{"id":167956,"date":"2024-11-16T13:24:51","date_gmt":"2024-11-16T13:24:51","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167956"},"modified":"2024-11-16T13:24:56","modified_gmt":"2024-11-16T13:24:56","slug":"what-is-20-divided-by-3-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/16\/what-is-20-divided-by-3-4\/","title":{"rendered":"What is 20 divided by 3\/4"},"content":{"rendered":"\n<p>What is 20 divided by 3\/4<\/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 the problem <strong>20 \u00f7 (3\/4)<\/strong>, you need to divide 20 by the fraction 3\/4. In mathematics, dividing by a fraction is equivalent to multiplying by its reciprocal.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-step Solution:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understand the operation:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When you divide by a fraction, you multiply by its reciprocal. The reciprocal of 3\/4 is 4\/3.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Rewrite the division as multiplication:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The expression 20 \u00f7 (3\/4) can be rewritten as:<br>[<br>20 \\times \\left( \\frac{4}{3} \\right)<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Convert 20 to a fraction:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>20 is a whole number, and we can express it as a fraction by placing it over 1:<br>[<br>20 = \\frac{20}{1}<br>]<br>So, the equation becomes:<br>[<br>\\frac{20}{1} \\times \\frac{4}{3}<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Multiply the fractions:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To multiply two fractions, multiply the numerators (top numbers) and the denominators (bottom numbers):<br>[<br>\\frac{20 \\times 4}{1 \\times 3} = \\frac{80}{3}<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Simplify the result:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The result is <strong>80\/3<\/strong>, which is an improper fraction.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Convert to a mixed number (optional):<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To express the improper fraction as a mixed number, divide 80 by 3:<br>[<br>80 \u00f7 3 = 26 \\text{ remainder } 2<br>]<br>So, <strong>80\/3<\/strong> is equivalent to:<br>[<br>26 \\frac{2}{3}<br>]<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The result of 20 \u00f7 (3\/4) is <strong>80\/3<\/strong>, or as a mixed number, <strong>26 2\/3<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Dividing by a fraction is a common mathematical operation, and understanding it helps simplify many problems. Dividing by a fraction like 3\/4 essentially asks, &#8220;How many times does 3\/4 fit into 20?&#8221; Instead of performing complex steps, we use the reciprocal (4\/3) to make the operation easier. By multiplying 20 by 4\/3, we convert the problem into a multiplication of whole numbers, which is a more straightforward process.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is 20 divided by 3\/4 The Correct Answer and Explanation is: To solve the problem 20 \u00f7 (3\/4), you need to divide 20 by the fraction 3\/4. In mathematics, dividing by a fraction is equivalent to multiplying by its reciprocal. Step-by-step Solution: Final Answer: Explanation: Dividing by a fraction is a common mathematical operation, [&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-167956","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167956","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=167956"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167956\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167956"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167956"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167956"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}