{"id":149561,"date":"2024-10-07T13:20:52","date_gmt":"2024-10-07T13:20:52","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149561"},"modified":"2024-10-07T13:20:54","modified_gmt":"2024-10-07T13:20:54","slug":"20-100-simplified-as-a-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/07\/20-100-simplified-as-a-fraction\/","title":{"rendered":"20\/100 simplified as a fraction"},"content":{"rendered":"\n

20\/100 simplified as a fraction<\/p>\n\n\n\n

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

The correct answqer is: ( \\frac{1}{5} )<\/mark><\/strong><\/p>\n\n\n\n

To simplify the fraction ( \\frac{20}{100} ), we need to find the greatest common divisor (GCD) of the numerator (20) and the denominator (100) and divide both by this number.<\/p>\n\n\n\n

Step 1: Find the GCD<\/h3>\n\n\n\n
    \n
  1. Prime Factorization<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • For 20, the prime factors are ( 2^2 \\times 5^1 ).<\/li>\n\n\n\n
    • For 100, the prime factors are ( 2^2 \\times 5^2 ).<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Common Factors<\/strong>:<\/li>\n<\/ol>\n\n\n\n
          \n
        • The common prime factors are ( 2^2 ) and ( 5^1 ).<\/li>\n\n\n\n
        • To find the GCD, we take the lowest power of each common factor:\n
            \n
          • ( 2^2 = 4 )<\/li>\n\n\n\n
          • ( 5^1 = 5 )<\/li>\n<\/ul>\n<\/li>\n\n\n\n
          • Therefore, the GCD is ( 4 \\times 5 = 20 ).<\/li>\n<\/ul>\n\n\n\n

            Step 2: Divide Numerator and Denominator by the GCD<\/h3>\n\n\n\n

            Now that we have the GCD (20), we divide both the numerator and the denominator by this number:<\/p>\n\n\n\n

            [
            \\frac{20 \\div 20}{100 \\div 20} = \\frac{1}{5}
            ]<\/p>\n\n\n\n

            Conclusion<\/h3>\n\n\n\n

            Thus, the simplified form of ( \\frac{20}{100} ) is ( \\frac{1}{5} ).<\/p>\n\n\n\n

            Explanation<\/h3>\n\n\n\n

            Fractions are a way to represent a part of a whole, and simplifying fractions makes them easier to understand and work with. The process of simplification involves reducing a fraction to its simplest form, where the numerator and denominator share no common factors other than 1.<\/p>\n\n\n\n

            In this case, ( \\frac{20}{100} ) can also be understood in practical terms. If you think of it as 20 out of 100, this is equivalent to 20%, which is the same as saying you have one part of a five-part whole. Therefore, simplifying helps not just in mathematical terms but also in real-life applications, like understanding percentages or ratios. Simplified fractions are easier to compare and compute, making them essential in various fields, including finance, cooking, and statistics.<\/p>\n\n\n\n

            Thus, ( \\frac{20}{100} ) simplifies to ( \\frac{1}{5} ), which clearly conveys the same ratio in a more manageable form.<\/p>\n","protected":false},"excerpt":{"rendered":"

            20\/100 simplified as a fraction The Correct Answer and Explanation is : The correct answqer is: ( \\frac{1}{5} ) To simplify the fraction ( \\frac{20}{100} ), we need to find the greatest common divisor (GCD) of the numerator (20) and the denominator (100) and divide both by this number. Step 1: Find the GCD Step […]<\/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-149561","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149561","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=149561"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149561\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149561"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149561"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149561"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}