{"id":45324,"date":"2025-07-01T05:42:23","date_gmt":"2025-07-01T05:42:23","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=45324"},"modified":"2025-07-01T05:42:25","modified_gmt":"2025-07-01T05:42:25","slug":"subtract-the-following-mixed-fractions","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/subtract-the-following-mixed-fractions\/","title":{"rendered":"Subtract the following mixed fractions."},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"494\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/image-8.png\" alt=\"\" class=\"wp-image-45325\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/image-8.png 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/image-8-300x145.png 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/image-8-768x371.png 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve the subtraction of mixed fractions 615\u22124166 \\frac{1}{5} &#8211; 4 \\frac{1}{6}651\u200b\u2212461\u200b, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Convert the mixed fractions to improper fractions<\/strong>:\n<ul class=\"wp-block-list\">\n<li>For 6156 \\frac{1}{5}651\u200b, convert it to an improper fraction: 615=(6\u00d75+1)\u00f75=3156 \\frac{1}{5} = \\left( 6 \\times 5 + 1 \\right) \\div 5 = \\frac{31}{5}651\u200b=(6\u00d75+1)\u00f75=531\u200b<\/li>\n\n\n\n<li>For 4164 \\frac{1}{6}461\u200b, convert it to an improper fraction: 416=(4\u00d76+1)\u00f76=2564 \\frac{1}{6} = \\left( 4 \\times 6 + 1 \\right) \\div 6 = \\frac{25}{6}461\u200b=(4\u00d76+1)\u00f76=625\u200b<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Find a common denominator<\/strong>:<br>The denominators are 5 and 6. The least common denominator (LCD) of 5 and 6 is 30. Now, rewrite each fraction with 30 as the denominator:\n<ul class=\"wp-block-list\">\n<li>315\\frac{31}{5}531\u200b becomes 31\u00d765\u00d76=18630\\frac{31 \\times 6}{5 \\times 6} = \\frac{186}{30}5\u00d7631\u00d76\u200b=30186\u200b<\/li>\n\n\n\n<li>256\\frac{25}{6}625\u200b becomes 25\u00d756\u00d75=12530\\frac{25 \\times 5}{6 \\times 5} = \\frac{125}{30}6\u00d7525\u00d75\u200b=30125\u200b<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Subtract the fractions<\/strong>:<br>Now that both fractions have the same denominator, subtract the numerators: 18630\u221212530=186\u221212530=6130\\frac{186}{30} &#8211; \\frac{125}{30} = \\frac{186 &#8211; 125}{30} = \\frac{61}{30}30186\u200b\u221230125\u200b=30186\u2212125\u200b=3061\u200b<\/li>\n\n\n\n<li><strong>Convert the improper fraction back to a mixed number<\/strong>:<br>To convert 6130\\frac{61}{30}3061\u200b to a mixed number, divide 61 by 30: 61\u00f730=2\u00a0remainder\u00a0161 \\div 30 = 2 \\text{ remainder } 161\u00f730=2\u00a0remainder\u00a01 So, 6130=2130\\frac{61}{30} = 2 \\frac{1}{30}3061\u200b=2301\u200b.<\/li>\n<\/ol>\n\n\n\n<p>Thus, the result of 615\u22124166 \\frac{1}{5} &#8211; 4 \\frac{1}{6}651\u200b\u2212461\u200b is 21302 \\frac{1}{30}2301\u200b.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner8-26.jpeg\" alt=\"\" class=\"wp-image-45326\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner8-26.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner8-26-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner8-26-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: To solve the subtraction of mixed fractions 615\u22124166 \\frac{1}{5} &#8211; 4 \\frac{1}{6}651\u200b\u2212461\u200b, follow these steps: Thus, the result of 615\u22124166 \\frac{1}{5} &#8211; 4 \\frac{1}{6}651\u200b\u2212461\u200b is 21302 \\frac{1}{30}2301\u200b.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-45324","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45324","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=45324"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45324\/revisions"}],"predecessor-version":[{"id":45327,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45324\/revisions\/45327"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=45324"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=45324"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=45324"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}