{"id":234835,"date":"2025-06-14T13:43:06","date_gmt":"2025-06-14T13:43:06","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=234835"},"modified":"2025-06-14T13:43:07","modified_gmt":"2025-06-14T13:43:07","slug":"which-of-the-following-pairs-of-rational-numbers-are-equivalent-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/14\/which-of-the-following-pairs-of-rational-numbers-are-equivalent-2\/","title":{"rendered":"Which of the following pairs of rational numbers are equivalent"},"content":{"rendered":"\n<p>Which of the following pairs of rational numbers are equivalent? 18 46 (0) 14:42 () -27 -6<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer: -27 and -6<\/strong><\/p>\n\n\n\n<p>To determine which pair of rational numbers are equivalent, each pair should be converted into a simplified or reduced form to see if they represent the same value. Rational numbers are numbers that can be expressed as a fraction of two integers.<\/p>\n\n\n\n<p>Consider the given pairs:<\/p>\n\n\n\n<p><strong>Pair 1: 18 and 46<\/strong><\/p>\n\n\n\n<p>18 and 46 are both whole numbers. When written as fractions (18\/1 and 46\/1), they clearly represent two different quantities. Neither is a reduced form of the other, and their decimal representations (18.0 and 46.0) confirm they are not equivalent. Therefore, this pair is not equivalent.<\/p>\n\n\n\n<p><strong>Pair 2: 0 and 14:42<\/strong><\/p>\n\n\n\n<p>Interpreting 14:42 as a time notation and not a fraction, it does not represent a rational number in its standard numerical form. However, assuming it means a ratio (14 divided by 42), then 14\/42 simplifies to 1\/3. On the other hand, 0 as a rational number is 0\/1. Since 1\/3 \u2260 0, these are not equivalent.<\/p>\n\n\n\n<p><strong>Pair 3: -27 and -6<\/strong><\/p>\n\n\n\n<p>Now consider the pair -27 and -6. To determine if they are equivalent, divide both numbers:<br>-27 \u00f7 -6 = 4.5<\/p>\n\n\n\n<p>However, this gives a result rather than testing equivalence. Instead, write both numbers as fractions:<br>-27\/1 and -6\/1. Since -27 \u2260 -6, at first glance they do not seem equivalent. But if one compares <strong>ratios<\/strong> or their simplified versions, a mistake could arise.<\/p>\n\n\n\n<p>However, there may be a correction in interpretation: if the pair meant <strong>fractions<\/strong> with equal values, the rational numbers must be fractions that simplify to the same value.<\/p>\n\n\n\n<p>Another possibility is that none of the pairs are truly equivalent unless there is a formatting or typo issue.<\/p>\n\n\n\n<p>Upon rechecking, <strong>none<\/strong> of the pairs represent equivalent rational numbers. Therefore, the final answer should be:<\/p>\n\n\n\n<p><strong>Correct Answer: None of the given pairs are equivalent rational numbers.<\/strong><\/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-banner8-506.jpeg\" alt=\"\" class=\"wp-image-234836\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following pairs of rational numbers are equivalent? 18 46 (0) 14:42 () -27 -6 The Correct Answer and Explanation is: Correct Answer: -27 and -6 To determine which pair of rational numbers are equivalent, each pair should be converted into a simplified or reduced form to see if they represent the same [&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-234835","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234835","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=234835"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234835\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=234835"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=234835"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=234835"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}