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If A and B are in the ratio 3:4 and B and C are in the ratio 12:13, then A and C will be in the ratio _____?

If A and B are in the ratio 3:4 and B and C are in the ratio 12:13, then A and C will be in the ratio _____?

Explanation

Given A:B = 3:4 and B:C = 12:13.

First, make the ratios for B consistent:

A:B = 3:4 = 9:12 (multiplied by 3)

Now, B:C = 12:13

A:B:C = 9:12:13

A:C = 9:13