{"id":149905,"date":"2024-10-08T05:17:42","date_gmt":"2024-10-08T05:17:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149905"},"modified":"2024-10-08T05:17:49","modified_gmt":"2024-10-08T05:17:49","slug":"1-5-divided-by-15-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/08\/1-5-divided-by-15-4\/","title":{"rendered":"1\/5 divided by 15\/4"},"content":{"rendered":"\n<p>1\/5 divided by 15\/4<\/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>The correct answer is:<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-3-color\"><strong> ( \\frac{4}{75} )<\/strong><\/mark><\/p>\n\n\n\n<p>To divide fractions, you can follow a straightforward process: multiply the first fraction by the reciprocal of the second fraction. Here\u2019s how you can solve ( \\frac{1}{5} \\div \\frac{15}{4} ):<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the fractions<\/strong>: You have ( \\frac{1}{5} ) and ( \\frac{15}{4} ).<\/li>\n\n\n\n<li><strong>Find the reciprocal of the second fraction<\/strong>: The reciprocal of ( \\frac{15}{4} ) is ( \\frac{4}{15} ).<\/li>\n\n\n\n<li><strong>Rewrite the division as multiplication<\/strong>: [<br>\\frac{1}{5} \\div \\frac{15}{4} = \\frac{1}{5} \\times \\frac{4}{15}<br>]<\/li>\n\n\n\n<li><strong>Multiply the fractions<\/strong>: To multiply fractions, multiply the numerators together and the denominators together: [<br>\\frac{1 \\times 4}{5 \\times 15} = \\frac{4}{75}<br>]<\/li>\n\n\n\n<li><strong>Final Result<\/strong>: The result of ( \\frac{1}{5} \\div \\frac{15}{4} ) is ( \\frac{4}{75} ).<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>When dividing fractions, the process of multiplying by the reciprocal simplifies the calculation. This is based on the property that dividing by a number is equivalent to multiplying by its reciprocal. The reciprocal of a fraction ( \\frac{a}{b} ) is ( \\frac{b}{a} ).<\/p>\n\n\n\n<p>In this case, we begin with ( \\frac{1}{5} ), which is a simple fraction representing one part out of five equal parts. When we divide this by ( \\frac{15}{4} ), we are essentially asking how many times ( \\frac{15}{4} ) fits into ( \\frac{1}{5} ). By flipping ( \\frac{15}{4} ) to its reciprocal ( \\frac{4}{15} ) and performing multiplication, we can directly find the solution without complex division.<\/p>\n\n\n\n<p>This method is not only efficient but also eliminates potential errors that can arise from dividing fractions directly. Multiplying the numerators and denominators yields a product that can often be simplified further, although in this case ( \\frac{4}{75} ) is already in its simplest form. Thus, the final answer is ( \\frac{4}{75} ).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1\/5 divided by 15\/4 The Correct answer and Explanation is : The correct answer is: ( \\frac{4}{75} ) To divide fractions, you can follow a straightforward process: multiply the first fraction by the reciprocal of the second fraction. Here\u2019s how you can solve ( \\frac{1}{5} \\div \\frac{15}{4} ): Explanation When dividing fractions, the process of [&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-149905","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149905","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=149905"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149905\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149905"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149905"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149905"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}