{"id":243266,"date":"2025-07-04T13:16:25","date_gmt":"2025-07-04T13:16:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=243266"},"modified":"2025-07-04T13:16:27","modified_gmt":"2025-07-04T13:16:27","slug":"which-set-of-fractions-is-ordered-from-least-to-greatest","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/which-set-of-fractions-is-ordered-from-least-to-greatest\/","title":{"rendered":"Which set of fractions is ordered from least to greatest"},"content":{"rendered":"\n

Which set of fractions is ordered from least to greatest? A) 5\/8, 8\/12, 3\/4 B) 8\/12, 5\/8, 3\/4 C) 3\/4, 5\/8, 8\/12 D) 5\/8, 3\/4, 8\/12<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The correct answer is A) 5\/8, 8\/12, 3\/4<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To order fractions from least to greatest, we need to compare their values. A common method is to convert each fraction to a decimal or find a common denominator.<\/p>\n\n\n\n

    \n
  1. Convert each fraction to a decimal<\/strong>:
    • 58=0.625\\frac{5}{8} = 0.62585\u200b=0.625<\/li>
    • 812=23=0.6667\\frac{8}{12} = \\frac{2}{3} = 0.6667128\u200b=32\u200b=0.6667 (rounded)<\/li>
    • 34=0.75\\frac{3}{4} = 0.7543\u200b=0.75<\/li><\/ul>In decimal form, the fractions are:
      • 0.6250.6250.625 (for 58\\frac{5}{8}85\u200b)<\/li>
      • 0.66670.66670.6667 (for 812\\frac{8}{12}128\u200b)<\/li>
      • 0.750.750.75 (for 34\\frac{3}{4}43\u200b)<\/li><\/ul>So, the order from least to greatest is:\n
          \n
        • 58<812<34\\frac{5}{8} < \\frac{8}{12} < \\frac{3}{4}85\u200b<128\u200b<43\u200b.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
        • Verify using a common denominator<\/strong>:
          The least common denominator (LCD) of 8, 12, and 4 is 24. We can rewrite each fraction with a denominator of 24:
          • 58=1524\\frac{5}{8} = \\frac{15}{24}85\u200b=2415\u200b<\/li>
          • 812=1624\\frac{8}{12} = \\frac{16}{24}128\u200b=2416\u200b<\/li>
          • 34=1824\\frac{3}{4} = \\frac{18}{24}43\u200b=2418\u200b<\/li><\/ul>Again, the order is:\n
              \n
            • 1524<1624<1824\\frac{15}{24} < \\frac{16}{24} < \\frac{18}{24}2415\u200b<2416\u200b<2418\u200b, which corresponds to 58<812<34\\frac{5}{8} < \\frac{8}{12} < \\frac{3}{4}85\u200b<128\u200b<43\u200b.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n

              Thus, the correct answer is A) 5\/8, 8\/12, 3\/4<\/strong>.<\/p>\n\n\n\n

              \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

              Which set of fractions is ordered from least to greatest? A) 5\/8, 8\/12, 3\/4 B) 8\/12, 5\/8, 3\/4 C) 3\/4, 5\/8, 8\/12 D) 5\/8, 3\/4, 8\/12 The Correct Answer and Explanation is: The correct answer is A) 5\/8, 8\/12, 3\/4. Explanation: To order fractions from least to greatest, we need to compare their values. 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-243266","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243266","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=243266"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243266\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=243266"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=243266"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=243266"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}