Chapter 8.1, Problem 24PSC

To determine

To show: That if $\frac{a}{b}=\frac{c}{d}$

, then $\frac{a-b}{b}=\frac{c-d}{d}$

Explanation of Solution

Given information

  $\frac{a}{b}=\frac{c}{d}$

Formula used

On subtracting or adding any number from / to another equivalent ratio, value of the ratios unchanged

Proof

It is given

  $\begin{array}{l}\frac{a}{b}=\frac{c}{d}\\ \Rightarrow \frac{a}{b}-1=\frac{c}{d}-1\\ \Rightarrow \frac{a-b}{b}=\frac{c-d}{d}\end{array}$

which is required

Hence proved