Question

Are the following ratios equivalent ?

$18:24$ ; $3:4$ ; $12:16$

Answer 1

To find whether the given ratios are equivalent or not :

Let us write given ratio into fraction .

$18:24=\frac{18}{24}$

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

$12:16=\frac{12}{16}$

Now, we have to find the common factors that divide the numerator and denominator evenly and hence we get the simplified form of fractions.

$18:24=\frac{18}{24}=\frac{18÷6}{24÷6}=\frac{3}{4}$

$3:4=\frac{3}{4}$ ( They have no common factor other than one )

$12:16=\frac{12}{16}=\frac{12÷4}{16÷4}=\frac{3}{4}$

Thus, we can see all the above fractions are equivalent since their simplified forms are the same.

Therefore, the given ratios are also equivalent to each other.