{"id":168053,"date":"2024-11-16T16:50:05","date_gmt":"2024-11-16T16:50:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168053"},"modified":"2024-11-16T16:50:09","modified_gmt":"2024-11-16T16:50:09","slug":"write-4-8-as-a-mixed-number-and-as-an-improper-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/16\/write-4-8-as-a-mixed-number-and-as-an-improper-fraction\/","title":{"rendered":"Write 4.8 as a mixed number and as an improper fraction"},"content":{"rendered":"\n<p>Write 4.8 as a mixed number and as an improper fraction<\/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 4.8 as a mixed number and an improper fraction, we need to break the decimal into its whole and fractional parts.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert 4.8 into a mixed number<\/h3>\n\n\n\n<p>A mixed number consists of a whole number and a proper fraction. The whole number part of 4.8 is <strong>4<\/strong>, and the decimal part is <strong>0.8<\/strong>.<\/p>\n\n\n\n<p>Now, we need to convert 0.8 into a fraction:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0.8 is the same as 8 tenths, so it can be written as the fraction <strong>8\/10<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Next, simplify the fraction <strong>8\/10<\/strong>. To do this, find the greatest common divisor (GCD) of 8 and 10, which is 2. Divide both the numerator and the denominator by 2:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>8 \u00f7 2 = 4<\/strong><\/li>\n\n\n\n<li><strong>10 \u00f7 2 = 5<\/strong><\/li>\n<\/ul>\n\n\n\n<p>So, <strong>8\/10<\/strong> simplifies to <strong>4\/5<\/strong>.<\/p>\n\n\n\n<p>Thus, 4.8 as a mixed number is:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>4 4\/5<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Convert 4.8 into an improper fraction<\/h3>\n\n\n\n<p>To express the mixed number <strong>4 4\/5<\/strong> as an improper fraction:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Multiply the whole number part (4) by the denominator of the fraction (5):<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>4 \u00d7 5 = 20<\/strong><\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Add the numerator of the fractional part (4) to this product:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>20 + 4 = 24<\/strong><\/li>\n<\/ul>\n\n\n\n<p>So, the improper fraction form is <strong>24\/5<\/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><strong>Mixed number form:<\/strong> 4 4\/5<\/li>\n\n\n\n<li><strong>Improper fraction form:<\/strong> 24\/5<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>A <strong>mixed number<\/strong> is a combination of a whole number and a fraction. To convert a decimal like 4.8 into a mixed number, we first separate the whole number part (4) and the decimal part (0.8). We then convert the decimal into a fraction and simplify it. In this case, 0.8 becomes 8\/10, which simplifies to 4\/5.<\/p>\n\n\n\n<p>An <strong>improper fraction<\/strong> represents a number where the numerator is greater than or equal to the denominator. To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and then add the numerator of the fraction. This gives us the improper fraction 24\/5.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 4.8 as a mixed number and as an improper fraction The Correct Answer and Explanation is: To express 4.8 as a mixed number and an improper fraction, we need to break the decimal into its whole and fractional parts. Step 1: Convert 4.8 into a mixed number A mixed number consists of a whole [&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-168053","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168053","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=168053"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168053\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168053"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168053"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168053"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}