{"id":234498,"date":"2025-06-14T07:38:29","date_gmt":"2025-06-14T07:38:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=234498"},"modified":"2025-06-14T07:38:32","modified_gmt":"2025-06-14T07:38:32","slug":"a-fraction-whose-numerator-is-greater-than-its-denominator-is-called-an-improper-fraction-for-example-in-the-fraction-5-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/14\/a-fraction-whose-numerator-is-greater-than-its-denominator-is-called-an-improper-fraction-for-example-in-the-fraction-5-4\/","title":{"rendered":"A fraction whose numerator is greater than its denominator is called an improper fraction For example; in the fraction 5\/4"},"content":{"rendered":"\n<p>A fraction whose numerator is greater than its denominator is called an improper fraction For example; in the fraction 5\/4, the denominator tells you the unit should be divided into 4 equal-sized parts, as shown at the right What do you need to draw in order to show 5 of these 1\/4 pieces? Make a sketch of shaded fraction strips to show 5\/4. Another way to write 5\/4 involves thinking of the number as having a whole number part and a fraction part: How would you do this? Use your drawing of fraction strips in part (a) to explain your answer_ Your answer in part (b), read &#8220;one and one-fourth&#8221; is called mixed number since it has a whole number part and &amp; fraction part: What does the word &#8220;and&#8221; indicate in the name of this fraction? Sketch fraction strips to represent each of the following improper fractions Then write the mixed number for each one_ 13\/5 11\/3 =<\/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>To represent an improper fraction like <strong>5\/4<\/strong>, begin by recognizing that each whole unit is divided into 4 equal parts. To show <strong>5\/4<\/strong>, draw <strong>two fraction strips<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In the first strip, divide it into <strong>4 equal parts<\/strong> and shade <strong>all 4 parts<\/strong> to represent one whole.<\/li>\n\n\n\n<li>In the second strip, divide it into <strong>4 equal parts<\/strong> again and shade <strong>only 1 part<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>This sketch visually represents the 5 shaded fourths. The first strip shows 4\/4, which equals 1 whole, and the second strip adds 1\/4. Altogether, 5\/4 equals <strong>1 whole and 1\/4<\/strong>, or <strong>1 1\/4<\/strong> as a <strong>mixed number<\/strong>.<\/p>\n\n\n\n<p>The mixed number <strong>1 1\/4<\/strong> consists of a <strong>whole number part<\/strong> (1) and a <strong>fractional part<\/strong> (1\/4). The word &#8220;<strong>and<\/strong>&#8221; in this context indicates the <strong>addition<\/strong> of a fractional part to the whole number. It signals a combination: the entire whole unit plus a portion of another unit.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Representation of Improper Fractions as Mixed Numbers<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">1. <strong>13\/5<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw <strong>3 strips<\/strong>, each divided into <strong>5 equal parts<\/strong>.<\/li>\n\n\n\n<li>Shade <strong>5 parts<\/strong> in the first strip, <strong>5 more parts<\/strong> in the second strip, and <strong>3 parts<\/strong> in the third strip.<\/li>\n\n\n\n<li>Total shaded: 13 parts out of 5 per strip.<\/li>\n<\/ul>\n\n\n\n<p>This gives 2 full strips shaded (2 wholes = 10\/5) and 3\/5 in the third strip.<br><strong>13\/5 = 2 3\/5<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2. <strong>11\/3<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw <strong>4 strips<\/strong>, each divided into <strong>3 equal parts<\/strong>.<\/li>\n\n\n\n<li>Shade <strong>3 parts<\/strong> in the first, <strong>3 parts<\/strong> in the second, <strong>3 parts<\/strong> in the third, and <strong>2 parts<\/strong> in the fourth strip.<\/li>\n\n\n\n<li>Total shaded: 11 parts out of 3 per group.<\/li>\n<\/ul>\n\n\n\n<p>This represents 3 full strips shaded (3 wholes = 9\/3) and 2\/3 on the fourth.<br><strong>11\/3 = 3 2\/3<\/strong><\/p>\n\n\n\n<p>These visual models help in clearly understanding how improper fractions relate to mixed numbers.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-423.jpeg\" alt=\"\" class=\"wp-image-234499\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A fraction whose numerator is greater than its denominator is called an improper fraction For example; in the fraction 5\/4, the denominator tells you the unit should be divided into 4 equal-sized parts, as shown at the right What do you need to draw in order to show 5 of these 1\/4 pieces? Make a [&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-234498","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234498","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=234498"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234498\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=234498"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=234498"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=234498"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}