{"id":248259,"date":"2025-07-08T09:18:40","date_gmt":"2025-07-08T09:18:40","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=248259"},"modified":"2025-07-08T09:18:43","modified_gmt":"2025-07-08T09:18:43","slug":"change-the-fraction-to-a-mixed-number-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/08\/change-the-fraction-to-a-mixed-number-in-simplest-form\/","title":{"rendered":"Change the fraction to a mixed number in simplest form."},"content":{"rendered":"\n

Change the fraction to a mixed number in simplest form. 4(14)\/(12)<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To convert the improper fraction 4 14\/12<\/strong> to a mixed number in its simplest form, let’s break it down into steps:<\/p>\n\n\n\n

Step 1: Simplify the Fraction Part<\/h3>\n\n\n\n

You are given the fraction 14\/12<\/strong> as part of the mixed number.<\/p>\n\n\n\n

First, simplify 14\/12<\/strong>:<\/p>\n\n\n\n

    \n
  • The greatest common divisor (GCD) of 14 and 12 is 2<\/strong>.<\/li>\n\n\n\n
  • Divide both the numerator (14) and the denominator (12) by 2: 1412=14\u00f7212\u00f72=76\\frac{14}{12} = \\frac{14 \\div 2}{12 \\div 2} = \\frac{7}{6}1214\u200b=12\u00f7214\u00f72\u200b=67\u200b<\/li>\n<\/ul>\n\n\n\n

    Now, the mixed number becomes 4 7\/6<\/strong>.<\/p>\n\n\n\n

    Step 2: Convert the Improper Fraction into a Mixed Number<\/h3>\n\n\n\n

    Now, focus on the 7\/6<\/strong> part:<\/p>\n\n\n\n

      \n
    • 7\/6<\/strong> is an improper fraction, meaning the numerator is greater than the denominator.<\/li>\n\n\n\n
    • Divide 7 by 6: 7\u00f76=1\u00a0remainder\u00a017 \\div 6 = 1 \\text{ remainder } 17\u00f76=1\u00a0remainder\u00a01 This means 7\/6<\/strong> is the same as 1 1\/6<\/strong>.<\/li>\n<\/ul>\n\n\n\n

      Step 3: Add the Whole Number Part<\/h3>\n\n\n\n

      Now, add the whole number 4 from the original mixed number to the whole number 1 from 1 1\/6<\/strong>:<\/p>\n\n\n\n

        \n
      • 4+1=54 + 1 = 54+1=5<\/li>\n<\/ul>\n\n\n\n

        Thus, the mixed number is 5 1\/6<\/strong>.<\/p>\n\n\n\n

        Final Answer:<\/h3>\n\n\n\n

        So, 4 14\/12<\/strong> as a mixed number in simplest form is 5 1\/6<\/strong>.<\/p>\n\n\n\n

        Explanation Recap:<\/h3>\n\n\n\n
          \n
        • First, simplified 14\/12<\/strong> to 7\/6<\/strong>.<\/li>\n\n\n\n
        • Converted 7\/6<\/strong> into a mixed number, which became 1 1\/6<\/strong>.<\/li>\n\n\n\n
        • Added the whole number 4 to 1, resulting in 5 1\/6<\/strong>.<\/li>\n<\/ul>\n\n\n\n
          \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

          Change the fraction to a mixed number in simplest form. 4(14)\/(12) The Correct Answer and Explanation is: To convert the improper fraction 4 14\/12 to a mixed number in its simplest form, let’s break it down into steps: Step 1: Simplify the Fraction Part You are given the fraction 14\/12 as part of the mixed […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-248259","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248259","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=248259"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248259\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=248259"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=248259"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=248259"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}