{"id":216795,"date":"2025-05-20T11:46:46","date_gmt":"2025-05-20T11:46:46","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=216795"},"modified":"2025-05-20T11:46:48","modified_gmt":"2025-05-20T11:46:48","slug":"convert-71-2-3-to-a-fraction-in-lowest-terms","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/20\/convert-71-2-3-to-a-fraction-in-lowest-terms\/","title":{"rendered":"Convert 71 2\/3 % to a fraction in lowest terms."},"content":{"rendered":"\n<p>Convert 71 2\/3 % to a fraction in lowest terms.<\/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>To convert <strong>71 2\/3%<\/strong> to a fraction in lowest terms:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Correct Answer:<\/strong><\/h3>\n\n\n\n<p>4360\\boxed{\\frac{43}{60}}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Detailed Explanation (300+ words):<\/strong><\/h3>\n\n\n\n<p>Converting a <strong>percent<\/strong> to a <strong>fraction in lowest terms<\/strong> involves a few systematic steps. Let&#8217;s walk through them carefully using <strong>71 2\/3%<\/strong> as an example.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Convert the mixed number percent to an improper fraction<\/strong><\/h3>\n\n\n\n<p>The percentage given is a <strong>mixed number<\/strong>: 7123%71 \\frac{2}{3}\\%<\/p>\n\n\n\n<p>First, convert this mixed number to an improper fraction.<\/p>\n\n\n\n<p>To do that, multiply the <strong>whole number part (71)<\/strong> by the denominator of the fractional part (3) and then add the numerator: 71\u00d73=213213+2=21571 \\times 3 = 213 \\\\ 213 + 2 = 215<\/p>\n\n\n\n<p>So: 7123=215371 \\frac{2}{3} = \\frac{215}{3}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Convert the percent to a fraction<\/strong><\/h3>\n\n\n\n<p>Remember that percent means <strong>&#8220;per hundred&#8221;<\/strong>, so we divide the number by 100: 2153\u00f7100=2153\u00d71100=215300\\frac{215}{3} \\div 100 = \\frac{215}{3} \\times \\frac{1}{100} = \\frac{215}{300}<\/p>\n\n\n\n<p>Now we simplify the fraction 215300\\frac{215}{300}.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Simplify the fraction<\/strong><\/h3>\n\n\n\n<p>To reduce 215300\\frac{215}{300}, we find the <strong>greatest common divisor (GCD)<\/strong> of the numerator and denominator.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Prime factorization of 215: 215=5\u00d743215 = 5 \\times 43<\/li>\n\n\n\n<li>Prime factorization of 300: 300=22\u00d73\u00d752300 = 2^2 \\times 3 \\times 5^2<\/li>\n<\/ul>\n\n\n\n<p>The common factor is 5.<\/p>\n\n\n\n<p>Divide both numerator and denominator by 5: 215\u00f75300\u00f75=4360\\frac{215 \\div 5}{300 \\div 5} = \\frac{43}{60}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Final Answer:<\/strong><\/h3>\n\n\n\n<p>4360\\boxed{\\frac{43}{60}}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Conclusion:<\/strong><\/h3>\n\n\n\n<p>So, <strong>71 2\/3%<\/strong> as a fraction in lowest terms is <strong>4360\\frac{43}{60}<\/strong>. This process involved converting a mixed number to an improper fraction, interpreting percent as a fraction over 100, multiplying, and simplifying using the GCD. Understanding these steps not only helps with this question but also builds a strong foundation for converting percentages in general.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert 71 2\/3 % to a fraction in lowest terms. The Correct Answer and Explanation is: To convert 71 2\/3% to a fraction in lowest terms: Correct Answer: 4360\\boxed{\\frac{43}{60}} Detailed Explanation (300+ words): Converting a percent to a fraction in lowest terms involves a few systematic steps. Let&#8217;s walk through them carefully using 71 2\/3% [&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-216795","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/216795","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=216795"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/216795\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=216795"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=216795"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=216795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}