Question

Check whether the given ratios are equal i.e., they are in proportion. If yes, then write them in the proper form $2:9\mathrm{and}18:81$.

Answer 1

We have,

$2:9\mathrm{and}18:81$

$2:9$ is already in its standard form and

$\begin{array}{rcl}18:81& =& \frac{18}{81}\\ & =& \frac{18÷9}{81÷9}[\mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}9]\\ & =& \frac{2}{9}\\ & =& 2:9\end{array}$

We get, $2:9=18:81$

Thus, the given ratios are equal, i.e. they are in proportion and proper form is $2:9::18:81$.