{"id":167458,"date":"2024-11-15T18:22:45","date_gmt":"2024-11-15T18:22:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167458"},"modified":"2024-11-15T18:24:04","modified_gmt":"2024-11-15T18:24:04","slug":"convert-the-decimal-0-625-into-a-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/15\/convert-the-decimal-0-625-into-a-fraction\/","title":{"rendered":"Convert the decimal 0.625 into a fraction."},"content":{"rendered":"\n

Convert the decimal 0.625 into a fraction.
A) 5\/8
B) 3\/4
C) 2\/5
D) 4\/5<\/p>\n\n\n\n

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

To convert the decimal 0.625<\/strong> into a fraction, follow these steps:<\/p>\n\n\n\n

Step 1: Understand the Decimal<\/h3>\n\n\n\n

The number 0.625<\/strong> is a decimal with three digits after the decimal point. This indicates it is in the thousandths<\/strong> place, as there are three digits after the decimal point.<\/p>\n\n\n\n

Step 2: Express the Decimal as a Fraction<\/h3>\n\n\n\n

To convert 0.625 into a fraction, we can write it as:<\/p>\n\n\n\n

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

This means 0.625<\/strong> is the same as 625 thousandths<\/strong>. The next step is to simplify this fraction by finding the greatest common divisor (GCD) of 625 and 1000.<\/p>\n\n\n\n

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

We need to simplify (\\frac{625}{1000})<\/strong> by dividing both the numerator (625) and the denominator (1000) by their GCD. To find the GCD of 625 and 1000, we begin by factoring each number.<\/p>\n\n\n\n

    \n
  • 625<\/strong> factors as: ( 625 = 5^4 )<\/li>\n\n\n\n
  • 1000<\/strong> factors as: ( 1000 = 2^3 \\times 5^3 )<\/li>\n<\/ul>\n\n\n\n

    The common factors between 625 and 1000 are powers of 5, specifically (5^3 = 125). Therefore, the GCD of 625 and 1000 is 125<\/strong>.<\/p>\n\n\n\n

    Step 4: Divide Both the Numerator and Denominator by the GCD<\/h3>\n\n\n\n

    Now, divide both the numerator and the denominator of (\\frac{625}{1000})<\/strong> by 125<\/strong>:<\/p>\n\n\n\n

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

    Step 5: Conclusion<\/h3>\n\n\n\n

    After simplifying, we find that 0.625<\/strong> is equivalent to the fraction (\\frac{5}{8})<\/strong>.<\/p>\n\n\n\n

    Thus, the correct answer is A) 5\/8<\/strong>.<\/p>\n\n\n\n

    Explanation of the Options:<\/h3>\n\n\n\n
      \n
    • A) 5\/8<\/strong>: This is the correct simplified fraction.<\/li>\n\n\n\n
    • B) 3\/4<\/strong>: This fraction is larger than 0.625, as 3 divided by 4 equals 0.75.<\/li>\n\n\n\n
    • C) 2\/5<\/strong>: This fraction equals 0.4, which is less than 0.625.<\/li>\n\n\n\n
    • D) 4\/5<\/strong>: This fraction equals 0.8, which is greater than 0.625.<\/li>\n<\/ul>\n\n\n\n

      Therefore, the correct fraction representation of 0.625<\/strong> is 5\/8<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"

      Convert the decimal 0.625 into a fraction.A) 5\/8B) 3\/4C) 2\/5D) 4\/5 The Correct Answer and Explanation is: To convert the decimal 0.625 into a fraction, follow these steps: Step 1: Understand the Decimal The number 0.625 is a decimal with three digits after the decimal point. This indicates it is in the thousandths place, as […]<\/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-167458","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167458","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=167458"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167458\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167458"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167458"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167458"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}