Question

Select all that apply. Which of the following are proportions? 25/10=5/2,3/4=8/10,2/8=3/12,3/4=15/20

Answer 1

Answer: see pic below

Explanation:

Answer 2

`(25)/(10) = (5)/(2)` is in proportion.

`(3)/(4) = (8)/(10)` is not in proportion.

`(2)/(8) = (3)/(12)` is in proportion.

`(3)/(4) = (15)/(20)` is in proportion.

Explanation:

The first example is
`(25)/(10) = (5)/(2)` and it is in proportion.

This is because, you will get the same simplest fraction (
`(5)/(2)`) from the fraction
`(25)/(10)` by dividing its numerator and denominator by 5.

The second example is
`(3)/(4) = (8)/(10)` and it is not in proportion.

This is because, you can not get the simplest fraction (
`(3)/(4)`) from the fraction
`(8)/(10)` after simplification.

The third example is
`(2)/(8) = (3)/(12)` and it is in proportion.

This is because, you will get the same simplest fraction (
`(1)/(4)`) from the fraction
`(2)/(8)` by dividing its numerator and denominator by 2 and from the fraction
`(3)/(12)` by dividing its numerator and denominator by 3.

The fourth example is
`(3)/(4) = (15)/(20)` and it is in proportion.

This is because, you will get the same simplest fraction (
`(3)/(4)`) from the fraction
`(15)/(20)` by dividing its numerator and denominator by 5. (Answer)