{"id":148306,"date":"2024-10-04T12:17:28","date_gmt":"2024-10-04T12:17:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=148306"},"modified":"2024-10-04T12:17:31","modified_gmt":"2024-10-04T12:17:31","slug":"what-is-the-answer-to-3-4-divided-by-2-5","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/04\/what-is-the-answer-to-3-4-divided-by-2-5\/","title":{"rendered":"What is the answer to 3\/4 divided by 2\/5"},"content":{"rendered":"\n<p>What is the answer to 3\/4 divided by 2\/5<\/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 solve the problem of dividing ( \\frac{3}{4} ) by ( \\frac{2}{5} ), you can follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand Division of Fractions<\/h3>\n\n\n\n<p>Dividing fractions is not as straightforward as dividing whole numbers. Instead of dividing directly, we can use the rule that states:<\/p>\n\n\n\n<p>[<br>\\frac{a}{b} \\div \\frac{c}{d} = \\frac{a}{b} \\times \\frac{d}{c}<br>]<\/p>\n\n\n\n<p>In this case, you will multiply by the reciprocal of the second fraction.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Find the Reciprocal<\/h3>\n\n\n\n<p>The reciprocal of ( \\frac{2}{5} ) is ( \\frac{5}{2} ). This means you will rewrite the division problem as a multiplication problem:<\/p>\n\n\n\n<p>[<br>\\frac{3}{4} \\div \\frac{2}{5} = \\frac{3}{4} \\times \\frac{5}{2}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Multiply the Fractions<\/h3>\n\n\n\n<p>Now you can multiply the fractions together. To multiply fractions, you simply multiply the numerators together and the denominators together:<\/p>\n\n\n\n<p>[<br>\\frac{3 \\times 5}{4 \\times 2} = \\frac{15}{8}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Simplify if Necessary<\/h3>\n\n\n\n<p>In this case, ( \\frac{15}{8} ) is already in its simplest form. However, you can also express it as a mixed number. To convert ( \\frac{15}{8} ) into a mixed number, divide the numerator by the denominator:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( 15 \\div 8 = 1 ) with a remainder of ( 7 ).<\/li>\n<\/ul>\n\n\n\n<p>Thus,<\/p>\n\n\n\n<p>[<br>\\frac{15}{8} = 1 \\frac{7}{8}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p>The result of ( \\frac{3}{4} \\div \\frac{2}{5} ) is ( \\frac{15}{8} ) or ( 1 \\frac{7}{8} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Understanding how to divide fractions by using the reciprocal can make the process straightforward. Always remember to simplify your final answer where possible, and converting to a mixed number can provide a clearer understanding of the quantity represented by the fraction.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the answer to 3\/4 divided by 2\/5 The Correct Answer and Explanation is : To solve the problem of dividing ( \\frac{3}{4} ) by ( \\frac{2}{5} ), you can follow these steps: Step 1: Understand Division of Fractions Dividing fractions is not as straightforward as dividing whole numbers. Instead of dividing directly, we [&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-148306","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/148306","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=148306"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/148306\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=148306"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=148306"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=148306"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}