{"id":162660,"date":"2024-11-07T07:23:38","date_gmt":"2024-11-07T07:23:38","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=162660"},"modified":"2024-11-07T07:23:42","modified_gmt":"2024-11-07T07:23:42","slug":"rewrite-9-11-30-as-a-decimal-and-as-a-percent","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/07\/rewrite-9-11-30-as-a-decimal-and-as-a-percent\/","title":{"rendered":"Rewrite 9 11\/30 as a decimal and as a percent"},"content":{"rendered":"\n<p>Rewrite 9 11\/30 as a decimal and 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-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To rewrite <strong>9 11\/30<\/strong> as a decimal and a percentage, we will break it down into steps and explain each part of the 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>First, we need to convert the mixed fraction ( 9 \\frac{11}{30} ) to an improper fraction. A mixed fraction consists of a whole number and a fraction. To convert it to an improper fraction, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Multiply the whole number (9) by the denominator of the fraction (30).<\/li>\n\n\n\n<li>Add the numerator of the fraction (11) to the result from step 1.<\/li>\n<\/ol>\n\n\n\n<p>[<br>9 \\times 30 = 270<br>]<\/p>\n\n\n\n<p>[<br>270 + 11 = 281<br>]<\/p>\n\n\n\n<p>So, the improper fraction equivalent of ( 9 \\frac{11}{30} ) is ( \\frac{281}{30} ).<\/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 that we have the improper fraction ( \\frac{281}{30} ), we can convert it to a decimal by dividing the numerator (281) by the denominator (30):<\/p>\n\n\n\n<p>[<br>\\frac{281}{30} = 9.3666\\ldots<br>]<\/p>\n\n\n\n<p>This result is a repeating decimal. We can round it to two decimal places for simplicity:<\/p>\n\n\n\n<p>[<br>9.37<br>]<\/p>\n\n\n\n<p>Thus, <strong>9 11\/30<\/strong> is approximately <strong>9.37<\/strong> when written as a decimal.<\/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, multiply the decimal by 100. This shifts the decimal point two places to the right and adds a percentage sign:<\/p>\n\n\n\n<p>[<br>9.37 \\times 100 = 937\\%<br>]<\/p>\n\n\n\n<p>Thus, <strong>9 11\/30<\/strong> as a percentage is <strong>937%<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>As a decimal: <strong>9.37<\/strong><\/li>\n\n\n\n<li>As a percentage: <strong>937%<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The process of converting a mixed fraction to a decimal involves converting the fraction into an improper fraction and then dividing. For percentages, we multiply the decimal form by 100 to shift the decimal point and add a percent sign. The conversion is essential in many fields, including finance, education, and statistics, as it allows for a clearer understanding of proportional relationships and comparisons.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rewrite 9 11\/30 as a decimal and as a percent The Correct Answer and Explanation is: To rewrite 9 11\/30 as a decimal and a percentage, we will break it down into steps and explain each part of the process. Step 1: Convert the Mixed Fraction to an Improper Fraction First, we need to convert [&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-162660","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162660","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=162660"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162660\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162660"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162660"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162660"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}