Question

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.

hours

Explanation:

Set up the division expression

$$ \text{Time} = \frac{4}{5} \div \frac{1}{20} $$

Multiply by the reciprocal

$$ \text{Time} = \frac{4}{5} \times 20 $$

Simplify the expression

$$ \text{Time} = 4 \times 4 = 16 $$

Answer:

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.

<blank>16</blank> hours