{"id":144793,"date":"2024-09-25T12:14:42","date_gmt":"2024-09-25T12:14:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=144793"},"modified":"2024-09-25T12:14:44","modified_gmt":"2024-09-25T12:14:44","slug":"write-1-875-as-a-mixed-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/25\/write-1-875-as-a-mixed-number\/","title":{"rendered":"Write 1.875 as a mixed number."},"content":{"rendered":"\n

Write 1.875 as a mixed number.<\/p>\n\n\n\n

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

To convert the decimal 1.875 into a mixed number, we start by identifying its whole number and fractional parts.<\/p>\n\n\n\n

    \n
  1. Identify the Whole Number:<\/strong>\n
      \n
    • The whole number part of 1.875 is 1<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Convert the Decimal to a Fraction:<\/strong>\n
        \n
      • Next, we focus on the decimal part, which is 0.875<\/strong>. To convert this decimal to a fraction, we recognize that it has three decimal places. Therefore, we can express it as: 0.875=87510000.875 = \\frac{875}{1000}0.875=1000875\u200b<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • Simplify the Fraction:<\/strong>\n
          \n
        • To simplify 8751000\\frac{875}{1000}1000875\u200b, we need to find the greatest common divisor (GCD) of 875 and 1000. The GCD of 875 and 1000 is 125<\/strong>.<\/li>\n\n\n\n
        • We divide both the numerator and the denominator by their GCD: 875\u00f71251000\u00f7125=78\\frac{875 \\div 125}{1000 \\div 125} = \\frac{7}{8}1000\u00f7125875\u00f7125\u200b=87\u200b<\/li>\n\n\n\n
        • Thus, 0.8750.8750.875 can be written as 78\\frac{7}{8}87\u200b.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
        • Combine the Whole Number and the Fraction:<\/strong>\n
            \n
          • Now, we can combine the whole number part and the simplified fraction: 1.875=1+0.875=1+78=1781.875 = 1 + 0.875 = 1 + \\frac{7}{8} = 1 \\frac{7}{8}1.875=1+0.875=1+87\u200b=187\u200b<\/li>\n<\/ul>\n<\/li>\n\n\n\n
          • Final Answer:<\/strong>\n
              \n
            • Therefore, the decimal 1.875 as a mixed number is: 1781 \\frac{7}{8}187\u200b<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n

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

              The conversion process involves separating the whole number from the decimal, converting the decimal into a fraction, simplifying it, and finally combining it back with the whole number. This method is applicable to any decimal number, facilitating its representation as a mixed number. The mixed number 1781 \\frac{7}{8}187\u200b conveys both the whole part (1) and the fractional part (78\\frac{7}{8}87\u200b), which effectively captures the value of the original decimal 1.875.<\/p>\n","protected":false},"excerpt":{"rendered":"

              Write 1.875 as a mixed number. The Correct answer and Explanation is: To convert the decimal 1.875 into a mixed number, we start by identifying its whole number and fractional parts. Summary The conversion process involves separating the whole number from the decimal, converting the decimal into a fraction, simplifying it, and finally combining it […]<\/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-144793","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144793","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=144793"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144793\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=144793"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=144793"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=144793"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}