{"id":134476,"date":"2024-09-01T16:57:54","date_gmt":"2024-09-01T16:57:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=134476"},"modified":"2024-09-01T16:57:56","modified_gmt":"2024-09-01T16:57:56","slug":"multiply-1-2-x-1-3-5-x-2-7-9","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/01\/multiply-1-2-x-1-3-5-x-2-7-9\/","title":{"rendered":"Multiply: 1\/2 x 1 3\/5 x 2 7\/9="},"content":{"rendered":"\n<p>Multiply: 1\/2 x 1 3\/5 x 2 7\/9=<\/p>\n\n\n\n<p>A.<br>2 2\/9<\/p>\n\n\n\n<p>B.<br>20\/9<\/p>\n\n\n\n<p>C.<br>3 11\/16<\/p>\n\n\n\n<p>D.<br>2 21\/90<\/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>o solve the multiplication problem 12\u00d7135\u00d7279\\frac{1}{2} \\times 1 \\frac{3}{5} \\times 2 \\frac{7}{9}21\u200b\u00d7153\u200b\u00d7297\u200b, we will follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Convert Mixed Numbers to Improper Fractions:<\/strong>\n<ul class=\"wp-block-list\">\n<li>For 1351 \\frac{3}{5}153\u200b:\n<ul class=\"wp-block-list\">\n<li>Multiply the whole number 111 by the denominator 555 and add the numerator 333: 1\u00d75+3=81 \\times 5 + 3 = 81\u00d75+3=8.<\/li>\n\n\n\n<li>So, 135=851 \\frac{3}{5} = \\frac{8}{5}153\u200b=58\u200b.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>For 2792 \\frac{7}{9}297\u200b:\n<ul class=\"wp-block-list\">\n<li>Multiply the whole number 222 by the denominator 999 and add the numerator 777: 2\u00d79+7=252 \\times 9 + 7 = 252\u00d79+7=25.<\/li>\n\n\n\n<li>So, 279=2592 \\frac{7}{9} = \\frac{25}{9}297\u200b=925\u200b.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Multiply the Fractions:<\/strong>First, convert all mixed numbers into improper fractions:<ul><li>12\\frac{1}{2}21\u200b<\/li><li>85\\frac{8}{5}58\u200b<\/li><li>259\\frac{25}{9}925\u200b<\/li><\/ul>Now, multiply these fractions together:12\u00d785\u00d7259\\frac{1}{2} \\times \\frac{8}{5} \\times \\frac{25}{9}21\u200b\u00d758\u200b\u00d7925\u200bTo multiply fractions, multiply the numerators together and the denominators together:<ul><li>Numerators: 1\u00d78\u00d725=2001 \\times 8 \\times 25 = 2001\u00d78\u00d725=200<\/li><li>Denominators: 2\u00d75\u00d79=902 \\times 5 \\times 9 = 902\u00d75\u00d79=90<\/li><\/ul>So,20090\\frac{200}{90}90200\u200b<\/li>\n\n\n\n<li><strong>Simplify the Result:<\/strong>Simplify 20090\\frac{200}{90}90200\u200b by dividing both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 200 and 90 is 10:200\u00f71090\u00f710=209\\frac{200 \\div 10}{90 \\div 10} = \\frac{20}{9}90\u00f710200\u00f710\u200b=920\u200b<\/li>\n\n\n\n<li><strong>Convert the Improper Fraction to a Mixed Number (if desired):<\/strong>209\\frac{20}{9}920\u200b as a mixed number is 2292 \\frac{2}{9}292\u200b:\n<ul class=\"wp-block-list\">\n<li>Divide 20 by 9 to get 2 with a remainder of 2.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>Thus, the correct answer is <strong>B. 209\\frac{20}{9}920\u200b<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Multiply: 1\/2 x 1 3\/5 x 2 7\/9= A.2 2\/9 B.20\/9 C.3 11\/16 D.2 21\/90 The Correct answer and Explanation is: o solve the multiplication problem 12\u00d7135\u00d7279\\frac{1}{2} \\times 1 \\frac{3}{5} \\times 2 \\frac{7}{9}21\u200b\u00d7153\u200b\u00d7297\u200b, we will follow these steps: Thus, the correct answer is B. 209\\frac{20}{9}920\u200b.<\/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 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