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?


`(1)/(6) = (1*2)/(6*2) = (2)/(12)`


`(3)/(4) = (3*3)/(4*3) = (9)/(12)`


so, if every day he paints


`(2)/(12)`

then after the second day he will have

`(4)/(12)`

after the third



`(6)/(12)`

after the forth



`(8)/(12)`

and in the middle of the firth day he will have



`(9)/(12)`, or 3/4!

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