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

(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 <=

there are 4 1/4 hours per 1 hour

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