Arrange the following rational numbers in ascending order : (i) 3/4, 5/8, 11/16, 21/32(ii) -2/5, 7/-10, -8/15, 17/-30(iii) 5/-12, -2/3, -7/9, 11/-18(iv) -4/7, 13/-28, 9/14, 23/42

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(i) We have: First we find the L.C.M. L.C.M. of denominators 4, 8, 16, and 32 is 32. Now, expressing each fraction with denominator 32: Clearly, . Therefore Hence, the ascending order is: . (ii) We have: First, express each rational number with a positive denominator: . The L.C.M. of denominators 5, 10, 15, and 30 is 30. Now, expressing each fraction with denominator 30: Clearly, . Therefore Hence, the ascending order is: . (iii) We have: Expressing with positive denominators: . The L.C.M. denominators of 12, 3, 9, and 18 is 36. Now, expressing each fraction with denominator 36: Clearly, . Therefore . Hence, the ascending order is: . (iv) We have: Expressing with positive denominators: . The L.C.M. of denominators 7, 28, 14, and 42 is 84. Now, expressing each fraction with denominator 84: Clearly, . Therefore . Hence, the ascending order is: .

Mathematics

Arrange the following rational numbers in ascending order : (i) 3/4, 5/8, 11/16, 21/32(ii) -2/5, 7/-10, -8/15, 17/-30(iii) 5/-12, -2/3, -7/9, 11/-18(iv) -4/7, 13/-28, 9/14, 23/42

Rational Numbers

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