Question

Sasha can mow 3/8 of an acre of grass in 45 minutes how many acres of grass sasha mow per hour

Answer 1

Yang has a great explanation, but I figured to show an alternate way if you're curious.

She can mow 3/8 of an acre in 45 minutes. So we can effectively write this ratio

3/8 acre: 45 minutes

Divide both sides by 45 so that "45 minutes" turns into "1 minute". Dividing by 45 is the same as multiplying by (1/45) so I'll use this fraction because of the 3/8 fraction

So we have

(1/45)*(3/8) acre: (1/45)*45 minutes

1/120 acre: 1 minute

meaning that Sasha can mow 1/120 of an acre in 1 minute

----------

The last step is to multiply both sides of this ratio by 60 so that we turn that "1 minute" into "60 minutes". Afterward we replace "60 minutes" with "1 hour"

1/120 acre: 1 minute

60*(1/120) acre: 60*1 minute

60/120 acre: 60 minutes

1/2 acre: 1 hour

So this is another way to show that Sasha can mow 1/2 an acre in one hour

Answer 2

1/2 acre of grass per hour

Explanation:

1 hour=60 minutes

(3/8)/45=x/60

cross product

45*x=(3/8)(60)

45x=180/8

45x=22.5

x=22.5/45

x=1/2