Question

Check whether the given ratios are equal i.e., they are in proportion. If yes, then write them in the proper form $1:5\mathrm{and}3:15$.

Answer 1

We have,

$1:5\mathrm{and}3:15$

$1:5$ is already in its standard form and

$\begin{array}{rcl}3:15& =& \frac{3}{15}\\ & =& \frac{3÷3}{15÷3}[\mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}3]\\ & =& \frac{1}{5}\\ & =& 1:5\end{array}$

We get, $1:5=3:15$

Thus, the given ratios are equal, i.e. they are in proportion and proper form is $1:5::3:15$.