{"id":160782,"date":"2024-11-03T12:34:35","date_gmt":"2024-11-03T12:34:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=160782"},"modified":"2024-11-03T12:34:37","modified_gmt":"2024-11-03T12:34:37","slug":"what-is-the-quotient-of-4-divided-by-9-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/03\/what-is-the-quotient-of-4-divided-by-9-2\/","title":{"rendered":"What is the quotient of 4 divided by 9\/2"},"content":{"rendered":"\n<p>What is the quotient of 4 divided by 9\/2 ?<\/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 find the quotient of (4) divided by (\\frac{9}{2}), we\u2019ll start by understanding the division of a whole number by a fraction.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Rewrite the Division as Multiplication<\/h3>\n\n\n\n<p>When you divide by a fraction, it&#8217;s the same as multiplying by the reciprocal of that fraction. The reciprocal of a fraction is created by swapping its numerator and denominator. Here, the reciprocal of (\\frac{9}{2}) is (\\frac{2}{9}).<\/p>\n\n\n\n<p>So:<br>[<br>4 \\div \\frac{9}{2} = 4 \\times \\frac{2}{9}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Perform the Multiplication<\/h3>\n\n\n\n<p>Now that we\u2019ve changed the division to multiplication, we can multiply:<br>[<br>4 \\times \\frac{2}{9} = \\frac{4 \\times 2}{9} = \\frac{8}{9}<br>]<\/p>\n\n\n\n<p>So, the answer is:<br>[<br>\\frac{8}{9}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Detailed Explanation<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Dividing by a Fraction<\/strong>: Dividing by a fraction essentially means finding how many times the fraction fits into the number you are dividing. For example, dividing by (\\frac{9}{2}) is like asking, &#8220;How many times does (\\frac{9}{2}) go into (4)?&#8221; This can be tricky to visualize directly, which is why we convert division by a fraction into multiplication by the reciprocal.<\/li>\n\n\n\n<li><strong>Multiplying by the Reciprocal<\/strong>: This method makes it easier to perform the operation. Instead of dividing by a fraction, which can be complex, we simply multiply by the flipped version of that fraction. This approach is a standard rule in math for dividing by fractions and simplifies calculations.<\/li>\n\n\n\n<li><strong>Simplifying the Calculation<\/strong>: By rewriting (4 \\div \\frac{9}{2}) as (4 \\times \\frac{2}{9}), we avoid dealing with complex division and instead perform simple multiplication. Multiplying (4) by (\\frac{2}{9}) gives us (\\frac{8}{9}), which is already in its simplest form since (8) and (9) have no common factors other than (1).<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p>The quotient of (4) divided by (\\frac{9}{2}) is (\\frac{8}{9}).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the quotient of 4 divided by 9\/2 ? The Correct Answer and Explanation is: To find the quotient of (4) divided by (\\frac{9}{2}), we\u2019ll start by understanding the division of a whole number by a fraction. Step 1: Rewrite the Division as Multiplication When you divide by a fraction, it&#8217;s the same as [&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-160782","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160782","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=160782"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160782\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160782"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160782"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160782"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}