{"id":157035,"date":"2024-10-17T20:41:33","date_gmt":"2024-10-17T20:41:33","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=157035"},"modified":"2024-10-17T20:41:36","modified_gmt":"2024-10-17T20:41:36","slug":"write-4-135-as-a-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/write-4-135-as-a-fraction\/","title":{"rendered":"Write 4.135 as a fraction"},"content":{"rendered":"\n<p>Write 4.135 as a fraction<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To convert the decimal 4.135 into a fraction, we can follow a systematic process:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the Whole Number and Decimal Part<\/strong>: The number 4.135 consists of a whole number part, which is 4, and a decimal part, which is 0.135.<\/li>\n\n\n\n<li><strong>Convert the Decimal to a Fraction<\/strong>: The decimal 0.135 can be expressed as a fraction. Since there are three digits after the decimal point, we can write 0.135 as (\\frac{135}{1000}). This is because the decimal place indicates the power of ten that corresponds to the fraction&#8217;s denominator.<\/li>\n\n\n\n<li><strong>Simplify the Fraction<\/strong>: Next, we need to simplify (\\frac{135}{1000}). To do this, we find the greatest common divisor (GCD) of the numerator (135) and the denominator (1000).<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The prime factorization of 135 is (3^3 \\times 5) (since (135 = 3 \\times 45 = 3 \\times 3 \\times 15 = 3^2 \\times 3 \\times 5)).<\/li>\n\n\n\n<li>The prime factorization of 1000 is (10^3 = 2^3 \\times 5^3). The common factor is (5), so we divide both the numerator and the denominator by (5): [<br>\\frac{135 \\div 5}{1000 \\div 5} = \\frac{27}{200}.<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Combine Whole Number and Fraction<\/strong>: Now, we can express the original number 4.135 as a mixed number. Since 4 is the whole number and (\\frac{27}{200}) is the fractional part, we write it as: [<br>4.135 = 4 + \\frac{27}{200} = \\frac{4 \\times 200 + 27}{200} = \\frac{800 + 27}{200} = \\frac{827}{200}.<br>]<\/li>\n<\/ol>\n\n\n\n<p>Thus, the decimal 4.135 can be expressed as the fraction (\\frac{827}{200}).<\/p>\n\n\n\n<p>In conclusion, converting decimals to fractions involves isolating the decimal part, converting it to a fraction, simplifying, and then combining it with any whole number. The final result is that (4.135) equals (\\frac{827}{200}).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 4.135 as a fraction The Correct Answer and Explanation is : To convert the decimal 4.135 into a fraction, we can follow a systematic process: Thus, the decimal 4.135 can be expressed as the fraction (\\frac{827}{200}). In conclusion, converting decimals to fractions involves isolating the decimal part, converting it to a fraction, simplifying, and [&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-157035","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157035","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=157035"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157035\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=157035"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=157035"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=157035"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}