{"id":138812,"date":"2024-09-16T09:12:21","date_gmt":"2024-09-16T09:12:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=138812"},"modified":"2024-09-16T09:12:23","modified_gmt":"2024-09-16T09:12:23","slug":"subtract","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/16\/subtract\/","title":{"rendered":"Subtract"},"content":{"rendered":"\n<p>Subtract: 7 7\/10-3 4\/5 =<\/p>\n\n\n\n<p>A.<br>4 3\/5<\/p>\n\n\n\n<p>B.<br>4 1\/10<\/p>\n\n\n\n<p>C.<br>3 9\/10<\/p>\n\n\n\n<p>D.<br>11 5\/10<\/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 the subtraction (7 \\frac{7}{10} &#8211; 3 \\frac{4}{5}), follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Convert Mixed Numbers to Improper Fractions<\/strong>: For (7 \\frac{7}{10}):<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The whole number part is 7, and the fraction part is (\\frac{7}{10}).<\/li>\n\n\n\n<li>Convert to an improper fraction:<br>[<br>7 \\frac{7}{10} = 7 + \\frac{7}{10} = \\frac{70}{10} + \\frac{7}{10} = \\frac{77}{10}<br>] For (3 \\frac{4}{5}):<\/li>\n\n\n\n<li>The whole number part is 3, and the fraction part is (\\frac{4}{5}).<\/li>\n\n\n\n<li>Convert to an improper fraction:<br>[<br>3 \\frac{4}{5} = 3 + \\frac{4}{5} = \\frac{15}{5} + \\frac{4}{5} = \\frac{19}{5}<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Find a Common Denominator<\/strong>: The denominators are 10 and 5. The least common multiple of 10 and 5 is 10. Convert (\\frac{19}{5}) to have this denominator:<br>[<br>\\frac{19}{5} = \\frac{19 \\times 2}{5 \\times 2} = \\frac{38}{10}<br>]<\/li>\n\n\n\n<li><strong>Subtract the Fractions<\/strong>: Subtract (\\frac{38}{10}) from (\\frac{77}{10}):<br>[<br>\\frac{77}{10} &#8211; \\frac{38}{10} = \\frac{77 &#8211; 38}{10} = \\frac{39}{10}<br>]<\/li>\n\n\n\n<li><strong>Convert the Result to a Mixed Number<\/strong>: Divide 39 by 10:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>39 divided by 10 gives 3 with a remainder of 9.<\/li>\n\n\n\n<li>Thus, (\\frac{39}{10} = 3 \\frac{9}{10}).<\/li>\n<\/ul>\n\n\n\n<p>So the result of (7 \\frac{7}{10} &#8211; 3 \\frac{4}{5}) is (3 \\frac{9}{10}), which corresponds to option <strong>C<\/strong>.<\/p>\n\n\n\n<p><strong>Explanation<\/strong>:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Conversion<\/strong>: We first converted mixed numbers to improper fractions to make subtraction straightforward.<\/li>\n\n\n\n<li><strong>Common Denominator<\/strong>: We found a common denominator to perform the subtraction easily.<\/li>\n\n\n\n<li><strong>Subtraction<\/strong>: We performed the subtraction operation on the numerators and maintained the common denominator.<\/li>\n\n\n\n<li><strong>Conversion Back<\/strong>: Finally, we converted the improper fraction result back to a mixed number for clarity.<\/li>\n<\/ol>\n\n\n\n<p>This approach ensures accuracy and clarity in handling fraction operations, providing a step-by-step solution for mixed number subtraction.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subtract: 7 7\/10-3 4\/5 = A.4 3\/5 B.4 1\/10 C.3 9\/10 D.11 5\/10 The correct answer and Explanation is : To solve the subtraction (7 \\frac{7}{10} &#8211; 3 \\frac{4}{5}), follow these steps: So the result of (7 \\frac{7}{10} &#8211; 3 \\frac{4}{5}) is (3 \\frac{9}{10}), which corresponds to option C. Explanation: This approach ensures accuracy 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-138812","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/138812","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=138812"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/138812\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=138812"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=138812"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=138812"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}