{"id":143893,"date":"2024-09-24T06:55:24","date_gmt":"2024-09-24T06:55:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=143893"},"modified":"2024-09-24T06:55:26","modified_gmt":"2024-09-24T06:55:26","slug":"write-2-25-as-a-mixed-number-and-as-an-improper-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/24\/write-2-25-as-a-mixed-number-and-as-an-improper-fraction\/","title":{"rendered":"Write 2.25 as a mixed number and as an improper fraction"},"content":{"rendered":"\n<p>Write 2.25 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<p>To convert the decimal 2.25 into a mixed number and an improper fraction, we can follow a systematic approach.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understanding Mixed Numbers and Improper Fractions<\/h3>\n\n\n\n<p>A <strong>mixed number<\/strong> consists of a whole number and a proper fraction. An <strong>improper fraction<\/strong> has a numerator that is greater than or equal to the denominator. Both forms represent the same value, but they express it differently.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Converting 2.25 to a Mixed Number<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the whole number part<\/strong>: The number 2.25 has a whole number part of 2.<\/li>\n\n\n\n<li><strong>Identify the fractional part<\/strong>: The decimal .25 can be converted to a fraction. Since .25 means 25 hundredths, it can be written as:<br>[<br>\\frac{25}{100}<br>]<\/li>\n\n\n\n<li><strong>Simplify the fraction<\/strong>: To simplify (\\frac{25}{100}), we divide both the numerator and the denominator by their greatest common divisor (GCD), which is 25:<br>[<br>\\frac{25 \\div 25}{100 \\div 25} = \\frac{1}{4}<br>]<\/li>\n\n\n\n<li><strong>Combine into a mixed number<\/strong>: Thus, 2.25 can be expressed as:<br>[<br>2 \\frac{1}{4}<br>]<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Converting 2.25 to an Improper Fraction<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Convert the mixed number to an improper fraction<\/strong>: To convert (2 \\frac{1}{4}) into an improper fraction, multiply the whole number (2) by the denominator (4) and add the numerator (1):<br>[<br>2 \\times 4 + 1 = 8 + 1 = 9<br>]<br>So, we have:<br>[<br>\\frac{9}{4}<br>]<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Summary of Answers<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>As a <strong>mixed number<\/strong>, 2.25 is (2 \\frac{1}{4}).<\/li>\n\n\n\n<li>As an <strong>improper fraction<\/strong>, 2.25 is (\\frac{9}{4}).<\/li>\n<\/ul>\n\n\n\n<p>Both forms are in their simplest state. Understanding these conversions enhances mathematical fluency, allowing one to easily switch between different numerical representations based on the context or requirement.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 2.25 as a mixed number and as an improper fraction. write your answers in simplest form. The Correct Answer and Explanation is : To convert the decimal 2.25 into a mixed number and an improper fraction, we can follow a systematic approach. Step 1: Understanding Mixed Numbers and Improper Fractions A mixed number consists [&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-143893","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/143893","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=143893"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/143893\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=143893"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=143893"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=143893"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}