Question

Find the reciprocal ratio of $\frac{x}{m}:\frac{y}{n}$.

Answer 1

Find the reciprocal ratio:

We know, reciprocal ratio of $a:b=\frac{1}{a:b}$

Required Reciprocal ratio is,

$$\begin{gathered} =\frac{1}{{\displaystyle \frac{x}{m}}:{\displaystyle \frac{y}{n}}} \\ =\frac{1}{{\displaystyle xn:ym}} \\ =\frac{1}{{\displaystyle \frac{xn}{ym}}} \\ =\frac{ym}{xn} \\ =ym:xn \end{gathered}$$

Hence, reciprocal ratio is $\mathit{y}\mathit{m}\mathbf{:}\mathit{x}\mathit{n}$.