{"id":140950,"date":"2024-09-20T07:48:29","date_gmt":"2024-09-20T07:48:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=140950"},"modified":"2024-09-20T07:48:31","modified_gmt":"2024-09-20T07:48:31","slug":"divide-5-1-2-divided-by-2-1-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/20\/divide-5-1-2-divided-by-2-1-2\/","title":{"rendered":"Divide: 5 1\/2 divided by 2 1\/2 ="},"content":{"rendered":"\n<p>Divide: 5 1\/2 divided by 2 1\/2 =<\/p>\n\n\n\n<p>A.<br>2 1\/5<\/p>\n\n\n\n<p>B.<br>2.0<\/p>\n\n\n\n<p>C.<br>21\/2<\/p>\n\n\n\n<p>D.<br>23\/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>To divide the mixed numbers (5 \\frac{1}{2}) and (2 \\frac{1}{2}), we first convert them into improper fractions.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert Mixed Numbers to Improper Fractions<\/h3>\n\n\n\n<p>For (5 \\frac{1}{2}):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply the whole number (5) by the denominator (2): (5 \\times 2 = 10)<\/li>\n\n\n\n<li>Add the numerator (1): (10 + 1 = 11)<\/li>\n\n\n\n<li>So, (5 \\frac{1}{2} = \\frac{11}{2})<\/li>\n<\/ul>\n\n\n\n<p>For (2 \\frac{1}{2}):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply the whole number (2) by the denominator (2): (2 \\times 2 = 4)<\/li>\n\n\n\n<li>Add the numerator (1): (4 + 1 = 5)<\/li>\n\n\n\n<li>So, (2 \\frac{1}{2} = \\frac{5}{2})<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Set Up the Division<\/h3>\n\n\n\n<p>Now we have:<br>[<br>\\frac{11}{2} \\div \\frac{5}{2}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Convert Division to Multiplication<\/h3>\n\n\n\n<p>To divide by a fraction, we multiply by its reciprocal:<br>[<br>\\frac{11}{2} \\div \\frac{5}{2} = \\frac{11}{2} \\times \\frac{2}{5}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Multiply the Fractions<\/h3>\n\n\n\n<p>Now, we multiply the numerators and the denominators:<br>[<br>\\frac{11 \\times 2}{2 \\times 5} = \\frac{22}{10}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Simplify the Fraction<\/h3>\n\n\n\n<p>Now we simplify (\\frac{22}{10}):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Both the numerator and denominator can be divided by 2:<br>[<br>\\frac{22 \\div 2}{10 \\div 2} = \\frac{11}{5}<br>]<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 6: Convert Back to a Mixed Number<\/h3>\n\n\n\n<p>To convert (\\frac{11}{5}) back to a mixed number:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide 11 by 5, which equals 2 with a remainder of 1.<\/li>\n\n\n\n<li>So, (\\frac{11}{5} = 2 \\frac{1}{5}).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Thus, the answer to (5 \\frac{1}{2} \\div 2 \\frac{1}{2}) is (2 \\frac{1}{5}), which corresponds to option <strong>A<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<p><strong>A. (2 \\frac{1}{5})<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Divide: 5 1\/2 divided by 2 1\/2 = A.2 1\/5 B.2.0 C.21\/2 D.23\/4 The correct answer and Explanation is : To divide the mixed numbers (5 \\frac{1}{2}) and (2 \\frac{1}{2}), we first convert them into improper fractions. Step 1: Convert Mixed Numbers to Improper Fractions For (5 \\frac{1}{2}): For (2 \\frac{1}{2}): Step 2: Set Up [&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-140950","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/140950","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=140950"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/140950\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=140950"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=140950"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=140950"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}