{"id":213822,"date":"2025-05-12T12:27:11","date_gmt":"2025-05-12T12:27:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=213822"},"modified":"2025-05-12T12:27:12","modified_gmt":"2025-05-12T12:27:12","slug":"write-4-25-as-a-mixed-number-and-as-an-improper-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/12\/write-4-25-as-a-mixed-number-and-as-an-improper-fraction\/","title":{"rendered":"Write 4.25 as a mixed number and as an improper fraction."},"content":{"rendered":"\n<p>Write 4.25 as a mixed number and as an improper fraction. Write your answers in simplest form.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Mixed number:<\/strong> 4 \u00bc<\/li>\n\n\n\n<li><strong>Improper fraction:<\/strong> 17\/4<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 words):<\/h3>\n\n\n\n<p>To convert <strong>4.25<\/strong> to both a <strong>mixed number<\/strong> and an <strong>improper fraction<\/strong>, we need to understand the place value of the decimal and how to represent it as a fraction.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Understand the Decimal<\/h4>\n\n\n\n<p>The decimal <strong>4.25<\/strong> means <strong>4 whole units<\/strong> and <strong>25 hundredths<\/strong>. In other words: 4.25=4+0.254.25 = 4 + 0.25<\/p>\n\n\n\n<p>Now we focus on converting the <strong>0.25<\/strong> portion to a fraction.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Convert 0.25 to a Fraction<\/h4>\n\n\n\n<p>0.25=251000.25 = \\frac{25}{100}<\/p>\n\n\n\n<p>To simplify this fraction, divide both the numerator and denominator by their greatest common factor (GCF), which is 25: 25\u00f725100\u00f725=14\\frac{25 \\div 25}{100 \\div 25} = \\frac{1}{4}<\/p>\n\n\n\n<p>So, 4.25=4+14=4144.25 = 4 + \\frac{1}{4} = 4\\frac{1}{4}<\/p>\n\n\n\n<p>This is the <strong>mixed number<\/strong> form.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 3: Convert Mixed Number to Improper Fraction<\/h4>\n\n\n\n<p>A <strong>mixed number<\/strong> like 4144\\frac{1}{4} has a whole number and a fraction. To convert it to an <strong>improper fraction<\/strong>, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Multiply the whole number by the denominator:<br>4\u00d74=164 \\times 4 = 16<\/li>\n\n\n\n<li>Add the numerator:<br>16+1=1716 + 1 = 17<\/li>\n\n\n\n<li>Keep the same denominator: 174\\frac{17}{4}<\/li>\n<\/ol>\n\n\n\n<p>So, 414=1744\\frac{1}{4} = \\frac{17}{4}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Final Answers:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Mixed number:<\/strong> 414\\boxed{4\\frac{1}{4}}<\/li>\n\n\n\n<li><strong>Improper fraction:<\/strong> 174\\boxed{\\frac{17}{4}}<\/li>\n<\/ul>\n\n\n\n<p>These are in <strong>simplest form<\/strong>, as the fraction 14\\frac{1}{4} cannot be simplified further and 174\\frac{17}{4} is already reduced<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 4.25 as a mixed number and as an improper fraction. Write your answers in simplest form. The Correct Answer and Explanation is: Correct Answer: Explanation (300 words): To convert 4.25 to both a mixed number and an improper fraction, we need to understand the place value of the decimal and how to represent it [&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-213822","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/213822","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=213822"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/213822\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=213822"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=213822"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=213822"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}