Question

Darcy harvests 8 3/4 acres of corn every 5/6 of an hour. Darcy harvests corn at a constant rate. How many acres does she harvest per hour.

Answer 1

Answer: 10 1/2, which can be simplified as 10.5

Explanation: First, set up a proportion with acres of corn to time in hours:

8 3/4 acres = x acres

5/6 hour = 1 hour

Reorder the terms:

x = (8 3/4) / (5/6)

To figure that out the math, change the mixed fraction to an improper fraction, and change the division into a multiplication:

x = (35/4) * (6/5)

Next cancel out:

x = (7/2) * (3/1)

x = 21/2

Lower that faction the the lowest denominator:

21/2 = 10½

Thus, your answer is 10½, or in other words 10.5

Hope this helps! :)