Question

Find the reciprocal ratio of the following:
i) $\frac{17}{45}:\frac{51}{27}$

Answer 1

Given: $\frac{17}{45}:\frac{51}{27}$

$=\frac{\frac{17}{45}}{\frac{51}{27}}$

$=\frac{17\times 27}{45\times 51}$

$=\frac{17\times 9\times 3}{9\times 5\times 17\times 3}$

$=\frac{1}{5}$

So the reciprocal ratio of$\frac{17}{45}:\frac{51}{27}$ is,

$=\frac{5}{1}$

Hence, the reciprocal ratio of $\frac{17}{45}:\frac{51}{27}\text{is}5:1$.