Francis ran 2 1/5 miles in 7/12 of an hour. How many miles can Francis run in one hour?

1 answer

To find the number of miles Francis can run in one hour, we need to divide the distance he ran by the time it took him to run it.

First, let's convert the mixed number into an improper fraction: 2 1/5 = 11/5

Then, we divide the distance (11/5 miles) by the time (7/12 of an hour):

(11/5 miles) ÷ (7/12 hour) = (11/5) × (12/7) = (11 × 12)/(5 × 7) = 132/35

Lastly, we simplify the fraction and divide the numerator by the denominator to find the exact fraction of miles Francis can run in one hour: 132/35 = 3 12/35

Therefore, Francis can run 3 12/35 miles in one hour.