{"id":162918,"date":"2024-11-07T18:19:47","date_gmt":"2024-11-07T18:19:47","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=162918"},"modified":"2024-11-07T18:19:48","modified_gmt":"2024-11-07T18:19:48","slug":"rename-28-percent-as-a-decimal-and-fraction-in-its-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/07\/rename-28-percent-as-a-decimal-and-fraction-in-its-simplest-form\/","title":{"rendered":"Rename 28 percent as a decimal and fraction in its simplest form"},"content":{"rendered":"\n<p>Rename 28 percent as a decimal and fraction in its simplest 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 convert 28 percent into a decimal and a fraction in its simplest form, let&#8217;s follow the steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. <strong>Convert 28 percent to a decimal<\/strong><\/h3>\n\n\n\n<p>The percentage sign (%) represents &#8220;per hundred,&#8221; so to convert a percentage to a decimal, divide it by 100.<\/p>\n\n\n\n<p>[<br>28\\% = \\frac{28}{100} = 0.28<br>]<\/p>\n\n\n\n<p>So, 28 percent as a decimal is <strong>0.28<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. <strong>Convert 28 percent to a fraction<\/strong><\/h3>\n\n\n\n<p>To convert 28 percent into a fraction, remember that percent means &#8220;per hundred,&#8221; so we express 28 percent as a fraction with 100 in the denominator:<\/p>\n\n\n\n<p>[<br>28\\% = \\frac{28}{100}<br>]<\/p>\n\n\n\n<p>Next, simplify this fraction. To do so, we find the greatest common divisor (GCD) of 28 and 100. The prime factors of 28 are ( 2^2 \\times 7 ), and the prime factors of 100 are ( 2^2 \\times 5^2 ). The greatest common divisor of 28 and 100 is 4. Now, divide both the numerator and denominator by 4:<\/p>\n\n\n\n<p>[<br>\\frac{28}{100} = \\frac{28 \\div 4}{100 \\div 4} = \\frac{7}{25}<br>]<\/p>\n\n\n\n<p>So, 28 percent as a fraction in its simplest form is <strong>(\\frac{7}{25})<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. <strong>Summary<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Decimal:<\/strong> 28 percent as a decimal is <strong>0.28<\/strong>.<\/li>\n\n\n\n<li><strong>Fraction:<\/strong> 28 percent as a fraction in simplest form is <strong>(\\frac{7}{25})<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>When converting percentages, remember that &#8220;percent&#8221; means &#8220;per hundred,&#8221; so you can convert a percentage by dividing the number by 100. In the case of 28 percent, this gives the decimal 0.28. To convert it into a fraction, you can write it as 28\/100, and then simplify it by finding the greatest common divisor (GCD) of 28 and 100. By dividing both the numerator and denominator by 4, you get the fraction (\\frac{7}{25}).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rename 28 percent as a decimal and fraction in its simplest form. The Correct Answer and Explanation is : To convert 28 percent into a decimal and a fraction in its simplest form, let&#8217;s follow the steps: 1. Convert 28 percent to a decimal The percentage sign (%) represents &#8220;per hundred,&#8221; so to convert a [&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-162918","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162918","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=162918"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162918\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162918"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162918"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162918"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}