Question

Paige mows 1/6 acre in 1/4 hour. How many acres can she mow per hour

Answer 1

(1/6) / (1/4) = x / 1....1/6 acre to 1/4 hr = x acres to 1 hr
cross multiply because this is a proportion
(1/4)(x) = (1/6)(1)
1/4x = 1/6
x = 1/6 * 4/1
x = 4/6 which reduces to 2/3....so she can mow 2/3 of an acre in 1 hr <=

Answer 2

there are 4 1/4 hours per 1 hour

 so 1/6 x 4 = 4/6 which reduces to  2/3