Question

Trevor paints 1/6 of the fence surrounding his farm each day.How many days will it take him to paint 3/4 of the fence

Answer 1

3/4 / 1/6 = (3*6)/(4*1) = 18/4

18/4 = 4.5

It will take him 4.5 days to paint 3/4 of the fence.

Hope this helps! :)

Answer 2

4.5 days.

Explanation:

Let n represent number of days it will take Trevor to paint 3/4 of the fence.

We have been given that Trevor paints 1/6 of the fence surrounding his farm each day. So part of fence painted in n days would be
`(1)/(6)n`.

As Trevor needs to paint 3/4 of the fence, so we can set an equation as:

`(1)/(6)n=(3)/(4)`

`(6)/(1)* (1)/(6)n=(6)/(1)*(3)/(4)`

`n=(6*3)/(4)`

`n=(18)/(4)`

`n=(9)/(2)`

`n=4.5`

Therefore, it will take Trevor 4.5 days to paint 3/4 of the fence.