{"id":149462,"date":"2024-10-07T09:58:54","date_gmt":"2024-10-07T09:58:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149462"},"modified":"2024-10-07T09:58:57","modified_gmt":"2024-10-07T09:58:57","slug":"write-2-75-as-a-mixed-number-and-as-an-improper-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/07\/write-2-75-as-a-mixed-number-and-as-an-improper-fraction\/","title":{"rendered":"Write 2.75 as a mixed number and as an improper fraction"},"content":{"rendered":"\n<p>Write 2.75 as a mixed number and as an improper fraction. Write your answers in simplest form.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Answer:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Mixed number:<\/strong> 2.75 can be written as ( 2 \\frac{3}{4} ).<\/li>\n\n\n\n<li><strong>Improper fraction:<\/strong> 2.75 can be written as ( \\frac{11}{4} ).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation:<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding Decimal to Mixed Number Conversion<\/strong>:<br>A decimal like 2.75 consists of two parts:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The whole number (2) and<\/li>\n\n\n\n<li>The decimal part (0.75). To convert this to a mixed number:<\/li>\n\n\n\n<li>The whole number remains unchanged: <strong>2<\/strong>.<\/li>\n\n\n\n<li>Now, we focus on converting the decimal <strong>0.75<\/strong> into a fraction.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Converting the Decimal (0.75) into a Fraction<\/strong>:<br>To convert 0.75 to a fraction, recognize that:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0.75 is the same as 75\/100.<\/li>\n\n\n\n<li>Simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 25. [<br>\\frac{75}{100} = \\frac{75 \\div 25}{100 \\div 25} = \\frac{3}{4}<br>] Therefore, 0.75 equals ( \\frac{3}{4} ).<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Writing the Mixed Number<\/strong>:<br>Now, combine the whole number <strong>2<\/strong> with the fractional part ( \\frac{3}{4} ), and you get the mixed number: [<br>2 \\frac{3}{4}<br>]<\/li>\n\n\n\n<li><strong>Converting to an Improper Fraction<\/strong>:<br>An improper fraction has a numerator larger than the denominator, representing the same value as the mixed number but without separating the whole number part. To convert ( 2 \\frac{3}{4} ) to an improper fraction:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply the whole number (2) by the denominator (4): ( 2 \\times 4 = 8 ).<\/li>\n\n\n\n<li>Add the result to the numerator (3): ( 8 + 3 = 11 ). This gives the improper fraction: [<br>\\frac{11}{4}<br>]<\/li>\n<\/ul>\n\n\n\n<p>Thus, 2.75 can be expressed as ( 2 \\frac{3}{4} ) (mixed number) and ( \\frac{11}{4} ) (improper fraction). Both represent the same value, but in different formats.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 2.75 as a mixed number and as an improper fraction. Write your answers in simplest form. The Correct Answer and Explanation is : Answer: Explanation: Thus, 2.75 can be expressed as ( 2 \\frac{3}{4} ) (mixed number) and ( \\frac{11}{4} ) (improper fraction). Both represent the same value, but in different formats.<\/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-149462","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149462","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=149462"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149462\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149462"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149462"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149462"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}