{"id":156538,"date":"2024-10-17T11:15:59","date_gmt":"2024-10-17T11:15:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156538"},"modified":"2024-10-17T11:16:01","modified_gmt":"2024-10-17T11:16:01","slug":"express-4-1-8-in-decimal-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/express-4-1-8-in-decimal-form\/","title":{"rendered":"Express 4 1\/8 in decimal form."},"content":{"rendered":"\n<p>Express 4 1\/8 in decimal form. <\/p>\n\n\n\n<p>A) 4.125 <\/p>\n\n\n\n<p>B) 4.15 <\/p>\n\n\n\n<p>C) 0.415 <\/p>\n\n\n\n<p>D) 4.08<\/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>The correct answer is <strong>A) 4.125<\/strong>.<\/p>\n\n\n\n<p>To express the mixed number ( 4 \\frac{1}{8} ) in decimal form, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand the components of the mixed number<\/h3>\n\n\n\n<p>A mixed number consists of a whole number and a fraction. In this case:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The whole number is 4.<\/li>\n\n\n\n<li>The fractional part is ( \\frac{1}{8} ).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Convert the fraction to a decimal<\/h3>\n\n\n\n<p>To convert ( \\frac{1}{8} ) into a decimal, perform the division:<br>[<br>\\frac{1}{8} = 1 \\div 8 = 0.125<br>]<br>Thus, ( \\frac{1}{8} ) is equal to 0.125 in decimal form.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Add the whole number and the decimal fraction<\/h3>\n\n\n\n<p>Now that we have converted the fraction to a decimal, add it to the whole number:<br>[<br>4 + 0.125 = 4.125<br>]<\/p>\n\n\n\n<p>Therefore, ( 4 \\frac{1}{8} ) in decimal form is <strong>4.125<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why the other options are incorrect:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option B: 4.15<\/strong> \u2013 This option is incorrect because ( \\frac{1}{8} ) is not equal to 0.15. In fact, ( \\frac{1}{8} = 0.125 ), not 0.15. The decimal 0.15 represents ( \\frac{3}{20} ), which is a different fraction.<\/li>\n\n\n\n<li><strong>Option C: 0.415<\/strong> \u2013 This option is incorrect because it doesn&#8217;t include the whole number part of 4. Also, the fractional part is miscalculated; ( 0.415 ) doesn&#8217;t represent ( \\frac{1}{8} ).<\/li>\n\n\n\n<li><strong>Option D: 4.08<\/strong> \u2013 This option is incorrect because 4.08 would represent ( 4 \\frac{8}{100} ), which is different from ( 4 \\frac{1}{8} ). The fraction ( \\frac{1}{8} ) does not convert to 0.08; instead, it equals 0.125.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the correct decimal equivalent of ( 4 \\frac{1}{8} ) is <strong>4.125<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Express 4 1\/8 in decimal form. A) 4.125 B) 4.15 C) 0.415 D) 4.08 The Correct Answer and Explanation is: The correct answer is A) 4.125. To express the mixed number ( 4 \\frac{1}{8} ) in decimal form, follow these steps: Step 1: Understand the components of the mixed number A mixed number consists of [&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-156538","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156538","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=156538"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156538\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156538"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156538"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156538"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}