Question

If A : B = 5 : 6 and B : C = 9 : 11, find A : C.

Answer 1

We have $$\frac{A}{B} = \frac{5}{6}$$ and $$\frac{B}{C} = \frac{9}{11}$$.

$$\frac{A}{C} = \frac{A}{B} \times \frac{B}{C} = \frac{5}{6} \times \frac{9}{11} = \frac{15}{22}$$.

Therefore, $$A : C = 15 : 22$$.