Arrange the following rational numbers in descending order :(i) 11/12, 13/18, 5/6, 7/9(ii) -11/20, 3/-10, 17/-30, -7/15(iii) 9/-24, -1, 2/-3, -7/-6(iv) 7/-10, 11/15, -17/-30, -2/5

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(i) We have: The L.C.M. of denominators 12, 18, 6, and 9 is 36. Now, expressing each fraction with denominator 36: Clearly, . Therefore . Hence, the descending order is: . (ii) We have: First, express each with a positive denominator: . The L.C.M. of denominators 20, 10, 30, and 15 is 60. Now, expressing each fraction with denominator 60: Clearly, . Therefore . Hence, the descending order is: . (iii) We have: Expressing with positive denominators: . The L.C.M. of denominators 24, 1, 3, and 6 is 24. Now, expressing each fraction with denominator 24: Clearly, . Therefore . Hence, the descending order is: . (iv) We have: Expressing with positive denominators: . The L.C.M. of denominators 10, 15, 30, and 5 is 30. Now, expressing each fraction with denominator 30: Clearly, . Therefore . Hence, the descending order is: .

Mathematics

Arrange the following rational numbers in descending order :(i) 11/12, 13/18, 5/6, 7/9(ii) -11/20, 3/-10, 17/-30, -7/15(iii) 9/-24, -1, 2/-3, -7/-6(iv) 7/-10, 11/15, -17/-30, -2/5

Rational Numbers

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