{"id":156079,"date":"2024-10-17T03:37:28","date_gmt":"2024-10-17T03:37:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156079"},"modified":"2024-10-17T03:37:30","modified_gmt":"2024-10-17T03:37:30","slug":"write-1-75-as-a-mixed-number-and-as-an-improper-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/write-1-75-as-a-mixed-number-and-as-an-improper-fraction\/","title":{"rendered":"Write 1.75 as a mixed number and as an improper fraction"},"content":{"rendered":"\n<p>Write 1.75 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\">Converting 1.75 to a Mixed Number and Improper Fraction<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Mixed Number:<\/h4>\n\n\n\n<p>1.75 as a mixed number is <strong>1<\/strong> and <strong>3\/4<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The whole number part is 1.<\/li>\n\n\n\n<li>The decimal part, 0.75, is equivalent to <strong>3\/4<\/strong> because ( 0.75 = \\frac{75}{100} ) and simplifies to <strong>3\/4<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>So, <strong>1.75 = 1 \\frac{3}{4}<\/strong> as a mixed number.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Improper Fraction:<\/h4>\n\n\n\n<p>To convert the mixed number to an improper fraction:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Take the whole number part (1) and multiply it by the denominator of the fractional part (4).<br>[<br>1 \\times 4 = 4<br>]<\/li>\n\n\n\n<li>Add the result to the numerator of the fractional part (3).<br>[<br>4 + 3 = 7<br>]<\/li>\n\n\n\n<li>Place this sum over the original denominator (4).<br>[<br>\\frac{7}{4}<br>]<br>Thus, <strong>1.75 = \\frac{7}{4}<\/strong> as an improper fraction.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>A <strong>mixed number<\/strong> consists of a whole number and a fraction. To convert a decimal like 1.75 into a mixed number, you first identify the whole number part (which is 1) and then convert the decimal part (0.75) into a fraction. Since 0.75 means 75 out of 100, it simplifies to <strong>3\/4<\/strong>.<\/p>\n\n\n\n<p>For converting the mixed number into an <strong>improper fraction<\/strong>, you multiply the whole number by the denominator of the fraction, then add the numerator. This step turns the whole number and fraction into a single fraction, where the numerator is larger than the denominator.<\/p>\n\n\n\n<p>Both representations\u2014mixed numbers and improper fractions\u2014are different ways of expressing the same value.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 1.75 as a mixed number and as an improper fraction. Write your answers in simplest form. The Correct Answer and Explanation is : Converting 1.75 to a Mixed Number and Improper Fraction Mixed Number: 1.75 as a mixed number is 1 and 3\/4. So, 1.75 = 1 \\frac{3}{4} as a mixed number. Improper Fraction: [&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-156079","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156079","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=156079"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156079\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156079"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156079"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156079"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}