{"id":243222,"date":"2025-07-04T13:04:43","date_gmt":"2025-07-04T13:04:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=243222"},"modified":"2025-07-04T13:04:45","modified_gmt":"2025-07-04T13:04:45","slug":"find-the-product-of-the-following-fractions","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/find-the-product-of-the-following-fractions\/","title":{"rendered":"Find the product of the following fractions."},"content":{"rendered":"\n<p>Find the product of the following fractions. Express your answer in simplest form. 1. 3\/11 x 4 5\/6 = 2. 3 5\/9 x 5\/8= 3. 4 3\/8 x 8\/17 = 4. 12 2\/5 x 5\/6= 5. 5\/10 x 3 2\/6 = please help me with solution or step by step po..<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Let&#8217;s go through each one step by step.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. 311\u00d7456\\frac{3}{11} \\times 4 \\frac{5}{6}113\u200b\u00d7465\u200b<\/h3>\n\n\n\n<p><strong>Step 1:<\/strong> Convert the mixed number to an improper fraction.<br>456=4\u00d76+56=24+56=2964 \\frac{5}{6} = \\frac{4 \\times 6 + 5}{6} = \\frac{24 + 5}{6} = \\frac{29}{6}465\u200b=64\u00d76+5\u200b=624+5\u200b=629\u200b<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Multiply the fractions.<br>311\u00d7296=3\u00d72911\u00d76=8766\\frac{3}{11} \\times \\frac{29}{6} = \\frac{3 \\times 29}{11 \\times 6} = \\frac{87}{66}113\u200b\u00d7629\u200b=11\u00d763\u00d729\u200b=6687\u200b<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Simplify the fraction.<br>We can divide both the numerator and denominator by 3:<br>87\u00f7366\u00f73=2922\\frac{87 \\div 3}{66 \\div 3} = \\frac{29}{22}66\u00f7387\u00f73\u200b=2229\u200b<\/p>\n\n\n\n<p>So, the answer is 2922\\frac{29}{22}2229\u200b.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. 359\u00d7583 \\frac{5}{9} \\times \\frac{5}{8}395\u200b\u00d785\u200b<\/h3>\n\n\n\n<p><strong>Step 1:<\/strong> Convert the mixed number to an improper fraction.<br>359=3\u00d79+59=27+59=3293 \\frac{5}{9} = \\frac{3 \\times 9 + 5}{9} = \\frac{27 + 5}{9} = \\frac{32}{9}395\u200b=93\u00d79+5\u200b=927+5\u200b=932\u200b<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Multiply the fractions.<br>329\u00d758=32\u00d759\u00d78=16072\\frac{32}{9} \\times \\frac{5}{8} = \\frac{32 \\times 5}{9 \\times 8} = \\frac{160}{72}932\u200b\u00d785\u200b=9\u00d7832\u00d75\u200b=72160\u200b<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Simplify the fraction.<br>We can divide both the numerator and denominator by 8:<br>160\u00f7872\u00f78=209\\frac{160 \\div 8}{72 \\div 8} = \\frac{20}{9}72\u00f78160\u00f78\u200b=920\u200b<\/p>\n\n\n\n<p>So, the answer is 209\\frac{20}{9}920\u200b.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. 438\u00d78174 \\frac{3}{8} \\times \\frac{8}{17}483\u200b\u00d7178\u200b<\/h3>\n\n\n\n<p><strong>Step 1:<\/strong> Convert the mixed number to an improper fraction.<br>438=4\u00d78+38=32+38=3584 \\frac{3}{8} = \\frac{4 \\times 8 + 3}{8} = \\frac{32 + 3}{8} = \\frac{35}{8}483\u200b=84\u00d78+3\u200b=832+3\u200b=835\u200b<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Multiply the fractions.<br>358\u00d7817=35\u00d788\u00d717=280136\\frac{35}{8} \\times \\frac{8}{17} = \\frac{35 \\times 8}{8 \\times 17} = \\frac{280}{136}835\u200b\u00d7178\u200b=8\u00d71735\u00d78\u200b=136280\u200b<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Simplify the fraction.<br>We can divide both the numerator and denominator by 8:<br>280\u00f78136\u00f78=3517\\frac{280 \\div 8}{136 \\div 8} = \\frac{35}{17}136\u00f78280\u00f78\u200b=1735\u200b<\/p>\n\n\n\n<p>So, the answer is 3517\\frac{35}{17}1735\u200b.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4. 1225\u00d75612 \\frac{2}{5} \\times \\frac{5}{6}1252\u200b\u00d765\u200b<\/h3>\n\n\n\n<p><strong>Step 1:<\/strong> Convert the mixed number to an improper fraction.<br>1225=12\u00d75+25=60+25=62512 \\frac{2}{5} = \\frac{12 \\times 5 + 2}{5} = \\frac{60 + 2}{5} = \\frac{62}{5}1252\u200b=512\u00d75+2\u200b=560+2\u200b=562\u200b<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Multiply the fractions.<br>625\u00d756=62\u00d755\u00d76=31030\\frac{62}{5} \\times \\frac{5}{6} = \\frac{62 \\times 5}{5 \\times 6} = \\frac{310}{30}562\u200b\u00d765\u200b=5\u00d7662\u00d75\u200b=30310\u200b<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Simplify the fraction.<br>We can divide both the numerator and denominator by 10:<br>310\u00f71030\u00f710=313\\frac{310 \\div 10}{30 \\div 10} = \\frac{31}{3}30\u00f710310\u00f710\u200b=331\u200b<\/p>\n\n\n\n<p>So, the answer is 313\\frac{31}{3}331\u200b.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5. 510\u00d7326\\frac{5}{10} \\times 3 \\frac{2}{6}105\u200b\u00d7362\u200b<\/h3>\n\n\n\n<p><strong>Step 1:<\/strong> Convert the mixed number to an improper fraction.<br>326=3\u00d76+26=18+26=2063 \\frac{2}{6} = \\frac{3 \\times 6 + 2}{6} = \\frac{18 + 2}{6} = \\frac{20}{6}362\u200b=63\u00d76+2\u200b=618+2\u200b=620\u200b<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Multiply the fractions.<br>510\u00d7206=5\u00d72010\u00d76=10060\\frac{5}{10} \\times \\frac{20}{6} = \\frac{5 \\times 20}{10 \\times 6} = \\frac{100}{60}105\u200b\u00d7620\u200b=10\u00d765\u00d720\u200b=60100\u200b<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Simplify the fraction.<br>We can divide both the numerator and denominator by 20:<br>100\u00f72060\u00f720=53\\frac{100 \\div 20}{60 \\div 20} = \\frac{5}{3}60\u00f720100\u00f720\u200b=35\u200b<\/p>\n\n\n\n<p>So, the answer is 53\\frac{5}{3}35\u200b.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary of Answers:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>2922\\frac{29}{22}2229\u200b<\/li>\n\n\n\n<li>209\\frac{20}{9}920\u200b<\/li>\n\n\n\n<li>3517\\frac{35}{17}1735\u200b<\/li>\n\n\n\n<li>313\\frac{31}{3}331\u200b<\/li>\n\n\n\n<li>53\\frac{5}{3}35\u200b<\/li>\n<\/ol>\n\n\n\n<p>By following these steps, you can multiply fractions and simplify your answers!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-311.jpeg\" alt=\"\" class=\"wp-image-243223\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find the product of the following fractions. Express your answer in simplest form. 1. 3\/11 x 4 5\/6 = 2. 3 5\/9 x 5\/8= 3. 4 3\/8 x 8\/17 = 4. 12 2\/5 x 5\/6= 5. 5\/10 x 3 2\/6 = please help me with solution or step by step po.. The Correct Answer and [&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-243222","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243222","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=243222"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243222\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=243222"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=243222"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=243222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}