Jeremy worked for 8 1/2 hours building model airplanes. If each airplane takes him 1 2/5 hours to make, how many models did he build? HELP

To find the number of model airplanes Jeremy built, we need to divide the total number of hours he worked (8 1/2 hours) by the time it takes him to make each airplane (1 2/5 hours).

First, we need to convert 8 1/2 hours to an improper fraction.
8 1/2 = 16/2 + 1/2 = 17/2

We can now divide 17/2 (hours Jeremy worked) by 7/5 (hours it takes him to make each airplane).

(17/2) ÷ (7/5) = 17/2 × 5/7 = (17 × 5)/(2 × 7) = 85/14

Therefore, Jeremy built a total of 85/14 model airplanes.