{"id":156170,"date":"2024-10-17T04:57:49","date_gmt":"2024-10-17T04:57:49","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156170"},"modified":"2024-10-17T04:57:52","modified_gmt":"2024-10-17T04:57:52","slug":"write-the-ratio-369-as-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/write-the-ratio-369-as-a-fraction-in-simplest-form\/","title":{"rendered":"Write the ratio 36:9 as a fraction in simplest form"},"content":{"rendered":"\n

Write the ratio 36:9 as a fraction in simplest form<\/p>\n\n\n\n

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

To convert the ratio ( 36:9 ) into a fraction in simplest form, we can follow these steps:<\/p>\n\n\n\n

    \n
  1. Understand the Ratio<\/strong>: The ratio ( 36:9 ) means that for every 36 units of one quantity, there are 9 units of another. We can express this ratio as a fraction: [
    \\frac{36}{9}
    ]<\/li>\n\n\n\n
  2. Simplify the Fraction<\/strong>: To simplify the fraction, we need to divide both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor (GCD). The GCD of 36 and 9 is 9.<\/li>\n\n\n\n
  3. Perform the Division<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • Divide the numerator by the GCD:
      [
      36 \\div 9 = 4
      ]<\/li>\n\n\n\n
    • Divide the denominator by the GCD:
      [
      9 \\div 9 = 1
      ]<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Write the Simplified Fraction<\/strong>: After simplifying, we get:
        [
        \\frac{4}{1}
        ]<\/li>\n<\/ol>\n\n\n\n

        This means that the ratio ( 36:9 ) in simplest form is ( \\frac{4}{1} ).<\/p>\n\n\n\n

          \n
        1. Interpret the Result<\/strong>: The fraction ( \\frac{4}{1} ) indicates that for every 1 unit of the second quantity (9 in the original ratio), there are 4 units of the first quantity (36 in the original ratio). This simplified form is useful in various applications, such as cooking, budgeting, or comparing quantities, as it provides a clearer understanding of the relationship between the two values.<\/li>\n<\/ol>\n\n\n\n

          In summary, the ratio ( 36:9 ) can be simplified to the fraction ( \\frac{4}{1} ) by dividing both the numerator and denominator by their GCD, which helps clarify the proportional relationship between the two quantities.<\/p>\n","protected":false},"excerpt":{"rendered":"

          Write the ratio 36:9 as a fraction in simplest form The Correct Answer and Explanation is : To convert the ratio ( 36:9 ) into a fraction in simplest form, we can follow these steps: This means that the ratio ( 36:9 ) in simplest form is ( \\frac{4}{1} ). In summary, the ratio ( […]<\/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-156170","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156170","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=156170"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156170\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156170"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156170"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}