{"id":239920,"date":"2025-07-03T06:18:23","date_gmt":"2025-07-03T06:18:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=239920"},"modified":"2025-07-03T06:18:25","modified_gmt":"2025-07-03T06:18:25","slug":"divide-3-1-2%c3%b75-1-4and-express-the-answer-in-the-form-of-a-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/03\/divide-3-1-2%c3%b75-1-4and-express-the-answer-in-the-form-of-a-fraction\/","title":{"rendered":"Divide 3 1\/2\u00f75 1\/4and express the answer in the form of a fraction."},"content":{"rendered":"\n


Divide 321\u200b\u00f7541\u200b,<\/p>\n\n\n\n

and express your answer in the form of a fraction. 1 1\/2 18 3\/8 3\/2 2\/3 Question 7 Convert 3\/8 to a percent. Do not include the % sign in your answer.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

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

Let’s break down the problem you’re asking about:<\/p>\n\n\n\n

Step 1: Dividing Fractions<\/h3>\n\n\n\n

The first part of the question asks you to divide 312\u00f75143 \\frac{1}{2} \\div 5 \\frac{1}{4}321\u200b\u00f7541\u200b, and express the answer in the form of a fraction.<\/p>\n\n\n\n

To solve this:<\/p>\n\n\n\n

    \n
  1. Convert the mixed fractions to improper fractions<\/strong>:\n
      \n
    • 312=723 \\frac{1}{2} = \\frac{7}{2}321\u200b=27\u200b<\/li>\n\n\n\n
    • 514=2145 \\frac{1}{4} = \\frac{21}{4}541\u200b=421\u200b<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Divide the two fractions<\/strong>:
      To divide fractions, you multiply the first fraction by the reciprocal (inverse) of the second fraction: 72\u00f7214=72\u00d7421\\frac{7}{2} \\div \\frac{21}{4} = \\frac{7}{2} \\times \\frac{4}{21}27\u200b\u00f7421\u200b=27\u200b\u00d7214\u200b<\/li>\n\n\n\n
    • Multiply the fractions<\/strong>: 7\u00d742\u00d721=2842\\frac{7 \\times 4}{2 \\times 21} = \\frac{28}{42}2\u00d7217\u00d74\u200b=4228\u200b<\/li>\n\n\n\n
    • Simplify the fraction<\/strong>:
      2842=23\\frac{28}{42} = \\frac{2}{3}4228\u200b=32\u200b (by dividing both the numerator and denominator by 14).<\/li>\n<\/ol>\n\n\n\n

      So, the correct answer is 23\\frac{2}{3}32\u200b<\/strong>.<\/p>\n\n\n\n

      Step 2: Convert 38\\frac{3}{8}83\u200b to a Percent<\/h3>\n\n\n\n

      To convert a fraction to a percent:<\/p>\n\n\n\n

        \n
      1. Divide the numerator by the denominator<\/strong>: 38=0.375\\frac{3}{8} = 0.37583\u200b=0.375<\/li>\n\n\n\n
      2. Multiply the result by 100 to convert it to a percentage<\/strong>: 0.375\u00d7100=37.50.375 \\times 100 = 37.50.375\u00d7100=37.5<\/li>\n<\/ol>\n\n\n\n

        Thus, 38\\frac{3}{8}83\u200b as a percent is 37.5<\/strong>.<\/p>\n\n\n\n

        Final Answers:<\/h3>\n\n\n\n
          \n
        • For the division: 23\\frac{2}{3}32\u200b<\/li>\n\n\n\n
        • For the percentage conversion: 37.5<\/strong><\/li>\n<\/ul>\n\n\n\n
          \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

          Divide 321\u200b\u00f7541\u200b, and express your answer in the form of a fraction. 1 1\/2 18 3\/8 3\/2 2\/3 Question 7 Convert 3\/8 to a percent. Do not include the % sign in your answer. The Correct Answer and Explanation is: Let’s break down the problem you’re asking about: Step 1: Dividing Fractions The first part […]<\/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-239920","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239920","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=239920"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239920\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=239920"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=239920"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=239920"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}