Chapter CSB, Problem 1.1E

To determine

To check:whether thegiven pairs of ratios forms a proportion.

Answer to Problem 1.1E

Yes.

Explanation of Solution

Given:

The given pairs of ratiosare $\frac{3}{2},\frac{21}{14}$ .

Calculation:

As the given pairs of ratios are $\frac{3}{2},\frac{21}{14}$ .

Now, to find the factor of the ratio so that to check that each proportion is same or not. Therefore,

  $\begin{array}{l}\frac{3}{2}=\frac{3\times 1}{2\times 1}=\frac{3}{2}\left\{no\text{factor }\right\}\\ \frac{21}{14}=\frac{7\times 3\times 1}{7\times 2\times 1}=\frac{3}{2}\{\text{factor}}\end{array}$

Thus, the factor of each proportion is same.

Hence,yes, the given pairs of ratios forms a proportion.