{"id":167582,"date":"2024-11-15T20:18:34","date_gmt":"2024-11-15T20:18:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167582"},"modified":"2024-11-15T20:18:36","modified_gmt":"2024-11-15T20:18:36","slug":"change-the-mixed-fraction-1-1-5-to-a-percent","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/15\/change-the-mixed-fraction-1-1-5-to-a-percent\/","title":{"rendered":"Change the mixed fraction 1 1\/5 to a percent"},"content":{"rendered":"\n<p>Change the mixed fraction 1 1\/5 to a percent<\/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 convert the mixed fraction (1 \\frac{1}{5}) to a percentage:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Convert the mixed fraction to an improper fraction:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(1 \\frac{1}{5} = \\frac{6}{5}).<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Convert the improper fraction to a decimal:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide the numerator (6) by the denominator (5):<br>(6 \\div 5 = 1.2).<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Convert the decimal to a percentage:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply the decimal by 100:<br>(1.2 \\times 100 = 120\\%).<\/li>\n<\/ul>\n\n\n\n<p>Thus, (1 \\frac{1}{5}) is equal to <strong>120%<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Percentages are a way of expressing a number as a fraction of 100. The steps to convert a mixed fraction to a percentage involve three main conversions:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Mixed Fraction to Improper Fraction<\/h4>\n\n\n\n<p>A mixed fraction consists of a whole number and a proper fraction. To simplify calculations, it\u2019s converted to an improper fraction. For (1 \\frac{1}{5}):<br>[<br>1 + \\frac{1}{5} = \\frac{5}{5} + \\frac{1}{5} = \\frac{6}{5}.<br>]<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Improper Fraction to Decimal<\/h4>\n\n\n\n<p>Fractions are converted to decimals by dividing the numerator by the denominator. Dividing 6 by 5 gives:<br>[<br>6 \\div 5 = 1.2.<br>]<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 3: Decimal to Percentage<\/h4>\n\n\n\n<p>To express a decimal as a percentage, multiply it by 100. Since percentages are fractions out of 100, this operation scales the decimal appropriately:<br>[<br>1.2 \\times 100 = 120\\%.<br>]<\/p>\n\n\n\n<p>This process works for any fraction or mixed number. In real-life scenarios, percentages are often used to express proportions, growth rates, or comparisons, making it essential to understand these conversions. For instance, (1 \\frac{1}{5}) or 120% could represent a 20% increase beyond a whole unit.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Change the mixed fraction 1 1\/5 to a percent The Correct Answer and Explanation is : To convert the mixed fraction (1 \\frac{1}{5}) to a percentage: Thus, (1 \\frac{1}{5}) is equal to 120%. Explanation: Percentages are a way of expressing a number as a fraction of 100. The steps to convert a mixed fraction to [&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-167582","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167582","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=167582"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167582\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167582"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167582"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167582"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}