Question

a road crew must repave a road that is \\(\frac{3}{8}\\) miles long. they can repave \\(\frac{1}{48}\\) miles each hour. how long will it take the crew to repave the road?
write your answer in simplest form.
\\(\square\\) hours

Explanation:

Step1: Set up division for time

Time = Total length ÷ Rate, so $\frac{3}{8} \div \frac{1}{48}$

Step2: Rewrite as multiplication by reciprocal

Dividing by a fraction = multiply by its reciprocal: $\frac{3}{8} \times 48$

Step3: Simplify and calculate

Simplify $48 \div 8 = 6$, then $3 \times 6 = 18$

Answer:

18 hours