Question

Check whether the given two ratios forms proportion or not:

$14:4$ and $18:6$

Answer 1

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

Given ratios are $14:4$ and $18:6$

Lowest term of ratio $14:4$ is obtained by dividing both term by their HCF $2$

$14:4$$=\frac{14}{4}=\frac{7}{2}$

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

$18:6$$=\frac{18}{6}=\frac{3}{1}$

Since lowest term for both given ratios are not same.

Hence, ratios $14:4$ and $18:6$ do not forms proportion.