{"id":223532,"date":"2025-06-02T03:42:02","date_gmt":"2025-06-02T03:42:02","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=223532"},"modified":"2025-06-02T03:42:04","modified_gmt":"2025-06-02T03:42:04","slug":"to-the-nearest-10th-of-a-percent-what-is-8-13-written-as-a-percent","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/02\/to-the-nearest-10th-of-a-percent-what-is-8-13-written-as-a-percent\/","title":{"rendered":"To the nearest 10th of a percent what is 8\/13 written as a percent"},"content":{"rendered":"\n<p>To the nearest 10th of a percent what is 8\/13 written as 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-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Answer:<\/strong><br>To the nearest tenth of a percent, <strong>8\/13 is 61.5%<\/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>To convert a fraction to a percent, you multiply the fraction by 100. A percent simply means &#8220;per hundred,&#8221; so you&#8217;re expressing how many parts out of 100 the fraction represents.<\/p>\n\n\n\n<p>Start by dividing 8 by 13: 8\u00f713=0.615384615&#8230;8 \\div 13 = 0.615384615&#8230;<\/p>\n\n\n\n<p>This is a repeating decimal. Now, multiply that result by 100 to convert it to a percent: 0.615384615\u00d7100=61.5384615&#8230;0.615384615 \\times 100 = 61.5384615&#8230;<\/p>\n\n\n\n<p>This gives approximately <strong>61.5384615%<\/strong>. But the question asks for the percent <strong>rounded to the nearest tenth of a percent<\/strong>. The <strong>tenths place<\/strong> is the first digit after the decimal in the percentage \u2014 in this case, it&#8217;s the <strong>5<\/strong> in <strong>61.5<\/strong>.<\/p>\n\n\n\n<p>To round to the nearest tenth, look at the digit <strong>after<\/strong> the tenths place (the hundredths place). That digit is a <strong>3<\/strong> (from 61.53&#8230;), which is <strong>less than 5<\/strong>, so we <strong>do not round up<\/strong>. Therefore, we keep the tenths digit as it is.<\/p>\n\n\n\n<p>Thus, 61.5384615% rounded to the nearest tenth is: 61.5%\\boxed{61.5\\%}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why This Matters:<\/h3>\n\n\n\n<p>Understanding how to convert and round fractions to percentages is a key skill in math, especially in real-world contexts like finance, statistics, and science. Whether you&#8217;re calculating tax, analyzing data, or determining grades, it&#8217;s essential to express ratios and parts as percentages.<\/p>\n\n\n\n<p>Rounding to the nearest tenth of a percent is particularly useful when dealing with precision, such as in reporting scientific data or economic statistics. Being able to accurately express a fraction like 8\/13 as <strong>61.5%<\/strong> helps make numerical information easier to interpret and communicate effectively.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-8.jpeg\" alt=\"\" class=\"wp-image-223533\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>To the nearest 10th of a percent what is 8\/13 written as a percent The Correct Answer and Explanation is: Answer:To the nearest tenth of a percent, 8\/13 is 61.5%. Explanation To convert a fraction to a percent, you multiply the fraction by 100. A percent simply means &#8220;per hundred,&#8221; so you&#8217;re expressing how many [&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-223532","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223532","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=223532"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223532\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=223532"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=223532"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=223532"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}