Question

Which ratio forms a proportion 12/15

Answer 1

Answer:

$\frac{20}{25}$

Step-by-step explanation:

See Attachment for Complete Question

Given

$Ratio = \frac{12}{15}$

Required

Determine its equivalent proportion

$Ratio = \frac{12}{15}$

Factorize the given expression

$Ratio = \frac{3 * 4}{3 * 5}$

Divide the numerator and denominator by 3

$Ratio = \frac{4}{5}$

We apply the same steps to the given options as follows:

1.

$Ratio = \frac{21}{28}$

Factorize

$Ratio = \frac{7 * 3}{7 * 4}$

Divide the numerator and denominator by 7

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

This is not an equivalent proportion of $\frac{12}{15}$

2.

$Ratio = \frac{20}{25}$

Factorize

$Ratio = \frac{5 * 4}{5 * 5}$

Divide the numerator and denominator by 5

$Ratio = \frac{4}{5}$

This is equivalent to $\frac{12}{15}$ because they both simplify to $\frac{4}{5}$

There's no need to check the last option;

Hence, the option that answers the question is $\frac{20}{25}$