{"id":162700,"date":"2024-11-07T07:59:46","date_gmt":"2024-11-07T07:59:46","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=162700"},"modified":"2024-11-07T07:59:49","modified_gmt":"2024-11-07T07:59:49","slug":"when-expressed-as-a-mixed-number-or-fraction-0-0075-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/07\/when-expressed-as-a-mixed-number-or-fraction-0-0075-is\/","title":{"rendered":"When expressed as a mixed number or fraction, 0.0075 is"},"content":{"rendered":"\n<p>When expressed as a mixed number or fraction, 0.0075 is<\/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 express 0.0075 as a mixed number or fraction, we can follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understanding the Decimal Value<\/h3>\n\n\n\n<p>The number 0.0075 represents a decimal where the digits are to the right of the decimal point. The value of 0.0075 can be broken down into a fraction by considering the place value of the digits:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The first digit after the decimal point (0) is in the tenths place.<\/li>\n\n\n\n<li>The second digit (0) is in the hundredths place.<\/li>\n\n\n\n<li>The third digit (7) is in the thousandths place.<\/li>\n\n\n\n<li>The fourth digit (5) is in the ten-thousandths place.<\/li>\n<\/ul>\n\n\n\n<p>Thus, 0.0075 is the same as <strong>75 ten-thousandths<\/strong>, or <strong>75\/10,000<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Simplifying the Fraction<\/h3>\n\n\n\n<p>Now, we need to simplify the fraction <strong>75\/10,000<\/strong>. To do this, we find the greatest common divisor (GCD) of 75 and 10,000.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The factors of 75 are 1, 3, 5, 15, 25, 75.<\/li>\n\n\n\n<li>The factors of 10,000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 800, 1,000, 2,000, 5,000, 10,000.<\/li>\n<\/ul>\n\n\n\n<p>The GCD of 75 and 10,000 is 25. We divide both the numerator and the denominator of the fraction by 25:<\/p>\n\n\n\n<p>[<br>\\frac{75 \\div 25}{10,000 \\div 25} = \\frac{3}{400}<br>]<\/p>\n\n\n\n<p>Thus, the fraction <strong>75\/10,000<\/strong> simplifies to <strong>3\/400<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Converting to a Mixed Number<\/h3>\n\n\n\n<p>Since the value is less than 1, <strong>3\/400<\/strong> cannot be converted into a mixed number (which would require the fraction to be greater than 1). Therefore, the simplest fractional representation of 0.0075 is <strong>3\/400<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>0.0075 as a fraction is <strong>3\/400<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When expressed as a mixed number or fraction, 0.0075 is The Correct Answer and Explanation is: To express 0.0075 as a mixed number or fraction, we can follow these steps: Step 1: Understanding the Decimal Value The number 0.0075 represents a decimal where the digits are to the right of the decimal point. The value [&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-162700","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162700","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=162700"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162700\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162700"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162700"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162700"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}