Which of the following statements are true?
A. 1\/2 < 5\/12<\/p>\n\n\n\n
B. 2\/3 < 5\/12<\/p>\n\n\n\n
C. 1\/4 < 5\/12<\/p>\n\n\n\n
D. 5\/8 < 5\/12<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The correct answer is: C is true.<\/strong><\/mark><\/p>\n\n\n\n To determine which of the statements are true, we will compare each fraction to ( \\frac{5}{12} ).<\/p>\n\n\n\n To compare these fractions, we can convert ( \\frac{1}{2} ) to twelfths: Convert ( \\frac{2}{3} ) to twelfths: Convert ( \\frac{1}{4} ) to twelfths: Convert ( \\frac{5}{8} ) to twelfths: Only Statement C, ( \\frac{1}{4} < \\frac{5}{12} ), is true. The other statements (A, B, and D) are false because ( \\frac{1}{2} ) and ( \\frac{2}{3} ) are greater than ( \\frac{5}{12} ), and ( \\frac{5}{8} ) is also greater than ( \\frac{5}{12} ).<\/p>\n\n\n\n This exercise demonstrates how to compare fractions by finding a common denominator or converting them to equivalent fractions, facilitating clear comparisons.<\/p>\n","protected":false},"excerpt":{"rendered":" Which of the following statements are true?A. 1\/2 < 5\/12 B. 2\/3 < 5\/12 C. 1\/4 < 5\/12 D. 5\/8 < 5\/12 The Correct Answer and Explanation is : The correct answer is: C is true. To determine which of the statements are true, we will compare each fraction to ( \\frac{5}{12} ). Statement A: […]<\/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-156188","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156188","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=156188"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156188\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156188"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156188"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156188"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Statement A: ( \\frac{1}{2} < \\frac{5}{12} )<\/h3>\n\n\n\n
[
\\frac{1}{2} = \\frac{6}{12}
]
Now we compare ( \\frac{6}{12} ) and ( \\frac{5}{12} ):
[
\\frac{6}{12} > \\frac{5}{12}
]
Conclusion:<\/strong> Statement A is false<\/strong>.<\/p>\n\n\n\nStatement B: ( \\frac{2}{3} < \\frac{5}{12} )<\/h3>\n\n\n\n
[
\\frac{2}{3} = \\frac{8}{12}
]
Now we compare ( \\frac{8}{12} ) and ( \\frac{5}{12} ):
[
\\frac{8}{12} > \\frac{5}{12}
]
Conclusion:<\/strong> Statement B is false<\/strong>.<\/p>\n\n\n\nStatement C: ( \\frac{1}{4} < \\frac{5}{12} )<\/h3>\n\n\n\n
[
\\frac{1}{4} = \\frac{3}{12}
]
Now we compare ( \\frac{3}{12} ) and ( \\frac{5}{12} ):
[
\\frac{3}{12} < \\frac{5}{12}
]
Conclusion:<\/strong> Statement C is true<\/strong>.<\/p>\n\n\n\nStatement D: ( \\frac{5}{8} < \\frac{5}{12} )<\/h3>\n\n\n\n
[
\\frac{5}{8} = \\frac{15}{24} \\quad \\text{(or, finding a common denominator)} \\quad \\frac{5}{8} = \\frac{15}{24} \\quad \\text{and} \\quad \\frac{5}{12} = \\frac{10}{24}
]
Now we compare ( \\frac{15}{24} ) and ( \\frac{10}{24} ):
[
\\frac{15}{24} > \\frac{10}{24}
]
Conclusion:<\/strong> Statement D is false<\/strong>.<\/p>\n\n\n\nSummary<\/h3>\n\n\n\n