Question

Match the correct pairs of equivalent ratios.

• A. $5:10$
• B. $9:12$
• C. $3:5$

Answer 1

The first ratio is $1:2$.

To find the equivalent ratio of this, we need to convert all the given ratios in their simple form.

$3:4$ and $3:5$ are already in simple form.

$5:10=\frac{5}{10}$

This can be written as $\frac{5\times 1}{5\times 2}=\frac{1}{2}=1:2$

$9:12=\frac{9}{12}$

This can be written as $\frac{3\times 3}{3\times 4}=\frac{3}{4}=3:4$

$15:25=\frac{15}{25}$

This can be written as $\frac{3\times 5}{5\times 5}=\frac{3}{5}=3:5$

From the above simplification, we can see that $1:2$ is equivalent to $5:10$.

Similarly, $3:4$ is equivalent to $9:12$ and $3:5$ is equivalent to $15:25$.