Answer :

So,

Let "the number of acres Paige mows per hour" be x.

1/6 = 1/4x
1/6 = x/4
(multiply both sides by 4)
4/6 = x
2/3 = x

Paige mows 2/3 acres per hour.

Paige mows 1/6 acre in 1/4 hour

we need to find out how many acres she can mow in 1 hour

1/4 hour is when 1 hour is divided into 4 equal parts

within 1/4 hour she mows 1/6 acre

so to find how much she will mow in 1 hour we have to multiply 1/6 acres by 4

so 1/4 hour she mows - 1/6 acre

then 1 hour she mows - [tex] \frac{1}{6}* 4 = \frac{4}{6} = \frac{2}{3} [/tex]

she mows 2/3 acre in 1 hour