{"id":44137,"date":"2025-06-30T13:16:30","date_gmt":"2025-06-30T13:16:30","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=44137"},"modified":"2025-06-30T13:16:35","modified_gmt":"2025-06-30T13:16:35","slug":"the-rational-number-does-not-exist-between-1-3-and-and-1-2-is","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-rational-number-does-not-exist-between-1-3-and-and-1-2-is\/","title":{"rendered":"The rational number does not exist between 1\/3\u2009and\u2009and\u20091\/2 is"},"content":{"rendered":"\n

The rational number does not exist between 1\/3\u2009and\u2009and\u20091\/2 is <\/p>\n\n\n\n

A 17\/48 <\/p>\n\n\n\n

B 23\/48 <\/p>\n\n\n\n

C 3\/8 <\/p>\n\n\n\n

D 1\/8<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To find a rational number between 13\\frac{1}{3} and 12\\frac{1}{2}, we first need to express both fractions with a common denominator.<\/p>\n\n\n\n

    \n
  1. Convert the fractions to a common denominator:<\/strong><\/li>\n<\/ol>\n\n\n\n

    The denominators of 13\\frac{1}{3} and 12\\frac{1}{2} are 3 and 2, respectively. The least common denominator (LCD) of 3 and 2 is 6.<\/p>\n\n\n\n

      \n
    • 13\\frac{1}{3} can be rewritten as 26\\frac{2}{6} by multiplying both the numerator and denominator by 2.<\/li>\n\n\n\n
    • 12\\frac{1}{2} can be rewritten as 36\\frac{3}{6} by multiplying both the numerator and denominator by 3.<\/li>\n<\/ul>\n\n\n\n

      So, the fractions are now 26\\frac{2}{6} and 36\\frac{3}{6}, and we are looking for a rational number between them.<\/p>\n\n\n\n

        \n
      1. Find the rational number between them:<\/strong><\/li>\n<\/ol>\n\n\n\n

        Now, we simply need to find a fraction between 26\\frac{2}{6} and 36\\frac{3}{6}. One possible choice is 512\\frac{5}{12}, which lies between the two fractions.<\/p>\n\n\n\n

          \n
        1. Check the options:<\/strong><\/li>\n<\/ol>\n\n\n\n

          We now check the options given:<\/p>\n\n\n\n

            \n
          • 1748\\frac{17}{48} is approximately 0.354, which is between 26\\frac{2}{6} (approximately 0.333) and 36\\frac{3}{6} (0.5), so it is a valid candidate.<\/li>\n\n\n\n
          • 2348\\frac{23}{48} is approximately 0.479, which is also between the two.<\/li>\n\n\n\n
          • 38\\frac{3}{8} is exactly 0.375, which fits as well.<\/li>\n\n\n\n
          • 18\\frac{1}{8} is 0.125, which is too small to fit between 13\\frac{1}{3} and 12\\frac{1}{2}.<\/li>\n<\/ul>\n\n\n\n

            Among the choices, C. 38\\frac{3}{8}<\/strong> is a valid rational number between 13\\frac{1}{3} and 12\\frac{1}{2}. Thus, the correct answer is C. 38\\frac{3}{8}<\/strong>.<\/p>\n\n\n\n

            In conclusion, to find a rational number between two given fractions, it’s often helpful to first find a common denominator and then identify a fraction that falls between them. By comparing the values, we can quickly determine the correct answer.<\/p>\n","protected":false},"excerpt":{"rendered":"

            The rational number does not exist between 1\/3\u2009and\u2009and\u20091\/2 is A 17\/48 B 23\/48 C 3\/8 D 1\/8 The correct answer and explanation is: To find a rational number between 13\\frac{1}{3} and 12\\frac{1}{2}, we first need to express both fractions with a common denominator. The denominators of 13\\frac{1}{3} and 12\\frac{1}{2} are 3 and 2, respectively. The […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-44137","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44137","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=44137"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44137\/revisions"}],"predecessor-version":[{"id":44139,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44137\/revisions\/44139"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=44137"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=44137"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=44137"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}