{"id":166459,"date":"2024-11-13T17:44:13","date_gmt":"2024-11-13T17:44:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=166459"},"modified":"2024-11-13T17:44:15","modified_gmt":"2024-11-13T17:44:15","slug":"3-4-times-2-in-a-simplified-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/13\/3-4-times-2-in-a-simplified-fraction\/","title":{"rendered":"3\/4 times 2 in a simplified fraction"},"content":{"rendered":"\n<p>3\/4 times 2 in a simplified fraction?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve ( \\frac{3}{4} \\times 2 ) and express it as a simplified fraction, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Express the number 2 as a fraction<\/h3>\n\n\n\n<p>The number 2 can be written as a fraction by expressing it over 1. This gives:<br>[<br>2 = \\frac{2}{1}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Multiply the fractions<\/h3>\n\n\n\n<p>To multiply fractions, multiply the numerators (top numbers) and the denominators (bottom numbers) separately:<br>[<br>\\frac{3}{4} \\times \\frac{2}{1} = \\frac{3 \\times 2}{4 \\times 1} = \\frac{6}{4}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplify the fraction<\/h3>\n\n\n\n<p>The fraction ( \\frac{6}{4} ) can be simplified. To do this, find the greatest common divisor (GCD) of the numerator (6) and the denominator (4). The GCD of 6 and 4 is 2.<\/p>\n\n\n\n<p>Now, divide both the numerator and the denominator by 2:<br>[<br>\\frac{6}{4} = \\frac{6 \\div 2}{4 \\div 2} = \\frac{3}{2}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>So, ( \\frac{3}{4} \\times 2 = \\frac{3}{2} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The process of multiplying fractions involves straightforward multiplication of the numerators and denominators. In this case, ( \\frac{3}{4} \\times 2 ) becomes ( \\frac{6}{4} ). After multiplying, the next step is simplifying the result. Simplifying a fraction involves dividing both the numerator and the denominator by their greatest common divisor (GCD). Here, the GCD of 6 and 4 is 2. By dividing both the numerator and denominator by 2, we get the simplified fraction ( \\frac{3}{2} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Additional Notes:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fractions can be simplified by identifying and dividing by the GCD of the numerator and the denominator. This reduces the fraction to its simplest form.<\/li>\n\n\n\n<li>( \\frac{3}{2} ) is an improper fraction because the numerator (3) is larger than the denominator (2). It can also be expressed as a mixed number: ( 1 \\frac{1}{2} ), but the fraction ( \\frac{3}{2} ) is generally preferred in mathematical contexts when working with fractions.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>3\/4 times 2 in a simplified fraction? The Correct Answer and Explanation is: To solve ( \\frac{3}{4} \\times 2 ) and express it as a simplified fraction, follow these steps: Step 1: Express the number 2 as a fraction The number 2 can be written as a fraction by expressing it over 1. This gives:[2 [&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-166459","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166459","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=166459"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166459\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=166459"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=166459"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=166459"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}