Question

If the ratio of a to be is 2:3 and the ratio of c to b is 3:4, which of the following is equal to the ratio of a to c?

a. 1/2
b. 2/3
c. 3/4
d. 8/9
e. 9/10

Answer 1

Given that, a : b = 2 : 3 ,

c : b = 3 : 4.

and we need to find a:c.

So, let's make b's (3 and 4) equal in both the ratios so that we can eliminate b to get a:c.

LCM of 3 and 4 is 12. So, we need to make both the b's equal to 12.

In first ratio b is 3. So, we need to multiply the first ratio by 4 to get 12.

So, a:b = 2 : 3 = 2*4 : 3*4 = 8 : 12

Similarly c : b = 3: 4 = 3*3 : 4* 3 = 9 : 12

So, a: b : c = 8: 12 : 9.

Hence, the correct choice is d) a: c = 8 : 9

I hope this helps to you!