Question

Write three equivalent ratios of the ratio $9:15$

Answer 1

Finding the equivalent ratios :

To find the equivalent ratios first we need to convert the given ratio into the fraction.i.e. $9:15=\frac{9}{15}$.

Now, we find an equivalent fraction of these by multiplying numerator and denominators with the same number.

$$\begin{gathered} \frac{9}{15}=\frac{9\times 2}{15\times 2}=\frac{18}{30} \\ \frac{9}{15}=\frac{9\times 3}{15\times 3}=\frac{27}{45} \\ \frac{9}{15}=\frac{9\times 4}{15\times 4}=\frac{36}{60} \end{gathered}$$

Hence, the equivalent ratios are $18:30,27:45,36:60$.