{"id":170655,"date":"2024-11-19T22:04:07","date_gmt":"2024-11-19T22:04:07","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=170655"},"modified":"2024-11-19T22:04:10","modified_gmt":"2024-11-19T22:04:10","slug":"1-3125-as-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/19\/1-3125-as-a-fraction-in-simplest-form\/","title":{"rendered":"-1.3125 as a fraction in simplest form"},"content":{"rendered":"\n<p>-1.3125 as a fraction in simplest form<\/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 convert the decimal -1.3125 to a fraction in simplest form, let&#8217;s follow a step-by-step approach.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand the decimal place value<\/h3>\n\n\n\n<p>The decimal -1.3125 has four digits after the decimal point. This means it can be expressed as:<\/p>\n\n\n\n<p>[<br>-1.3125 = -\\frac{13125}{10000}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Simplify the fraction<\/h3>\n\n\n\n<p>To simplify this fraction, we need to find the greatest common divisor (GCD) of the numerator (13125) and the denominator (10000). The GCD of 13125 and 10000 is 125.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Divide both the numerator and denominator by the GCD<\/h3>\n\n\n\n<p>Now, divide both the numerator and the denominator by their GCD, which is 125:<\/p>\n\n\n\n<p>[<br>\\frac{13125 \\div 125}{10000 \\div 125} = \\frac{105}{80}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Simplify further<\/h3>\n\n\n\n<p>The fraction (\\frac{105}{80}) can be simplified further. The GCD of 105 and 80 is 5, so we divide both the numerator and denominator by 5:<\/p>\n\n\n\n<p>[<br>\\frac{105 \\div 5}{80 \\div 5} = \\frac{21}{16}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>Thus, the decimal -1.3125 as a fraction in simplest form is:<\/p>\n\n\n\n<p>[<br>-1.3125 = -\\frac{21}{16}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>We begin by expressing the decimal -1.3125 as a fraction: (-\\frac{13125}{10000}).<\/li>\n\n\n\n<li>The next step is to simplify the fraction. This involves finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 13125 and 10000 is 125.<\/li>\n\n\n\n<li>Dividing both the numerator and the denominator by 125 simplifies the fraction to (\\frac{105}{80}).<\/li>\n\n\n\n<li>The final simplification comes by dividing both 105 and 80 by their GCD, which is 5, yielding the fraction (\\frac{21}{16}).<\/li>\n\n\n\n<li>Since the original decimal was negative, the final fraction is negative as well: (-\\frac{21}{16}).<\/li>\n<\/ol>\n\n\n\n<p>This is the simplest form of the fraction representation for the decimal -1.3125.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>-1.3125 as a fraction in simplest form The Correct Answer and Explanation is: To convert the decimal -1.3125 to a fraction in simplest form, let&#8217;s follow a step-by-step approach. Step 1: Understand the decimal place value The decimal -1.3125 has four digits after the decimal point. This means it can be expressed as: [-1.3125 = [&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-170655","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/170655","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=170655"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/170655\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=170655"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=170655"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=170655"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}