Question

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?(1 point) Responses 6 1/14 models 6 Start Fraction 1 over 14 End Fraction models 10/119 of a model Start Fraction 10 over 119 End Fraction of a model 11 9/10 models 11 Start Fraction 9 over 10 End Fraction models 14/85 of a model Start Fraction 14 over 85 End Fraction of a model

Answer 1

To find out how many models Jeremy built, we need to divide the total hours he worked by the hours it took to build each model.

1. Convert 8 1/2 hours into an improper fraction: \[ 8 \frac{1}{2} = 8 + \frac{1}{2} = \frac{16}{2} + \frac{1}{2} = \frac{17}{2} \]

2. Convert 1 2/5 hours into an improper fraction: \[ 1 \frac{2}{5} = 1 + \frac{2}{5} = \frac{5}{5} + \frac{2}{5} = \frac{7}{5} \]

3. Now, divide the total hours by the hours per model: \[ \text{Number of models} = \frac{17/2}{7/5} = \frac{17}{2} \times \frac{5}{7} = \frac{17 \times 5}{2 \times 7} = \frac{85}{14} \]

4. Simplify \(\frac{85}{14}\) to a mixed number: \[ 85 \div 14 = 6 \quad \text{remainder } 1 \] This gives: \[ 6 \frac{1}{14} \]

Therefore, Jeremy built \(6 \frac{1}{14}\) models.

The response is: 6 1/14 models.