Chapter 7.2, Problem 29WE

To determine

Show that the given proportions are equivalent.

Explanation of Solution

Given information:

The given proportion is $\frac{a}{b}=\frac{c}{d}$ .

Formula used: 

Two proportional are said to be equivalent if one can be obtained from the other.

Proof:

It is given $\frac{a}{b}=\frac{c}{d}$

Two proportional are said to be equivalent if one can be obtained from the other.

Again $\frac{a}{b}=\frac{c}{d}$

Adding 1 on both sides doesn’t change the proportion.

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

Therefore, the given proportion is equivalent.