{"id":169474,"date":"2024-11-19T09:22:32","date_gmt":"2024-11-19T09:22:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=169474"},"modified":"2024-11-19T09:22:35","modified_gmt":"2024-11-19T09:22:35","slug":"7-8-divided-by-7-16-reduce-your-answer-to-the-lowest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/19\/7-8-divided-by-7-16-reduce-your-answer-to-the-lowest-form\/","title":{"rendered":"7\/8 divided by 7\/16 reduce your answer to the Lowest form"},"content":{"rendered":"\n<p>7\/8 divided by 7\/16 reduce your answer to the Lowest form<\/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 solve ( \\frac{7}{8} \\div \\frac{7}{16} ) and reduce the answer to its lowest terms, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert Division to Multiplication<\/h3>\n\n\n\n<p>When dividing by a fraction, you multiply by the reciprocal (the flipped version) of the second fraction. The reciprocal of ( \\frac{7}{16} ) is ( \\frac{16}{7} ).<\/p>\n\n\n\n<p>So, the expression becomes:<br>[<br>\\frac{7}{8} \\div \\frac{7}{16} = \\frac{7}{8} \\times \\frac{16}{7}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Multiply the Numerators and Denominators<\/h3>\n\n\n\n<p>Now multiply the numerators (top numbers) and denominators (bottom numbers):<br>[<br>\\frac{7 \\times 16}{8 \\times 7} = \\frac{112}{56}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplify the Fraction<\/h3>\n\n\n\n<p>Next, simplify the fraction ( \\frac{112}{56} ). You can do this by finding the greatest common divisor (GCD) of 112 and 56, which is 56.<\/p>\n\n\n\n<p>Divide both the numerator and the denominator by 56:<br>[<br>\\frac{112 \\div 56}{56 \\div 56} = \\frac{2}{1}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>[<br>\\frac{7}{8} \\div \\frac{7}{16} = \\frac{2}{1} = 2<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Division by a fraction is converted into multiplication by its reciprocal. This is a key property of fractions, which allows for easier manipulation.<\/li>\n\n\n\n<li>The multiplication of the fractions ( \\frac{7}{8} \\times \\frac{16}{7} ) results in ( \\frac{7 \\times 16}{8 \\times 7} ), where the 7&#8217;s cancel out, simplifying the expression to ( \\frac{16}{8} ).<\/li>\n\n\n\n<li>After simplifying ( \\frac{16}{8} ), you get 2, which is the final result.<\/li>\n<\/ul>\n\n\n\n<p>This process shows how understanding the concept of multiplying by the reciprocal and simplifying fractions leads to the correct and simplified answer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>7\/8 divided by 7\/16 reduce your answer to the Lowest form The Correct Answer and Explanation is : To solve ( \\frac{7}{8} \\div \\frac{7}{16} ) and reduce the answer to its lowest terms, follow these steps: Step 1: Convert Division to Multiplication When dividing by a fraction, you multiply by the reciprocal (the flipped version) [&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 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