It appears there may be some confusion in your question. You mentioned Jeremy worked for 8 1/2 hours building model airplanes, and it takes him 1 2/5 hours to make each airplane, but then you asked how many miles he built. Since the question is likely about how many airplanes he built rather than miles, let's focus on that.
-
Convert 8 1/2 hours to an improper fraction:
\( 8 \frac{1}{2} = \frac{17}{2} \) hours.
-
Convert 1 2/5 hours to an improper fraction:
\( 1 \frac{2}{5} = \frac{7}{5} \) hours.
-
Now, divide the total time he worked by the time it takes to make one airplane:
\[ \text{Number of airplanes} = \frac{\text{Total time}}{\text{Time per airplane}} = \frac{\frac{17}{2}}{\frac{7}{5}} \]
When dividing fractions, multiply by the reciprocal:
\[ = \frac{17}{2} \times \frac{5}{7} = \frac{85}{14} \]
-
Convert \(\frac{85}{14}\) to a mixed number:
\[ 85 \div 14 = 6 \text{ R } 1 \quad \text{(since 6 * 14 = 84)} \]
Thus, \( \frac{85}{14} = 6 \frac{1}{14} \).
Therefore, Jeremy built 6 1/14 airplanes.
If you were asking about distance rather than airplanes, please clarify, and I would be happy to assist you further!
3 answers