{"id":145994,"date":"2024-09-30T06:20:26","date_gmt":"2024-09-30T06:20:26","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=145994"},"modified":"2024-09-30T06:20:28","modified_gmt":"2024-09-30T06:20:28","slug":"what-is-1-667-as-a-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/30\/what-is-1-667-as-a-fraction\/","title":{"rendered":"What is 1.667 as a fraction"},"content":{"rendered":"\n

What is 1.667 as a fraction<\/p>\n\n\n\n

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

To convert the decimal 1.667 into a fraction, follow these steps:<\/p>\n\n\n\n

Step 1: Separate the Whole Number<\/h3>\n\n\n\n

The decimal 1.667 can be broken down into its whole number and decimal parts. Here, the whole number is 1, and the decimal part is 0.667.<\/p>\n\n\n\n

Step 2: Convert the Decimal to a Fraction<\/h3>\n\n\n\n

Next, we need to convert the decimal 0.667 into a fraction.<\/p>\n\n\n\n

    \n
  1. Identify the Decimal Places<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • The decimal 0.667 has three decimal places.<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Express as a Fraction<\/strong>:<\/li>\n<\/ol>\n\n\n\n
          \n
        • To convert 0.667 into a fraction, write it as (\\frac{667}{1000}) because there are three digits after the decimal point, which means we use 1000 as the denominator.<\/li>\n<\/ul>\n\n\n\n

          Step 3: Combine the Whole Number and Fraction<\/h3>\n\n\n\n

          Now, we combine the whole number with the fraction:
          [
          1.667 = 1 + 0.667 = 1 + \\frac{667}{1000} = \\frac{1000}{1000} + \\frac{667}{1000} = \\frac{1000 + 667}{1000} = \\frac{1667}{1000}
          ]<\/p>\n\n\n\n

          Step 4: Simplify the Fraction<\/h3>\n\n\n\n

          Next, we check if (\\frac{1667}{1000}) can be simplified. To do this, we need to find the greatest common divisor (GCD) of 1667 and 1000.<\/p>\n\n\n\n

            \n
          • Prime Factorization<\/strong>:<\/li>\n\n\n\n
          • The number 1000 can be factored as (2^3 \\times 5^3).<\/li>\n\n\n\n
          • For 1667, we can check if it’s divisible by small prime numbers. Upon testing, we find that 1667 is a prime number, meaning it has no divisors other than 1 and itself.<\/li>\n<\/ul>\n\n\n\n

            Since the GCD of 1667 and 1000 is 1, the fraction (\\frac{1667}{1000}) is already in its simplest form.<\/p>\n\n\n\n

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

            Therefore, the decimal 1.667 can be expressed as the fraction (\\frac{1667}{1000}). This process illustrates how to convert a decimal into a fraction, showing the steps of separating whole numbers, converting decimals, and simplifying fractions.<\/p>\n","protected":false},"excerpt":{"rendered":"

            What is 1.667 as a fraction The Correct Answer and Explanation is : To convert the decimal 1.667 into a fraction, follow these steps: Step 1: Separate the Whole Number The decimal 1.667 can be broken down into its whole number and decimal parts. Here, the whole number is 1, and the decimal part is […]<\/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-145994","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145994","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=145994"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145994\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=145994"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=145994"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=145994"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}