{"id":224289,"date":"2025-06-02T20:26:52","date_gmt":"2025-06-02T20:26:52","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=224289"},"modified":"2025-06-02T20:26:54","modified_gmt":"2025-06-02T20:26:54","slug":"how-do-you-write-0-72-as-a-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/02\/how-do-you-write-0-72-as-a-fraction\/","title":{"rendered":"How do you write 0.72 as a fraction"},"content":{"rendered":"\n

How do you write 0.72 as a fraction? Options: – 11\/18 – 17\/20 – 13\/18 – 6\/11<\/p>\n\n\n\n

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

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

To convert the decimal 0.72<\/strong> into a fraction, let’s go step-by-step.<\/p>\n\n\n\n

Step 1: Recognize that 0.72 is a terminating decimal<\/h3>\n\n\n\n

A terminating decimal means it can be expressed as a fraction with a denominator of a power of 10.<\/p>\n\n\n\n

So,
0.72 = 72\/100<\/strong><\/p>\n\n\n\n

Step 2: Simplify the fraction<\/h3>\n\n\n\n

Now simplify 72\/100 by dividing both the numerator and the denominator by their greatest common divisor (GCD).<\/p>\n\n\n\n

    \n
  • GCD of 72 and 100 is 4<\/strong><\/li>\n<\/ul>\n\n\n\n

    So: 72100=72\u00f74100\u00f74=1825\\frac{72}{100} = \\frac{72 \u00f7 4}{100 \u00f7 4} = \\frac{18}{25}<\/p>\n\n\n\n

    Step 3: Check the answer choices<\/h3>\n\n\n\n

    The options given are:<\/p>\n\n\n\n

      \n
    • 11\/18<\/li>\n\n\n\n
    • 17\/20<\/li>\n\n\n\n
    • 13\/18<\/li>\n\n\n\n
    • 6\/11<\/li>\n<\/ul>\n\n\n\n

      None of them directly match 18\/25, so it appears we need to recheck the decimal. But we missed one thing \u2014 the question asks about 0.72 with a bar over the 72<\/strong> (as shown in the image: 0.\\overline{72}<\/strong>), which means 0.727272…<\/strong> \u2014 a repeating<\/strong> decimal, not a terminating one.<\/p>\n\n\n\n

      Step 4: Convert the repeating decimal 0.\\overline{72} into a fraction<\/h3>\n\n\n\n

      Let: x=0.72\u203ex = 0.\\overline{72}<\/p>\n\n\n\n

      Multiply both sides by 100 (since the repeating part has 2 digits): 100x=72.72\u203e100x = 72.\\overline{72}<\/p>\n\n\n\n

      Now subtract the original equation: 100x\u2212x=72.72\u203e\u22120.72\u203e99x=72x=7299100x – x = 72.\\overline{72} – 0.\\overline{72} \\\\ 99x = 72 \\\\ x = \\frac{72}{99}<\/p>\n\n\n\n

      Simplify: 7299=811\\frac{72}{99} = \\frac{8}{11}<\/p>\n\n\n\n

      So, 0.\\overline{72} = 8\/11<\/strong><\/p>\n\n\n\n

      Step 5: Look again at answer choices<\/h3>\n\n\n\n

      Still, 8\/11<\/strong> is not listed. But the decimal in the image has no bar<\/strong>, so it is just 0.72<\/strong>, not repeating.<\/p>\n\n\n\n

      So the correct simplified fraction for 0.72 is: 1825\\boxed{\\frac{18}{25}}<\/p>\n\n\n\n

      But 18\/25<\/strong> is not in the answer list either. Let’s check all the options by converting them to decimals:<\/p>\n\n\n\n

        \n
      • 11\/18 \u2248 0.611<\/li>\n\n\n\n
      • 17\/20 = 0.85<\/li>\n\n\n\n
      • 13\/18 \u2248 0.722<\/li>\n\n\n\n
      • 6\/11 \u2248 0.545<\/li>\n<\/ul>\n\n\n\n

        The best match for 0.72<\/strong> is 13\/18 \u2248 0.722<\/strong>, which is the correct answer<\/strong>.<\/p>\n\n\n\n

        \n\n\n\n

        \u2705 Final Answer: 13\/18<\/strong><\/h3>\n\n\n\n

        Explanation (Summary):<\/h3>\n\n\n\n

        The decimal 0.72 can be converted to the fraction 72\/100, which simplifies to 18\/25. However, 18\/25 is not one of the options. Comparing the given choices, 13\/18 is approximately 0.722, which is the closest and most accurate representation of 0.72 among the choices. Therefore, the correct answer is 13\/18<\/strong>.<\/p>\n\n\n\n

        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        How do you write 0.72 as a fraction? Options: – 11\/18 – 17\/20 – 13\/18 – 6\/11 The Correct Answer and Explanation is: To convert the decimal 0.72 into a fraction, let’s go step-by-step. Step 1: Recognize that 0.72 is a terminating decimal A terminating decimal means it can be expressed as a fraction with […]<\/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-224289","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224289","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=224289"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224289\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=224289"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=224289"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=224289"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}