Question

S, T and U are three numbers. The ratio of S to T is 3:4 andT to U is 6:7. What is the ratio of S to U​

Answer 1

Ratio of S and T

S:T = 3:4

$\frac{S}{T} = \frac{3}{4}$

Ratio of T and U

T:U = 6:7

$\frac{T}{U} = \frac{6}{7}$

Ratio of S and U

S:U =

$\frac{S}{U} = \frac{S}{T} \frac{T}{U}\\\\= \frac{3}{4} \frac{6}{7} \\\\= \frac{9}{14}$