Question

Which ratio forms a proportion 12/15

Answer 1

`(20)/(25)`

Explanation:

See Attachment for Complete Question

Given

`Ratio = (12)/(15)`

Required

Determine its equivalent proportion

`Ratio = (12)/(15)`

Factorize the given expression

`Ratio = (3 * 4)/(3 * 5)`

Divide the numerator and denominator by 3

`Ratio = (4)/(5)`

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

1.

`Ratio = (21)/(28)`

Factorize

`Ratio = (7 * 3)/(7 * 4)`

Divide the numerator and denominator by 7

`Ratio = (3)/(4)`

This is not an equivalent proportion of
`(12)/(15)`

2.

`Ratio = (20)/(25)`

Factorize

`Ratio = (5 * 4)/(5 * 5)`

Divide the numerator and denominator by 5

`Ratio = (4)/(5)`

This is equivalent to
`(12)/(15)` because they both simplify to
`(4)/(5)`

There's no need to check the last option;

Hence, the option that answers the question is
`(20)/(25)`