Question

8. Compare the given ratios.
a) 11:15 and 13: 18
b) 3:7 and 5:9
c) 2:5 and 4:11
d) 13:21 and 17: 29
e) 11: 13 and 17:19
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Answer 1

Answer:

(a) 11/15 and 13/18

cross multiply

11×18.and15×13

198>195

therefore, 11/15is greater than 13/18

Answer 2

Answer:

Express the given ratios as fraction

4 : 5 = 4/5 and 2 : 3 =2/3

Now find the L.C.M (least common multiple) of 5 and 3

The L.C.M (least common multiple) of 5 and 3 is 15.

Making the denominator of each fraction equal to 15, we have

4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15

Clearly, 12 > 10

Now, 12/15 > 10/15

Therefore, 4 : 5 > 2 : 3.