{"id":263982,"date":"2025-07-21T10:27:51","date_gmt":"2025-07-21T10:27:51","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=263982"},"modified":"2025-07-21T10:27:53","modified_gmt":"2025-07-21T10:27:53","slug":"write-0-375-as-an-unreduced-fraction-and-use-words-to-name-the-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/21\/write-0-375-as-an-unreduced-fraction-and-use-words-to-name-the-number\/","title":{"rendered":"Write 0.375 as an unreduced fraction and use words to name the number."},"content":{"rendered":"\n<p>Write 0.375 as an unreduced fraction and use words to name the number.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The decimal 0.375 can be written as the fraction 3751000\\frac{375}{1000}1000375\u200b. To express this in words, the number is &#8220;three hundred seventy-five thousandths.&#8221;<\/p>\n\n\n\n<p>Now let&#8217;s break down the conversion and explanation:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert Decimal to Fraction<\/h3>\n\n\n\n<p>When you write a decimal as a fraction, you place the decimal number over a power of 10, depending on the number of digits after the decimal point. Since 0.375 has three decimal places, you place it over 1000 (10^3):0.375=37510000.375 = \\frac{375}{1000}0.375=1000375\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Simplify the Fraction (if needed)<\/h3>\n\n\n\n<p>To simplify the fraction, you would need to find the greatest common factor (GCF) of 375 and 1000. First, find the prime factorizations:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>375 = 3\u00d7533 \\times 5^33\u00d753<\/li>\n\n\n\n<li>1000 = 23\u00d7532^3 \\times 5^323\u00d753<\/li>\n<\/ul>\n\n\n\n<p>The GCF of 375 and 1000 is 53=1255^3 = 12553=125.<\/p>\n\n\n\n<p>Now divide both the numerator and the denominator by 125:3751000=375\u00f71251000\u00f7125=38\\frac{375}{1000} = \\frac{375 \\div 125}{1000 \\div 125} = \\frac{3}{8}1000375\u200b=1000\u00f7125375\u00f7125\u200b=83\u200b<\/p>\n\n\n\n<p>However, since the question asked for the unreduced fraction, we stop here and don\u2019t simplify it. So, the unreduced fraction is:3751000\\frac{375}{1000}1000375\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Expressing in Words<\/h3>\n\n\n\n<p>The fraction 3751000\\frac{375}{1000}1000375\u200b is read as &#8220;three hundred seventy-five thousandths&#8221; because the denominator tells us that the number is divided into thousandths, and the numerator indicates how many thousandths we have.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<p>Thus, the unreduced fraction form of 0.375 is 3751000\\frac{375}{1000}1000375\u200b, and in words, it is &#8220;three hundred seventy-five thousandths.&#8221;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1355.jpeg\" alt=\"\" class=\"wp-image-263985\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write 0.375 as an unreduced fraction and use words to name the number. The Correct Answer and Explanation is: The decimal 0.375 can be written as the fraction 3751000\\frac{375}{1000}1000375\u200b. To express this in words, the number is &#8220;three hundred seventy-five thousandths.&#8221; Now let&#8217;s break down the conversion and explanation: Step 1: Convert Decimal to Fraction [&hellip;]<\/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-263982","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263982","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=263982"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263982\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=263982"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=263982"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=263982"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}