<p>&nbsp;<br \/>\nSince the fractions have different denominators, we need to find a common denominator. The least common denominator (LCD) for 3 and 2 is 6.<\/p>\n<div style=\"text-align: center\">\\(\\dfrac{2}{3} \\times \\dfrac{2}{2} = \\dfrac{4}{6}\\)<\/div>\n<div style=\"text-align: center; margin-top: 1.5em\">\\(\\dfrac{1}{2} \\times \\dfrac{3}{3} = \\dfrac{3}{6}\\)<\/div>\n<p>&nbsp;<br \/>\nNow we can add the new fractions:<\/p>\n<div style=\"text-align: center\">\\(\\dfrac{4}{6} + \\dfrac{3}{6} = \\dfrac{7}{6}\\)<\/div>\n<p>&nbsp;<br \/>\nNotice that \\(\\frac{7}{6}\\) is an improper fraction, meaning the numerator is larger than the denominator. Let&#8217;s convert it to a mixed number:<\/p>\n<div style=\"text-align: center\">\\(7 \\div 6 = 1 \\frac{1}{6}\\)<\/div>\n<p>&nbsp;<br \/>\nThen, we just need to add this result to the whole number we calculated earlier:<\/p>\n<div style=\"text-align: center\">\\(5 + 1 \\frac{1}{6} = 6 \\frac{1}{6}\\)<\/div>\n<hr>\n<h2><span id=\"Subtracting_Mixed_Numbers\" class=\"m-toc-anchor\"><\/span>Subtracting Mixed Numbers<\/h2>\n<p>When subtracting mixed numbers, you may need to borrow from the whole number if the first fraction is smaller than the second.<\/p>\n<h3><span id=\"Example_1\" class=\"m-toc-anchor\"><\/span>Example 1<\/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 \\(5 \\frac{3}{4}\\: -\\: 2 \\frac{1}{8}\\).<\/div>\n<p>First, we need to find a common denominator for the fractions. The LCD of 4 and 8 is 8.<\/p>\n<div style=\"text-align: center\">\\(\\dfrac{3}{4} \\times \\dfrac{2}{2} = \\dfrac{6}{8}\\)<\/div>\n<p>&nbsp;<br \/>\nNow we can rewrite the problem as \\(5\\frac{6}{8}\\: -\\: 2 \\frac{1}{8}\\).<\/p>\n<p>To solve, let&#8217;s subtract the whole numbers first, then the fractions:<\/p>\n<div style=\"text-align: center\">\\(5-2=3\\)<\/div>\n<div style=\"text-align: center; margin-top: 1.5em\">\\(\\dfrac{6}{8}\\: -\\: \\dfrac{1}{8} = \\dfrac{5}{8}\\)<\/div>\n<p>&nbsp;<br \/>\nCombine the results to get the final answer: \\(3 \\frac{5}{8}\\)!<\/p>\n<h3><span id=\"Example_2_1\" class=\"m-toc-anchor\"><\/span>Example 2<\/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 \\(6 \\frac{1}{4}\\: -\\: 2 \\frac{3}{4}\\).<\/div>\n<p>Notice that \\(\\frac{1}{4}\\) is smaller than \\(\\frac{3}{4}\\). We can&#8217;t subtract a larger fraction from a smaller one, so we need to borrow from the 6.<\/p>\n<p>Let&#8217;s take 1 from the 6 (which turns the 6 into a 5) and turn that 1 into a fraction with a denominator of 4, which would be \\(\\frac{4}{4}\\).<\/p>\n<p>Now we can add \\(\\frac{4}{4}\\) to the fraction we already have:<\/p>\n<div style=\"text-align: center\">\\(\\dfrac{1}{4} + \\dfrac{4}{4} = \\dfrac{5}{4}\\)<\/div>\n<p>&nbsp;<br \/>\nWe&#8217;ve turned our first mixed number from \\(6\\frac{1}{4}\\) to \\(5\\frac{5}{4}\\), so our full problem now reads as follows:<\/p>\n<div style=\"text-align: center\">\\(5 \\frac{5}{4}\\: -\\: 2\\frac{3}{4}\\)<\/div>\n<p>&nbsp;<br \/>\nTo solve, let&#8217;s subtract the whole numbers first, then the fractions:<\/p>\n<div style=\"text-align: center\">\\(5-2=3\\)<\/div>\n<div style=\"text-align: center; margin-top: 1.5em\">\\(\\dfrac{5}{4}\\: -\\: \\dfrac{3}{4} = \\dfrac{2}{4}\\)<\/div>\n<p>&nbsp;<br \/>\nWe can simplify \\(\\frac{2}{4}\\) to \\(\\frac{1}{2}\\).<\/p>\n<p>Combine the results to get the final answer: \\(3 \\frac{1}{2}\\)!<\/p>\n<hr>\n<h2><span id=\"Multiplying_Mixed_Numbers\" class=\"m-toc-anchor\"><\/span>Multiplying Mixed Numbers<\/h2>\n<p>When multiplying mixed numbers, you need to convert them into improper fractions first.<\/p>\n<h3><span id=\"Example_1_2\" class=\"m-toc-anchor\"><\/span>Example 1<\/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 Multiply \\(1 \\frac{1}{2} \\times 2 \\frac{1}{3}\\).<\/div>\n<p>First, we need to convert both mixed numbers to improper fractions:<\/p>\n<div style=\"text-align: center\">\\(1\\frac{1}{2} = \\frac{(1 \\times 2)+1}{2} = \\frac{3}{2}\\)<\/div>\n<div style=\"text-align: center; margin-top: 1.5em\">\\(2\\frac{1}{3} = \\frac{(2 \\times 3)+1}{3} = \\frac{7}{3}\\)<\/div>\n<p>&nbsp;<br \/>\nNow we can multiply these two improper fractions:<\/p>\n<div style=\"text-align: center\">\\(\\dfrac{3}{2} \\times \\dfrac{7}{3} = \\dfrac{21}{6}\\)<\/div>\n<p>&nbsp;<br \/>\nBecause 21 and 6 are both divisible by 3, we can simplify \\(\\frac{21}{6}\\) to \\(\\frac{7}{2}\\).<\/p>\n<p>Finally, we can convert the improper fraction back into a mixed number:<\/p>\n<div style=\"text-align: center\">\\(7 \\div 2 = 3 \\frac{1}{2}\\)<\/div>\n<h3><span id=\"Example_2_2\" class=\"m-toc-anchor\"><\/span>Example 2<\/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 Multiply \\(3 \\frac{3}{5} \\times 4 \\frac{1}{6}\\).<\/div>\n<p>Again, we need to start by converting both mixed numbers to improper fractions:<\/p>\n<div style=\"text-align: center\">\\(3\\frac{3}{5} = \\frac{(3 \\times 5)+3}{5} = \\frac{18}{5}\\)<\/div>\n<div style=\"text-align: center; margin-top: 1.5em\">\\(4\\frac{1}{6} = \\frac{(4 \\times 6)+1}{6} = \\frac{25}{6}\\)<\/div>\n<p>&nbsp;<br \/>\nNow we can multiply these two improper fractions. Before we do, let&#8217;s simplify a bit:<\/p>\n<div style=\"text-align: center\">\\(\\dfrac{18}{5}\\times\\dfrac{25}{6} = \\dfrac{3}{1}\\times\\dfrac{5}{1}\\)<\/div>\n<p>&nbsp;<br \/>\nNow we can multiply the simplified numbers:<\/p>\n<div style=\"text-align: center\">\\(\\dfrac{3}{1} \\times \\dfrac{5}{1} = \\dfrac{15}{1} = 15\\)<\/div>\n<p>&nbsp;<br \/>\nThis give us the final answer of 15!<\/p>\n<hr>\n<h2><span id=\"Dividing_Mixed_Numbers\" class=\"m-toc-anchor\"><\/span>Dividing Mixed Numbers<\/h2>\n<p>When dividing mixed numbers, you need to convert them into improper fractions first.<\/p>\n<h3><span id=\"Example_1_3\" class=\"m-toc-anchor\"><\/span>Example 1<\/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 Divide \\(3 \\frac{1}{2} \\div 1 \\frac{1}{4}\\).<\/div>\n<p>First, convert both mixed numbers to improper fractions:<\/p>\n<div style=\"text-align: center\">\\(3\\frac{1}{2} = \\frac{(3 \\times 2)+1}{2} = \\frac{7}{2}\\)<\/div>\n<div style=\"text-align: center; margin-top: 1.5em\">\\(1\\frac{1}{4} = \\frac{(1 \\times 4)+1}{4} = \\frac{5}{4}\\)<\/div>\n<p>&nbsp;<br \/>\nNext, invert the second fraction and multiply:<\/p>\n<div style=\"text-align: center\">\\(\\dfrac{7}{2} \\div \\dfrac{5}{4} \\rightarrow \\dfrac{7}{2} \\times \\dfrac{4}{5}\\)<\/div>\n<p>&nbsp;<br \/>\nThen, we multiply the numerators and denominators:<\/p>\n<div style=\"text-align: center\">\\(\\frac{7 \\times 4}{2 \\times 5} = \\dfrac{28}{10}\\)<\/div>\n<p>&nbsp;<br \/>\nSince 28 and 10 are both divisible by 2, we can simplify \\(\\frac{28}{10}\\) to \\(\\frac{14}{5}\\).<\/p>\n<p>Finally, convert back to a mixed number:<\/p>\n<div style=\"text-align: center\">\\(14 \\div 5 = 2 \\frac{4}{5}\\)<\/div>\n<h3><span id=\"Example_2_3\" class=\"m-toc-anchor\"><\/span>Example 2<\/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 Divide \\(5 \\frac{1}{3} \\div 2 \\frac{2}{3}\\).<\/div>\n<p>Again, we need to start by converting both mixed numbers to improper fractions:<\/p>\n<div style=\"text-align: center\">\\(5\\frac{1}{3} = \\frac{(5 \\times 3)+1}{3} = \\frac{16}{3}\\)<\/div>\n<div style=\"text-align: center; margin-top: 1.5em\">\\(2\\frac{2}{3} = \\frac{(2 \\times 3)+2}{3} = \\frac{8}{3}\\)<\/div>\n<p>&nbsp;<br \/>\nNow we need to invert and multiply:<\/p>\n<div style=\"text-align: center\">\\(\\dfrac{16}{3} \\div \\dfrac{8}{3} \\rightarrow \\dfrac{16}{3} \\times \\dfrac{3}{8}\\)<\/div>\n<p>&nbsp;<br \/>\nYou can simplify before multiplying. The 3s cancel each other out, and 16 is divisible by 8.<\/p>\n<div style=\"text-align: center\">\\(\\dfrac{16}{3}\\times\\dfrac{3}{8} = \\dfrac{2}{1} \\times \\dfrac{1}{1} = 2\\)<\/div>\n<p>&nbsp;<br \/>\nThis give us the final answer of 2!<\/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 mixed numbers, 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\/proper-and-improper-fractions-and-mixed-numbers\">Learn More About Mixed Numbers!<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Use this calculator to help you quickly add, subtract, multiply, or divide mixed numbers fractions. +&#8211;\u00d7\u00f7 Calculate Found a bug? Let us know! Knowing how to add, subtract, multiply, and divide mixed numbers is an important math concept to understand! Take a look at these examples to see how each operation is performed: Adding Mixed &#8230; <a title=\"Mixed Number Calculator\" class=\"read-more\" href=\"https:\/\/www.mometrix.com\/academy\/mixed-number-calculator\/\" aria-label=\"Read more about Mixed Number Calculator\">Read more<\/a><\/p>\n","protected":false},"author":79,"featured_media":273133,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-255778","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_type-calculator"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/255778","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\/79"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=255778"}],"version-history":[{"count":5,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/255778\/revisions"}],"predecessor-version":[{"id":291629,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/255778\/revisions\/291629"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/273133"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=255778"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}