8.125 as a fraction in simplest form<\/p>\n\n\n\n
The correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To convert 8.125 into a fraction in simplest form, follow these steps:<\/p>\n\n\n\n First, recognize that 8.125 can be written as the sum of a whole number and a decimal:8.125=8+0.1258.125 = 8 + 0.1258.125=8+0.125<\/p>\n\n\n\n Now, we will convert 0.125 into a fraction.<\/p>\n\n\n\n 0.125 is a decimal, which is equivalent to 125\/1000, since it has three decimal places:0.125=12510000.125 = \\frac{125}{1000}0.125=1000125\u200b<\/p>\n\n\n\n Next, simplify 1251000\\frac{125}{1000}1000125\u200b. Find the greatest common divisor (GCD) of 125 and 1000. The GCD is 125. Divide both the numerator and the denominator by their GCD:125\u00f71251000\u00f7125=18\\frac{125 \\div 125}{1000 \\div 125} = \\frac{1}{8}1000\u00f7125125\u00f7125\u200b=81\u200b<\/p>\n\n\n\n Thus, 0.125=180.125 = \\frac{1}{8}0.125=81\u200b.<\/p>\n\n\n\n Now, add the whole number (8) to the fraction 18\\frac{1}{8}81\u200b. To do this, express 8 as a fraction with the same denominator (8):8=8\u00d788=6488 = \\frac{8 \\times 8}{8} = \\frac{64}{8}8=88\u00d78\u200b=864\u200b<\/p>\n\n\n\n Now, add the two fractions:648+18=658\\frac{64}{8} + \\frac{1}{8} = \\frac{65}{8}864\u200b+81\u200b=865\u200b<\/p>\n\n\n\n Thus, 8.125 as a fraction in simplest form is:8.125=6588.125 = \\frac{65}{8}8.125=865\u200b<\/p>\n\n\n\n When converting a decimal to a fraction, you first separate the whole number from the decimal part. In this case, 8.125 is broken into 8 and 0.125. You then convert the decimal part to a fraction by placing it over a power of 10 (depending on the number of decimal places), simplify it, and finally combine it with the whole number. This step-by-step method ensures accuracy in representing decimals as fractions. The key is simplifying the fraction by using the greatest common divisor, which results in the simplest form.<\/p>\n","protected":false},"excerpt":{"rendered":" 8.125 as a fraction in simplest form The correct Answer and Explanation is: To convert 8.125 into a fraction in simplest form, follow these steps: Step 1: Express the decimal as a fraction First, recognize that 8.125 can be written as the sum of a whole number and a decimal:8.125=8+0.1258.125 = 8 + 0.1258.125=8+0.125 Now, […]<\/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-149310","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149310","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=149310"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149310\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149310"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149310"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149310"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Express the decimal as a fraction<\/h3>\n\n\n\n
Step 2: Convert the decimal part (0.125) to a fraction<\/h3>\n\n\n\n
Step 3: Simplify the fraction<\/h3>\n\n\n\n
Step 4: Add the whole number and the fraction<\/h3>\n\n\n\n
Step 5: The final fraction<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n