{"id":167404,"date":"2024-11-15T17:13:27","date_gmt":"2024-11-15T17:13:27","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167404"},"modified":"2024-11-15T17:13:29","modified_gmt":"2024-11-15T17:13:29","slug":"change-the-mixed-fraction-6-5-8-to-a-percent","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/15\/change-the-mixed-fraction-6-5-8-to-a-percent\/","title":{"rendered":"Change the mixed fraction 6 5\/8 to a percent"},"content":{"rendered":"\n<p>Change the mixed fraction 6 5\/8 to a percent<\/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>To convert the mixed fraction ( 6 \\frac{5}{8} ) into a percentage, we can follow a step-by-step process:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert the mixed fraction to an improper fraction.<\/h3>\n\n\n\n<p>A mixed fraction consists of a whole number and a fraction. The whole number is ( 6 ), and the fraction is ( \\frac{5}{8} ).<\/p>\n\n\n\n<p>To convert this into an improper fraction, we multiply the whole number by the denominator of the fraction and then add the numerator. Here&#8217;s the calculation:<\/p>\n\n\n\n<p>[<br>6 \\frac{5}{8} = \\frac{(6 \\times 8) + 5}{8} = \\frac{48 + 5}{8} = \\frac{53}{8}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Convert the improper fraction to a decimal.<\/h3>\n\n\n\n<p>Now, we divide the numerator ( 53 ) by the denominator ( 8 ) to obtain the decimal equivalent:<\/p>\n\n\n\n<p>[<br>\\frac{53}{8} = 6.625<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Convert the decimal to a percentage.<\/h3>\n\n\n\n<p>To convert a decimal to a percentage, we multiply the decimal by 100:<\/p>\n\n\n\n<p>[<br>6.625 \\times 100 = 662.5<br>]<\/p>\n\n\n\n<p>Thus, the mixed fraction ( 6 \\frac{5}{8} ) is equivalent to <strong>662.5%<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>A mixed fraction consists of a whole number and a fraction. In this case, ( 6 \\frac{5}{8} ) combines the whole number 6 with the fraction ( \\frac{5}{8} ). The first step in converting to a percentage is to eliminate the mixed fraction by converting it into an improper fraction. The improper fraction ( \\frac{53}{8} ) represents the same value as ( 6 \\frac{5}{8} ).<\/p>\n\n\n\n<p>Next, converting this improper fraction to a decimal involves dividing the numerator (53) by the denominator (8), which results in 6.625. Finally, multiplying the decimal by 100 converts it into a percentage. The final result is 662.5%.<\/p>\n\n\n\n<p>This process demonstrates how a mixed fraction can be transformed into a decimal and then into a percentage, allowing you to express the value in a different format. Understanding these steps is important for working with fractions and percentages in both academic and real-life situations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Change the mixed fraction 6 5\/8 to a percent The Correct Answer and Explanation is: To convert the mixed fraction ( 6 \\frac{5}{8} ) into a percentage, we can follow a step-by-step process: Step 1: Convert the mixed fraction to an improper fraction. A mixed fraction consists of a whole number and a fraction. The [&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-167404","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167404","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=167404"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167404\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167404"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167404"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167404"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}