Question

Tell whether the Ratios 1 : 3 and 4 : 12 are equivalent?

Answer 1

Answer:

Yes, they are.

Step-by-step explanation:

They ate equivalent because 4:12 can be simplified to get 1:3.

Answer 2

Answer:

Step-by-step explanation:

1:3 can be written as $\frac{1}{3}$

and

4:12 can be written as $\frac{4}{12}$

now we have to simplify the above fractions to the lowest form

$\frac{1}{3}$ is already in its simplest form as it cannot be divided any further to get the answer as a whole no. so we leave it like that.

$\frac{4}{12}$ can be simplified further as we can divide the numerator and denominator by 4 and we would get the answer as $\frac{1}{3}$

now if we compare both fractions we get

$\frac{1}{3}$ = $\frac{1}{3}$

therefore both ratios are equal