{"id":245909,"date":"2025-07-06T14:44:43","date_gmt":"2025-07-06T14:44:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=245909"},"modified":"2025-07-06T14:44:45","modified_gmt":"2025-07-06T14:44:45","slug":"write-0-375-as-both-a-percentage-and-as-a-fraction-in-lowest-terms","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/06\/write-0-375-as-both-a-percentage-and-as-a-fraction-in-lowest-terms\/","title":{"rendered":"Write 0.375 as both a percentage and as a fraction in lowest terms"},"content":{"rendered":"\n

Write 0.375 as both a percentage and as a fraction in lowest terms. 1. Show and explain your work in converting 0.375 to a percentage. 2. Show and explain your work in converting 0.375 to a fraction in lowest terms. 3. Write a sentence that puts your answers into the context of the problem.<\/p>\n\n\n\n

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

1. Converting 0.375 to a Percentage<\/h3>\n\n\n\n

To convert a decimal to a percentage, you simply multiply the decimal by 100 and add the percentage sign. Here’s the process for 0.375:0.375\u00d7100=37.50.375 \\times 100 = 37.50.375\u00d7100=37.5<\/p>\n\n\n\n

Thus, 0.375 as a percentage is 37.5%<\/strong>.<\/p>\n\n\n\n

Explanation:<\/strong>
Multiplying a decimal by 100 shifts the decimal point two places to the right. The percentage sign is added to indicate that the result represents a portion of 100.<\/p>\n\n\n\n

\n\n\n\n

2. Converting 0.375 to a Fraction in Lowest Terms<\/h3>\n\n\n\n

To convert a decimal like 0.375 into a fraction, follow these steps:<\/p>\n\n\n\n

    \n
  • Step 1: Write the decimal as a fraction with the decimal part as the numerator and 1 as the denominator.<\/li>\n<\/ul>\n\n\n\n

    0.375=37510000.375 = \\frac{375}{1000}0.375=1000375\u200b<\/p>\n\n\n\n

      \n
    • Step 2: Simplify the fraction by finding the greatest common divisor (GCD) of 375 and 1000. The GCD of 375 and 1000 is 125.<\/li>\n\n\n\n
    • Step 3: Divide both the numerator and the denominator by the GCD (125):<\/li>\n<\/ul>\n\n\n\n

      375\u00f71251000\u00f7125=38\\frac{375 \\div 125}{1000 \\div 125} = \\frac{3}{8}1000\u00f7125375\u00f7125\u200b=83\u200b<\/p>\n\n\n\n

      Thus, 0.375 as a fraction in its lowest terms is 3\/8<\/strong>.<\/p>\n\n\n\n

      Explanation:<\/strong>
      To convert the decimal to a fraction, we wrote it as 375\/1000, and then simplified the fraction by dividing both the numerator and denominator by their GCD.<\/p>\n\n\n\n

      \n\n\n\n

      3. Contextual Sentence<\/h3>\n\n\n\n

      In this problem, we have converted the decimal 0.375 to a percentage, resulting in 37.5%, and to a fraction, resulting in 3\/8, which allows us to express the same value in two different formats: as a part of 100 and as a ratio of two integers.<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      Write 0.375 as both a percentage and as a fraction in lowest terms. 1. Show and explain your work in converting 0.375 to a percentage. 2. Show and explain your work in converting 0.375 to a fraction in lowest terms. 3. Write a sentence that puts your answers into the context of the problem. The […]<\/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-245909","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/245909","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=245909"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/245909\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=245909"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=245909"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=245909"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}