{"id":237546,"date":"2025-06-17T10:09:43","date_gmt":"2025-06-17T10:09:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=237546"},"modified":"2025-06-17T10:09:46","modified_gmt":"2025-06-17T10:09:46","slug":"divide-the-sum-of-3-11-and-2-5-by-their-product","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/17\/divide-the-sum-of-3-11-and-2-5-by-their-product\/","title":{"rendered":"Divide the sum of 3\/11 and 2\/5 by their product"},"content":{"rendered":"\n
Divide the sum of 3\/11 and 2\/5 by their product<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
\u200b <\/p>\n\n\n\n
To solve the problem, follow these steps:<\/p>\n\n\n\n
\n\n\n\n
Step 1: Add the fractions 311\\frac{3}{11}113\u200b and 25\\frac{2}{5}52\u200b<\/strong><\/h3>\n\n\n\n
To add fractions, find a common denominator. The least common denominator (LCD) of 11 and 5 is 55.311=3\u00d7511\u00d75=1555\\frac{3}{11} = \\frac{3 \\times 5}{11 \\times 5} = \\frac{15}{55}113\u200b=11\u00d753\u00d75\u200b=5515\u200b25=2\u00d7115\u00d711=2255\\frac{2}{5} = \\frac{2 \\times 11}{5 \\times 11} = \\frac{22}{55}52\u200b=5\u00d7112\u00d711\u200b=5522\u200b<\/p>\n\n\n\n
Now add them:1555+2255=3755\\frac{15}{55} + \\frac{22}{55} = \\frac{37}{55}5515\u200b+5522\u200b=5537\u200b<\/p>\n\n\n\n
\n\n\n\n
Step 2: Multiply the fractions 311\u00d725\\frac{3}{11} \\times \\frac{2}{5}113\u200b\u00d752\u200b<\/strong><\/h3>\n\n\n\n
Multiply the numerators and then the denominators:311\u00d725=3\u00d7211\u00d75=655\\frac{3}{11} \\times \\frac{2}{5} = \\frac{3 \\times 2}{11 \\times 5} = \\frac{6}{55}113\u200b\u00d752\u200b=11\u00d753\u00d72\u200b=556\u200b<\/p>\n\n\n\n
\n\n\n\n
Step 3: Divide the sum by the product<\/strong><\/h3>\n\n\n\n
We now divide:3755655\\frac{\\frac{37}{55}}{\\frac{6}{55}}556\u200b5537\u200b\u200b<\/p>\n\n\n\n
When dividing fractions, multiply by the reciprocal of the divisor:3755\u00f7655=3755\u00d7556\\frac{37}{55} \\div \\frac{6}{55} = \\frac{37}{55} \\times \\frac{55}{6}5537\u200b\u00f7556\u200b=5537\u200b\u00d7655\u200b<\/p>\n\n\n\n
Now cancel the 55 from numerator and denominator:=3755556=376= \\frac{37 \\cancel{55}}{\\cancel{55} 6} = \\frac{37}{6}=5563755\u200b=637\u200b<\/p>\n\n\n\n
To solve this problem, we are asked to divide the sum of two fractions by their product. We begin by adding 311\\frac{3}{11}113\u200b and 25\\frac{2}{5}52\u200b. Since the denominators are different, we must find a common denominator. The smallest number that both 11 and 5 divide into is 55. We convert each fraction so they have this common denominator, turning 311\\frac{3}{11}113\u200b into 1555\\frac{15}{55}5515\u200b and 25\\frac{2}{5}52\u200b into 2255\\frac{22}{55}5522\u200b. Adding these gives 3755\\frac{37}{55}5537\u200b.<\/p>\n\n\n\n
Next, we compute the product of the same two fractions. To multiply, we multiply the numerators together (3 times 2 equals 6) and the denominators together (11 times 5 equals 55), resulting in 655\\frac{6}{55}556\u200b.<\/p>\n\n\n\n
Now, we divide the sum 3755\\frac{37}{55}5537\u200b by the product 655\\frac{6}{55}556\u200b. When dividing fractions, we multiply the first fraction by the reciprocal of the second. The reciprocal of 655\\frac{6}{55}556\u200b is 556\\frac{55}{6}655\u200b. Multiplying 3755\\frac{37}{55}5537\u200b by 556\\frac{55}{6}655\u200b allows the 55 to cancel out, simplifying the expression to 376\\frac{37}{6}637\u200b.<\/p>\n\n\n\n
The final answer, expressed as an improper fraction, is 376\\frac{37}{6}637\u200b. This value represents how many times the product of the two original fractions fits into their sum.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
Divide the sum of 3\/11 and 2\/5 by their product The Correct Answer and Explanation is: \u200b To solve the problem, follow these steps: Step 1: Add the fractions 311\\frac{3}{11}113\u200b and 25\\frac{2}{5}52\u200b To add fractions, find a common denominator. The least common denominator (LCD) of 11 and 5 is 55.311=3\u00d7511\u00d75=1555\\frac{3}{11} = \\frac{3 \\times 5}{11 \\times […]<\/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-237546","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237546","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=237546"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237546\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=237546"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=237546"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=237546"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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