{"id":118326,"date":"2022-06-29T10:59:22","date_gmt":"2022-06-29T05:29:22","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=118326"},"modified":"2022-05-10T14:25:16","modified_gmt":"2022-05-10T08:55:16","slug":"subtraction-of-mixed-fractions","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/subtraction-of-mixed-fractions\/","title":{"rendered":"Subtraction of Mixed Fractions with Like, Unlike Denominators | How to Subtract Mixed Fractions?"},"content":{"rendered":"<p><strong>Subtraction of Mixed Fractions:<\/strong> The operation of subtracting mixed fractions is similar to the <a href=\"https:\/\/ccssanswers.com\/addition-of-mixed-fractions\/\">addition of mixed fractions<\/a>. So, the students who have knowledge of the addition of mixed fractions can easily solve the subtraction of mixed fractions. There are different methods to find the subtraction of mixed fractions.<\/p>\n<p>We will discuss how to subtract the mixed fractions with brief explanations here. So, the students are suggested to read the steps and know how to subtract mixed fractions with whole numbers, unlike denominators, and like denominators.<\/p>\n<p><strong>Do Refer:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/ccssanswers.com\/subtraction-of-unlike-fractions\/\">Subtraction of Unlike Fractions<\/a><\/li>\n<li><a href=\"https:\/\/ccssanswers.com\/subtraction-of-fractions-having-the-same-denominator\/\">Subtraction of Fractions having the Same Denominator<\/a><\/li>\n<\/ul>\n<h3>Subtraction of Mixed Fractions with Different Denominators | Subtracting Mixed Fractions with Unlike Denominators<\/h3>\n<p>If the denominators of the given fractions are different then convert the unlike denominators to the like denominators. And then convert into the improper fraction and subtract the numerators.<br \/>\n<strong>Example: <\/strong><br \/>\nSubtract the mixed fractions 7 \\(\\frac{1}{5}\\) and 3 \\(\\frac{1}{4}\\)<br \/>\n<strong>Solution:<br \/>\n<\/strong>Given the fractions 7 \\(\\frac{1}{5}\\) and 3 \\(\\frac{1}{4}\\)<br \/>\nHere the denominators of the fractions are different.<br \/>\nYou need to find the common denominator of the given fractions.<br \/>\nMultiples of 5: 5, 10, 15, 20,..<br \/>\nMultiples of 4: 4, 8, 12, 16, 20,&#8230;<br \/>\n20 is the LCM of 4 and 5.<br \/>\nNow rewrite the given fractions with common denominator.<br \/>\n\\(\\frac{1}{5}\\) . \\(\\frac{1}{4}\\) = \\(\\frac{4}{20}\\)<br \/>\n\\(\\frac{1}{4}\\) . \\(\\frac{5}{5}\\) = \\(\\frac{5}{20}\\)<br \/>\nWrite the expression using the mixed fractions with same denominator<br \/>\n7 \\(\\frac{4}{20}\\) &#8211; 3 \\(\\frac{5}{20}\\)<br \/>\n6 \\(\\frac{24}{20}\\) &#8211; 3 \\(\\frac{5}{20}\\)<br \/>\n6 &#8211; 3 = 3<br \/>\n\\(\\frac{24}{20}\\) &#8211; \\(\\frac{5}{20}\\) = \\(\\frac{19}{20}\\)<br \/>\nNow combine the whole number and the fraction<br \/>\n6 \\(\\frac{19}{20}\\)<br \/>\nThus the subtraction of the mixed fractions 7 \\(\\frac{1}{5}\\) and 3 \\(\\frac{1}{4}\\) is 6 \\(\\frac{19}{20}\\)<\/p>\n<h3>Subtraction of Mixed Fractions with Same Denominators | Mixed Fractions Subtraction with Like Denominators<\/h3>\n<p>The subtracting fraction problems are those that have two proper fractions with a common denominator. If the denominators are the same you can subtract the numerators and write the fractions. The process is the same for subtracting mixed fractions with the same denominators.<br \/>\n<strong>Example: <\/strong><br \/>\nSubtract 6 \\(\\frac{1}{3}\\) and 2 \\(\\frac{1}{3}\\)<br \/>\n<strong>Solution:<br \/>\n<\/strong>Given the mixed fractions 6 \\(\\frac{1}{3}\\) and 2 \\(\\frac{1}{3}\\)<br \/>\nHere the denominators of the fractions are the same.<br \/>\nFirst, subtract the whole numbers and then subtract the like fractions.<br \/>\n6 &#8211; 2 = 4<br \/>\n\\(\\frac{1}{3}\\) &#8211; \\(\\frac{1}{3}\\) = 0<br \/>\nThus the subtraction of the mixed fractions 6 \\(\\frac{1}{3}\\) and 2 \\(\\frac{1}{3}\\) is 4.<\/p>\n<h3>How to Subtract Mixed Fractions with Whole Numbers?<\/h3>\n<p>In subtracting mixed fractions with whole numbers you have to make the whole number as a mixed number to perform the subtraction operation. For better understanding let us see some examples regarding subtracting mixed fractions with whole numbers.<br \/>\n<strong>Example:<\/strong> Subtract the fractions 6 and 4\\(\\frac{2}{3}\\).<br \/>\n<strong>Solution:<br \/>\n<\/strong>Given the fractions 6 and 4\\(\\frac{2}{3}\\)<br \/>\n6 &#8211; 4\\(\\frac{2}{3}\\)<br \/>\nLet us write the equivalent fraction that has the same denominator.<br \/>\n5\\(\\frac{3}{3}\\) &#8211; 4\\(\\frac{2}{3}\\)<br \/>\nFirst subtract the whole numbers.<br \/>\n5 &#8211; 4 = 1<br \/>\n\\(\\frac{3}{3}\\) &#8211; \\(\\frac{2}{3}\\) = \\(\\frac{1}{3}\\)<br \/>\nNow combine the results<br \/>\n1\\(\\frac{1}{3}\\)<br \/>\nThus the subtraction of the mixed fractions 6 and 4\\(\\frac{2}{3}\\) is 1\\(\\frac{1}{3}\\)<\/p>\n<h3>How to Solve Subtraction of Mixed Fractions?<\/h3>\n<p>There are some steps to subtract the mixed fractions with whole numbers, unlike denominators, and like denominators. Follow the below-given steps and try to solve the problems related to the subtraction of mixed fractions.<br \/>\n1. In the case of whole numbers first convert the whole number into the mixed number with the same denominator and then subtract the mixed fractions.<br \/>\n2. In the case of like or same denominators convert the mixed fractions into the improper fractions and then perform subtraction operations.<br \/>\n[or]<br \/>\nSubtract the whole number first and then subtract the fractions and then combine the result.<br \/>\n3. In the case of subtraction of mixed fractions with different or unlike denominators find the lcm of the denominators and then subtract the mixed fractions.<\/p>\n<h3>Examples of Subtraction of Mixed Fractions<\/h3>\n<p><strong>Example 1.<\/strong><br \/>\nSubtract the fractions 3 \\(\\frac{1}{100}\\) and 2 \\(\\frac{1}{100}\\).<br \/>\n<strong>Solution:<br \/>\n<\/strong>Given the mixed fractions 3 \\(\\frac{1}{100}\\) and 2 \\(\\frac{1}{100}\\).<br \/>\nHere the denominators of the fractions are the same.<br \/>\nFirst, subtract the whole numbers and then subtract the like fractions.<br \/>\n3 \\(\\frac{1}{100}\\) &#8211; 2 \\(\\frac{1}{100}\\)<br \/>\n3 &#8211; 2 = 1<br \/>\nNow subtract the fractions with the same denominator.<br \/>\n\\(\\frac{1}{100}\\) &#8211; \\(\\frac{1}{100}\\) = 0<br \/>\nThus the difference of 3 \\(\\frac{1}{100}\\) and 2 \\(\\frac{1}{100}\\) is 1<\/p>\n<p><strong>Example 2.<\/strong><br \/>\nSubtract the fractions 7 \\(\\frac{1}{12}\\) and 7 \\(\\frac{1}{12}\\).<br \/>\n<strong>Solution:<\/strong><br \/>\nGiven the fractions 7 \\(\\frac{1}{12}\\) and 7 \\(\\frac{1}{12}\\).<br \/>\nHere the denominators of the fractions are the same.<br \/>\nFirst, subtract the whole numbers and then subtract the like fractions.<br \/>\n7 \\(\\frac{1}{12}\\) &#8211; 7 \\(\\frac{1}{12}\\)<br \/>\n7 &#8211; 7 = 0<br \/>\nNow subtract the fractions with the same denominator.<br \/>\n\\(\\frac{1}{12}\\) &#8211; \\(\\frac{1}{12}\\) = 0<br \/>\nTherefore the subtraction of the mixed fractions 7 \\(\\frac{1}{12}\\) and 7 \\(\\frac{1}{12}\\) is 0.<\/p>\n<p><strong>Example 3.<\/strong><br \/>\nSubtract the fractions 5 and 2 \\(\\frac{1}{5}\\).<br \/>\n<strong>Solution:<\/strong><br \/>\nGiven the fractions 5 and 2 \\(\\frac{1}{5}\\).<br \/>\n5 &#8211; 2\\(\\frac{1}{5}\\)<br \/>\nLet us write the equivalent fraction that has the same denominator.<br \/>\n4\\(\\frac{5}{5}\\) &#8211; 2\\(\\frac{1}{5}\\)<br \/>\nFirst subtract the whole numbers.<br \/>\n4 &#8211; 2 = 2<br \/>\n\\(\\frac{5}{5}\\) &#8211; \\(\\frac{1}{5}\\) = \\(\\frac{4}{5}\\)<br \/>\nNow combine the results<br \/>\n2\\(\\frac{4}{5}\\)<br \/>\nTherefore the subtraction of the mixed fractions with whole number 5 and 2 \\(\\frac{1}{5}\\) is 2\\(\\frac{4}{5}\\)<\/p>\n<p><strong>Example 4.<\/strong><br \/>\nSubtract the fractions 6 \\(\\frac{1}{4}\\) and 2 \\(\\frac{3}{4}\\).<br \/>\n<strong>Solution:<\/strong><br \/>\nGiven the fractions 6 \\(\\frac{1}{4}\\) and 2 \\(\\frac{3}{4}\\).<br \/>\nHere the denominators of the fractions are the same.<br \/>\nWrite the equivalent fraction of the fraction.<br \/>\n6 \\(\\frac{1}{4}\\) &#8211; 2 \\(\\frac{3}{4}\\)<br \/>\n6 \\(\\frac{1}{4}\\) can be written as 5 \\(\\frac{5}{4}\\)<br \/>\n5 \\(\\frac{5}{4}\\) &#8211; 2 \\(\\frac{3}{4}\\)<br \/>\nFirst, subtract the whole numbers and then subtract the like fractions.<br \/>\n5 &#8211; 2 = 3<br \/>\nNow subtract the fractions with the same denominator.<br \/>\n\\(\\frac{5}{4}\\) &#8211; \\(\\frac{3}{4}\\) = \\(\\frac{2}{4}\\)<br \/>\nNow combine the results<br \/>\n3\\(\\frac{2}{4}\\)<br \/>\nTherefore the subtraction of the mixed fractions 6 \\(\\frac{1}{4}\\) and 2 \\(\\frac{3}{4}\\) is 3\\(\\frac{2}{4}\\)<\/p>\n<p><strong>Example 5.<\/strong><br \/>\nSubtract the fractions 9 \\(\\frac{1}{6}\\) and 6 \\(\\frac{1}{3}\\).<br \/>\nSolution:<br \/>\nGiven the fractions 9 \\(\\frac{1}{6}\\) and 6 \\(\\frac{1}{3}\\).<br \/>\nHere the denominators of the fractions are the same.<br \/>\nWrite the equivalent fraction of the fraction.<br \/>\nFind the LCM of 3 and 6.<br \/>\nMultiples of 3 is 3, 6, 9,&#8230;<br \/>\nMultiples of 6 is 6, 12, 18,..<br \/>\nThus the LCM of 3 and 6 is 6.<br \/>\n9 \\(\\frac{1}{6}\\) &#8211; 6 \\(\\frac{1}{3}\\)<br \/>\n9 \\(\\frac{1}{6}\\) \u00d7 \\(\\frac{1}{1}\\)&#8211; 6 \\(\\frac{1}{3}\\) \u00d7 \\(\\frac{2}{2}\\)<br \/>\n9 \\(\\frac{1}{6}\\) &#8211; 6 \\(\\frac{2}{6}\\)<br \/>\nNow the denominators of the fractions are the same.<br \/>\n8 \\(\\frac{7}{6}\\) &#8211; 6 \\(\\frac{2}{6}\\)<br \/>\nFirst, subtract the whole numbers and then subtract the like fractions.<br \/>\n8 &#8211; 6 = 2<br \/>\nNow subtract the fractions with the same denominator.<br \/>\n\\(\\frac{7}{6}\\) &#8211; \\(\\frac{2}{6}\\) = \\(\\frac{5}{6}\\)<br \/>\nNow combine the results<br \/>\n2\\(\\frac{5}{6}\\)<br \/>\nTherefore the subtraction of the mixed fractions 9 \\(\\frac{1}{6}\\) and 6 \\(\\frac{1}{3}\\) is 2\\(\\frac{5}{6}\\)<\/p>\n<h3>FAQs on Subtraction of Mixed Fractions<\/h3>\n<p><strong>1. What is meant by a mixed fraction?<\/strong><\/p>\n<p>A fraction represented with its quotient and the remainder is a mixed fraction. For example, 1 1\/2 is a mixed fraction where 1 is the quotient, 1 is the remainder.<\/p>\n<p><strong>2. What is the formula of the mixed fractions?<\/strong><\/p>\n<p>(i) Divide the Fraction&#8217;s numerator with the denominator, i.e. 4\/3.<br \/>\n(ii) The integer part of the answer will be the integer part for a mixed fraction, i.e. 1 is an integer.<br \/>\n(iii) The Denominator will be the same as the original, i.e 3.<\/p>\n<p><strong>3. How to subtract mixed fractions?<\/strong><\/p>\n<p>Subtraction of mixed fractions is the same as the addition of mixed fractions. We have to convert mixed fractions into improper fractions then subtract them.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subtraction of Mixed Fractions: The operation of subtracting mixed fractions is similar to the addition of mixed fractions. So, the students who have knowledge of the addition of mixed fractions can easily solve the subtraction of mixed fractions. There are different methods to find the subtraction of mixed fractions. We will discuss how to subtract &#8230; <a title=\"Subtraction of Mixed Fractions with Like, Unlike Denominators | How to Subtract Mixed Fractions?\" class=\"read-more\" href=\"https:\/\/ccssanswers.com\/subtraction-of-mixed-fractions\/\" aria-label=\"More on Subtraction of Mixed Fractions with Like, Unlike Denominators | How to Subtract Mixed Fractions?\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":118415,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/06\/Subtraction-of-Mixed-Fractions.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/118326"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=118326"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/118326\/revisions"}],"predecessor-version":[{"id":135405,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/118326\/revisions\/135405"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/118415"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=118326"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=118326"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=118326"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}