{"id":150889,"date":"2024-10-09T12:32:25","date_gmt":"2024-10-09T12:32:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=150889"},"modified":"2024-10-09T12:32:28","modified_gmt":"2024-10-09T12:32:28","slug":"what-is-275-in-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/09\/what-is-275-in-a-fraction-in-simplest-form\/","title":{"rendered":"What is .275 in a fraction in simplest form"},"content":{"rendered":"\n

What is .275 in a fraction in simplest form?<\/p>\n\n\n\n

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

The correct answer is: (\\frac{275}{1000})<\/strong><\/mark><\/p>\n\n\n\n

To convert the decimal 0.275 into a fraction, we can follow a systematic approach. Here\u2019s how to do it step-by-step:<\/p>\n\n\n\n

    \n
  1. Write the Decimal as a Fraction<\/strong>: The decimal 0.275 can be expressed as (\\frac{275}{1000}) because there are three digits after the decimal point. This means that 0.275 is equivalent to 275 thousandths.<\/li>\n\n\n\n
  2. Simplify the Fraction<\/strong>: The next step is to simplify (\\frac{275}{1000}) by finding the greatest common divisor (GCD) of the numerator (275) and the denominator (1000).<\/li>\n<\/ol>\n\n\n\n
      \n
    • Finding the GCD<\/strong>:\n
        \n
      • The prime factorization of 275 is (5 \\times 5 \\times 11) or (5^2 \\times 11).<\/li>\n\n\n\n
      • The prime factorization of 1000 is (10 \\times 10 \\times 10) or (2^3 \\times 5^3).<\/li>\n\n\n\n
      • The common prime factor here is 5.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • Calculating the GCD<\/strong>: The GCD of 275 and 1000 is 5.<\/li>\n<\/ul>\n\n\n\n
          \n
        1. Dividing by the GCD<\/strong>: To simplify (\\frac{275}{1000}), we divide both the numerator and the denominator by their GCD (5):
          [
          \\frac{275 \\div 5}{1000 \\div 5} = \\frac{55}{200}
          ]<\/li>\n\n\n\n
        2. Further Simplification<\/strong>: Next, we check if (\\frac{55}{200}) can be simplified further. The prime factorization of 55 is (5 \\times 11) and for 200, it\u2019s (2^3 \\times 5^2). The common factor again is 5.<\/li>\n<\/ol>\n\n\n\n
            \n
          • Dividing both by 5 gives:
            [
            \\frac{55 \\div 5}{200 \\div 5} = \\frac{11}{40}
            ]<\/li>\n<\/ul>\n\n\n\n
              \n
            1. Final Result<\/strong>: The simplest form of the fraction equivalent to the decimal 0.275 is (\\frac{11}{40}).<\/li>\n<\/ol>\n\n\n\n

              Summary<\/h3>\n\n\n\n

              The decimal 0.275 can be expressed as the fraction (\\frac{275}{1000}). By simplifying this fraction through finding the GCD and reducing, we arrive at (\\frac{11}{40}) as the simplest form. This process illustrates the conversion from decimal to fraction and the importance of simplifying for clarity and ease of use.<\/p>\n","protected":false},"excerpt":{"rendered":"

              What is .275 in a fraction in simplest form? The Correct Answer and Explanation is : The correct answer is: (\\frac{275}{1000}) To convert the decimal 0.275 into a fraction, we can follow a systematic approach. Here\u2019s how to do it step-by-step: Summary The decimal 0.275 can be expressed as the fraction (\\frac{275}{1000}). By simplifying this […]<\/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-150889","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150889","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=150889"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150889\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=150889"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=150889"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=150889"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}