Question

Which of the following pairs of ratios are equivalent?

1) 38 : 133 and 16 : 56 , 2) 15 : 20 and 28 : 56

Answer 1

38 : 133 and 16 : 56 are equivalent

Explanation:

Given

1)
`38 : 133` and
`16 : 56`

2)
`15 : 20` and
`28 : 56`

Required

Determine which is equivalent

1)
`38 : 133` and
`16 : 56`

`Ratio = 38 : 133`

Divide by 19

`Ratio = 2:7` --- can't be further simplified

`Ratio = 16 : 56`

Divide by 8

`Ratio = 2:7`

Hence:

`38 : 133` and
`16 : 56` are equivalent

2)
`15 : 20` and
`28 : 56`

`Ratio = 15 : 20`

Divide by 5

`Ratio = 3 : 4`

`Ratio = 28 : 56`

Divide by 28

`Ratio = 1:2`

Hence, both are not equivalent.