{"id":235471,"date":"2025-06-15T11:51:14","date_gmt":"2025-06-15T11:51:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=235471"},"modified":"2025-06-15T11:51:16","modified_gmt":"2025-06-15T11:51:16","slug":"express-as-a-rational-number-with-denominator-28","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/15\/express-as-a-rational-number-with-denominator-28\/","title":{"rendered":"Express as a rational number with denominator,- 28"},"content":{"rendered":"\n<p> Express as a rational number with denominator,- 28<\/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><br>A rational number with denominator <strong>\u201328<\/strong> can be written in the form <strong>a\/\u201328<\/strong>, where <strong>a<\/strong> is an integer. For example, <strong>5\/\u201328<\/strong> is a valid rational number.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><br>A rational number is defined as any number that can be expressed as a fraction <strong>a\/b<\/strong>, where <strong>a<\/strong> and <strong>b<\/strong> are integers and <strong>b<\/strong> is not equal to zero. The denominator, in this case, is specifically given as <strong>\u201328<\/strong>. Although it is more common to write fractions with a positive denominator, having a negative denominator does not disqualify a number from being rational.<\/p>\n\n\n\n<p>To express any rational number with denominator \u201328, one must place any integer in the numerator while keeping \u201328 in the denominator. For example, the rational numbers <strong>1\/\u201328<\/strong>, <strong>\u20133\/\u201328<\/strong>, <strong>10\/\u201328<\/strong>, and <strong>\u20137\/\u201328<\/strong> are all valid. Each of these fractions represents a rational number because both the numerator and the denominator are integers, and the denominator is nonzero.<\/p>\n\n\n\n<p>Additionally, a fraction such as <strong>\u20134\/\u201328<\/strong> can be simplified. Dividing both numerator and denominator by \u20134 gives <strong>1\/7<\/strong>, which is also rational. The sign of the denominator affects the sign of the fraction. For instance, <strong>5\/\u201328<\/strong> is equivalent to <strong>\u20135\/28<\/strong>, because the negative sign can be moved to the numerator or in front of the entire fraction without changing the value.<\/p>\n\n\n\n<p>It is also important to understand that the placement of the negative sign is a matter of convention. A fraction like <strong>a\/\u201328<\/strong> is considered the same as <strong>\u2013a\/28<\/strong> or <strong>\u2013(a\/28)<\/strong>. The key requirement is that the value must still represent a ratio of integers with a non-zero denominator. Therefore, any integer placed over \u201328 forms a rational number.<\/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-banner8-578.jpeg\" alt=\"\" class=\"wp-image-235472\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Express as a rational number with denominator,- 28 The Correct Answer and Explanation is: Correct Answer:A rational number with denominator \u201328 can be written in the form a\/\u201328, where a is an integer. For example, 5\/\u201328 is a valid rational number. Explanation:A rational number is defined as any number that can be expressed as 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-235471","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235471","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=235471"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235471\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=235471"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=235471"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=235471"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}