Question

A : B = 7 : 5

B : C = 9 : 14 ,

find A : C​

Answer 1

9 : 10

Step-by-step explanation:

A : B = A/B = 7/5

B : C = B/C = 9/14

Find the L.C.M of 5 and 9 as both of them represent B

L.C.M of 5 and 9 is 45

So, To Equalize A/B and B/C,

7/5 × 9/9 and 9/14 × 5/5 ----> As per L.C.M Property

So, A/B = 63/45

B/C = 45/70

As B is equalized in both the ratios, We can say that

A = 63 and C = 70 so,

A/C = 63/70 = 9/10 (Simplified Ratio)

☆ Therefore, A : C = 9 : 10