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

Answer:

4.5 days.

Step-by-step 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 $\frac{1}{6}n$.

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

$\frac{1}{6}n=\frac{3}{4}$

$\frac{6}{1}\times \frac{1}{6}n=\frac{6}{1}\times\frac{3}{4}$

$n=\frac{6\times3}{4}$

$n=\frac{18}{4}$

$n=\frac{9}{2}$

$n=4.5$

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

Answer 2

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! :)