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a. 9/7 < 57/42

9/7 = (9 x 6) / (7 x 6) = 54/42

57/42

b. - 16/3 > - 23/4

- 16/3 = (- 16 x 4) / (3 x 4) = - 64/12

- 23/4 = (- 23 x 3) / (4 x 3) = - 69/12

c. - 5/8 > - 19/24

- 5/8 = (- 5 x 3) / (8 x 3) = - 15/24

- 19/24

d. - 7/5 > - 3/2

- 7/5 = (- 7 x 2) / (5 x 2) = - 14/10

- 3/2 = (- 3 x 5) / (2 x 5) = - 15/10

e. 7/15 > 5/12

7/15 = (7 x 4) / (15 x 4) = 28/60

5/12 = (5 x 5) / (12 x 5) = 25/60

f. 7/12 < 7/9

7/12 = (7 x 3) / (12 x 3) = 21/36

7/9 = (7 x 4) / (9 x 4) = 28/36