Jeremy worked for 8 1/2

Question

hours building model airplanes. If each airplane takes him 1 2/5
hours to make, how many models did he build?(1 point)

Answer 1

To find out how many model airplanes Jeremy built, we can divide the total time he worked by the time it takes to build one airplane.

First, let's convert the mixed numbers into improper fractions:

1. Convert \( 8 \frac{1}{2} \) hours: \[ 8 \frac{1}{2} = \frac{17}{2} \text{ hours} \quad (\text{since } 8 \times 2 + 1 = 17) \]

2. Convert \( 1 \frac{2}{5} \) hours: \[ 1 \frac{2}{5} = \frac{7}{5} \text{ hours} \quad (\text{since } 1 \times 5 + 2 = 7) \]

Now we can divide the total hours by the time taken for one airplane: \[ \text{Number of airplanes} = \frac{\text{Total time}}{\text{Time per airplane}} = \frac{\frac{17}{2}}{\frac{7}{5}} \]

To divide by a fraction, we multiply by its reciprocal: \[ \frac{17}{2} \div \frac{7}{5} = \frac{17}{2} \times \frac{5}{7} = \frac{17 \times 5}{2 \times 7} = \frac{85}{14} \]

Now we can simplify \( \frac{85}{14} \): \[ 85 ÷ 14 = 6 \quad \text{with a remainder of } 1 \] So \( \frac{85}{14} = 6 \frac{1}{14} \).

Therefore, Jeremy built 6 model airplanes.