{"id":165364,"date":"2024-11-11T21:10:59","date_gmt":"2024-11-11T21:10:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=165364"},"modified":"2024-11-11T21:11:01","modified_gmt":"2024-11-11T21:11:01","slug":"what-is-3-625-written-as-a-fraction-in-lowest-terms","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/11\/what-is-3-625-written-as-a-fraction-in-lowest-terms\/","title":{"rendered":"What is 3.625 written as a fraction in lowest terms"},"content":{"rendered":"\n

What is 3.625 written as a fraction in lowest terms?<\/p>\n\n\n\n

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

To convert the decimal 3.625<\/strong> to a fraction in its lowest terms, we need to follow a systematic process. Here’s a step-by-step explanation:<\/p>\n\n\n\n

Step 1: Separate the whole number and decimal part<\/h3>\n\n\n\n

The number 3.625<\/strong> consists of two parts:<\/p>\n\n\n\n

    \n
  • The whole number 3<\/strong>.<\/li>\n\n\n\n
  • The decimal part 0.625<\/strong>.<\/li>\n<\/ul>\n\n\n\n

    We will first convert 0.625<\/strong> to a fraction and then add it to the whole number.<\/p>\n\n\n\n

    Step 2: Convert the decimal part to a fraction<\/h3>\n\n\n\n

    To convert 0.625<\/strong> to a fraction, we note that it has three decimal places. This means that 0.625<\/strong> is the same as 625 thousandths<\/strong>, or:<\/p>\n\n\n\n

    [
    0.625 = \\frac{625}{1000}
    ]<\/p>\n\n\n\n

    Step 3: Simplify the fraction<\/h3>\n\n\n\n

    Next, we simplify the fraction 625\/1000<\/strong> by finding the greatest common divisor (GCD) of 625 and 1000.<\/p>\n\n\n\n

      \n
    • The prime factorization of 625<\/strong> is ( 5^4 ).<\/li>\n\n\n\n
    • The prime factorization of 1000<\/strong> is ( 2^3 \\times 5^3 ).<\/li>\n<\/ul>\n\n\n\n

      The GCD is ( 5^3 = 125 ), so we divide both the numerator and denominator by 125:<\/p>\n\n\n\n

      [
      \\frac{625}{1000} = \\frac{625 \\div 125}{1000 \\div 125} = \\frac{5}{8}
      ]<\/p>\n\n\n\n

      Thus, 0.625<\/strong> as a fraction is 5\/8<\/strong>.<\/p>\n\n\n\n

      Step 4: Add the whole number<\/h3>\n\n\n\n

      Now, we can combine the whole number 3<\/strong> and the fractional part 5\/8<\/strong>:<\/p>\n\n\n\n

      [
      3 + \\frac{5}{8} = \\frac{3 \\times 8}{8} + \\frac{5}{8} = \\frac{24}{8} + \\frac{5}{8} = \\frac{29}{8}
      ]<\/p>\n\n\n\n

      Final Answer:<\/h3>\n\n\n\n

      So, 3.625<\/strong> as a fraction in lowest terms is:<\/p>\n\n\n\n

      [
      \\frac{29}{8}
      ]<\/p>\n\n\n\n

      Explanation:<\/h3>\n\n\n\n

      We converted the decimal 3.625<\/strong> by separating it into a whole number and a decimal part, converting the decimal to a fraction, and simplifying it. Finally, we combined the whole number and the fraction to get 29\/8<\/strong> as the final result.<\/p>\n","protected":false},"excerpt":{"rendered":"

      What is 3.625 written as a fraction in lowest terms? The Correct Answer and Explanation is: To convert the decimal 3.625 to a fraction in its lowest terms, we need to follow a systematic process. Here’s a step-by-step explanation: Step 1: Separate the whole number and decimal part The number 3.625 consists of two parts: […]<\/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-165364","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165364","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=165364"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165364\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=165364"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=165364"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=165364"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}