{"id":235467,"date":"2025-06-15T11:48:52","date_gmt":"2025-06-15T11:48:52","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=235467"},"modified":"2025-06-15T11:48:53","modified_gmt":"2025-06-15T11:48:53","slug":"can-a-fraction-be-negative-is-28-9-a-fraction-or-a-rational-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/15\/can-a-fraction-be-negative-is-28-9-a-fraction-or-a-rational-number\/","title":{"rendered":"Can a fraction be negative. Is &#8211; 28\/9 a fraction or a rational number"},"content":{"rendered":"\n<p>Can a fraction be negative. Is &#8211; 28\/9 a fraction or a rational number?<\/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>Yes, a fraction can be negative. The expression \u2212289-\\dfrac{28}{9}\u2212928\u200b is both a <strong>fraction<\/strong> and a <strong>rational number<\/strong>.<\/p>\n\n\n\n<p>A <strong>fraction<\/strong> is defined as a number that represents parts of a whole and is expressed in the form ab\\dfrac{a}{b}ba\u200b, where aaa and bbb are integers, and b\u22600b \\neq 0b\ue020=0. If either the numerator or denominator is negative, the entire fraction becomes negative. Therefore, \u2212289-\\dfrac{28}{9}\u2212928\u200b qualifies as a fraction because it is expressed in the standard form of a numerator over a denominator.<\/p>\n\n\n\n<p>A <strong>rational number<\/strong> is any number that can be written as the ratio of two integers, pq\\dfrac{p}{q}qp\u200b, with q\u22600q \\neq 0q\ue020=0. Rational numbers include positive and negative fractions, whole numbers, and decimals that terminate or repeat. Since \u2212289-\\dfrac{28}{9}\u2212928\u200b is a ratio of two integers and the denominator is not zero, it fits the definition of a rational number as well.<\/p>\n\n\n\n<p>Negative fractions often arise in real-life applications, such as owing money, changes in elevation, or temperature drops. The placement of the negative sign is flexible in fractional notation. For example, \u2212289-\\dfrac{28}{9}\u2212928\u200b, \u2212289\\dfrac{-28}{9}9\u221228\u200b, and 28\u22129\\dfrac{28}{-9}\u2212928\u200b all represent the same value. The key point is that the overall value of the fraction is negative.<\/p>\n\n\n\n<p>Additionally, the decimal equivalent of \u2212289-\\dfrac{28}{9}\u2212928\u200b is approximately \u22123.111&#8230;-3.111&#8230;\u22123.111&#8230;, which is a repeating decimal. This confirms its classification as a rational number, since repeating decimals always correspond to rational values.<\/p>\n\n\n\n<p>Therefore, \u2212289-\\dfrac{28}{9}\u2212928\u200b is both a <strong>negative fraction<\/strong> and a <strong>rational number<\/strong>, and its classification depends on the mathematical context being discussed.<\/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-banner8-577.jpeg\" alt=\"\" class=\"wp-image-235468\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Can a fraction be negative. Is &#8211; 28\/9 a fraction or a rational number? The Correct Answer and Explanation is: Yes, a fraction can be negative. The expression \u2212289-\\dfrac{28}{9}\u2212928\u200b is both a fraction and a rational number. A fraction is defined as a number that represents parts of a whole and is expressed in the [&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-235467","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235467","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=235467"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235467\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=235467"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=235467"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=235467"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}