Question

Check whether the given two ratios forms proportion or not:

$4:6$ and $12:18$

Answer 1

Two ratios forms proportion if their lowest terms are exactly same.

Given ratios are $4:6$ and $12:18$

Lowest term of ratio $4:6$ is obtained by dividing both term by their HCF $2$

$4:6$$=\frac{4}{6}=\frac{2}{3}$

Lowest term of ratio $12:18$ is obtained by dividing both term by their HCF $6$

$12:18$$=\frac{12}{18}=\frac{2}{3}$

Since lowest term for both given ratios are same.

Hence, ratios $4:6$ and $12:18$ forms proportion.