Which of the following fraction pairs are equivalent fractions?
A 1\/2 and 17\/32
B 1\/2 and 32\/64
C 1\/2 and 3\/4
D 1\/2 and 63\/128<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The correct answer is B: 1\/2 and 32\/64<\/strong>.<\/p>\n\n\n\n To determine if two fractions are equivalent, you need to check if they represent the same value. This can be done by simplifying one fraction or cross-multiplying the two fractions.<\/p>\n\n\n\n Let\u2019s analyze each option:<\/p>\n\n\n\n Thus, the only pair of equivalent fractions is 1\/2 and 32\/64<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" Which of the following fraction pairs are equivalent fractions?A 1\/2 and 17\/32B 1\/2 and 32\/64C 1\/2 and 3\/4D 1\/2 and 63\/128 The correct answer and explanation is: The correct answer is B: 1\/2 and 32\/64. To determine if two fractions are equivalent, you need to check if they represent the same value. This can be […]<\/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-274578","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274578","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=274578"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274578\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=274578"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=274578"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=274578"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
To check if these fractions are equivalent, simplify both fractions or cross-multiply.
Cross-multiplying:
1\u00d732=321 \\times 32 = 32
2\u00d717=342 \\times 17 = 34
Since 32 is not equal to 34, these fractions are not equivalent<\/strong>.<\/li>\n\n\n\n
Simplify 32\/64 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 32: 3264=32\u00f73264\u00f732=12\\frac{32}{64} = \\frac{32 \\div 32}{64 \\div 32} = \\frac{1}{2} Since 32\/64 simplifies to 1\/2, these fractions are equivalent<\/strong>.<\/li>\n\n\n\n
Cross-multiply to check:
1\u00d74=41 \\times 4 = 4
2\u00d73=62 \\times 3 = 6
Since 4 is not equal to 6, these fractions are not equivalent<\/strong>.<\/li>\n\n\n\n
Cross-multiply:
1\u00d7128=1281 \\times 128 = 128
2\u00d763=1262 \\times 63 = 126
Since 128 is not equal to 126, these fractions are not equivalent<\/strong>.<\/li>\n<\/ol>\n\n\n\n