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

let's bring both fractions to the same form ok?

$\frac{1}{6} = \frac{1*2}{6*2} = \frac{2}{12}$

$\frac{3}{4} = \frac{3*3}{4*3} = \frac{9}{12}$


so, if every day he paints

$\frac{2}{12}$

then after the second day he will have
$\frac{4}{12}$

after the third


$\frac{6}{12}$

after the forth


$\frac{8}{12}$

and in the middle of the firth day he will have


$\frac{9}{12}$, or 3/4!

(alternatively 9/2=4.5, so he needs 4 and a half days)