Word problem Involving fractions and division A road crew must repave a road that is \( \frac{4}{5} \) miles long. They can repave \( \frac{1}{20} \) miles each hour. How long will it take the crew to repave the road? Write your answer in simplest form.
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The Deep Dive
To find out how long it will take the crew to repave the road, we need to divide the total length of the road, \( \frac{4}{5} \) miles, by the rate at which they can repave, \( \frac{1}{20} \) miles per hour. So we perform the division: \[ \frac{4}{5} \div \frac{1}{20} = \frac{4}{5} \times \frac{20}{1} = \frac{4 \times 20}{5 \times 1} = \frac{80}{5} = 16 \] Thus, it will take the crew 16 hours to repave the road. The simplest form of this answer is 16.
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