{"id":161430,"date":"2024-11-04T19:11:54","date_gmt":"2024-11-04T19:11:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=161430"},"modified":"2024-11-04T19:11:56","modified_gmt":"2024-11-04T19:11:56","slug":"the-fraction-24-28-in-simplest-form-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/04\/the-fraction-24-28-in-simplest-form-is\/","title":{"rendered":"The fraction 24\/28 in simplest form is"},"content":{"rendered":"\n

The fraction 24\/28 in simplest form is _<\/strong>.<\/p>\n\n\n\n

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

The fraction ( \\frac{24}{28} ) in simplest form is ( \\frac{6}{7} ).<\/p>\n\n\n\n

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

To simplify a fraction, we divide the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD). In this case, we start by finding the GCD of 24 and 28.<\/p>\n\n\n\n

Step 1: Find the GCD of 24 and 28<\/h4>\n\n\n\n
    \n
  1. First, list the factors of each number:<\/li>\n<\/ol>\n\n\n\n
      \n
    • Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24<\/li>\n\n\n\n
    • Factors of 28: 1, 2, 4, 7, 14, 28<\/li>\n<\/ul>\n\n\n\n
        \n
      1. The largest common factor between 24 and 28 is 4.<\/li>\n<\/ol>\n\n\n\n

        Thus, the GCD of 24 and 28 is 4.<\/p>\n\n\n\n

        Step 2: Divide by the GCD<\/h4>\n\n\n\n

        Now that we know the GCD is 4, we can divide both the numerator and the denominator of ( \\frac{24}{28} ) by 4:
        [
        \\frac{24 \\div 4}{28 \\div 4} = \\frac{6}{7}
        ]<\/p>\n\n\n\n

        Step 3: Verify that ( \\frac{6}{7} ) is in Simplest Form<\/h4>\n\n\n\n

        To ensure that ( \\frac{6}{7} ) is the simplest form, check that 6 and 7 have no common factors other than 1, which they don\u2019t. Therefore, ( \\frac{6}{7} ) is indeed the fraction in simplest form.<\/p>\n\n\n\n

        Why Simplifying Fractions Matters<\/h3>\n\n\n\n

        Simplifying fractions is essential for a few reasons:<\/p>\n\n\n\n

          \n
        1. Ease of Understanding<\/strong>: A simplified fraction, like ( \\frac{6}{7} ), is easier to interpret and compare with other fractions.<\/li>\n\n\n\n
        2. Consistency<\/strong>: Simplified forms are standard in mathematics, so using the simplest version allows for consistent communication.<\/li>\n\n\n\n
        3. Application in Calculations<\/strong>: Simplified fractions make arithmetic operations more straightforward, reducing the risk of errors in complex calculations.<\/li>\n<\/ol>\n\n\n\n

          In conclusion, simplifying ( \\frac{24}{28} ) to ( \\frac{6}{7} ) demonstrates a basic mathematical process that is useful across many areas, ensuring clarity and efficiency in working with fractions.<\/p>\n","protected":false},"excerpt":{"rendered":"

          The fraction 24\/28 in simplest form is _. The Correct Answer and Explanation is : The fraction ( \\frac{24}{28} ) in simplest form is ( \\frac{6}{7} ). Explanation To simplify a fraction, we divide the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD). In this case, we start by […]<\/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-161430","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161430","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=161430"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161430\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=161430"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=161430"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=161430"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}