Question

Write three equivalent ratios for the following:

$2:9=\_\_\_=\_\_\_=\_\_\_$

Answer 1

Equivalent ratios are the ratios obtained by multiplying with the same number in both the given terms.

Given ratios is $2:9$

Equivalent ratio of $2:9$ $=(2\times 2):(9\times 2)=4:18$ ( Multiply with $2$ in both terms)

Similarly $(2\times 3):(9\times 3)=6:27$ ( Multiply with $3$ in both terms)

and, $(2\times 4):(9\times 4)=8:36$ ( Multiply with $4$ in both terms)

Hence, three equivalent ratio of $2:9$ is $4:18,6:27,8:36$