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
Answers
GPT-4o mini
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**.
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**.