Question

Check whether the given ratios are equal i.e., they are in proportion. If yes, then write them in the proper form $15:45\mathrm{and}5:25$

Answer 1

We have,

$15:45\mathrm{and}5:25$

$\begin{array}{rcl}15:45& =& \frac{15}{45}\\ & =& \frac{15÷15}{45÷15}[\mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}15]\\ & =& \frac{1}{3}\\ & =& 1:3\end{array}$

$\begin{array}{rcl}5:25& =& \frac{5}{25}\\ & =& \frac{5÷5}{25÷5}[\mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}5]\\ & =& \frac{1}{5}\\ & =& 1:5\end{array}$

We get, $1:3\ne 1:5$

Hence, the two ratios aren't equal i.e. they are not in proportion.