Question

a construction crew has just finished building a road. the crew worked for 9 days. if they built $4\frac{1}{6}$ kilometers of road each day, what is the total length of road they built?
write your answer as a mixed number in simplest form.
\boxed{\text{kilometers}}

Explanation:

Step1: Convert mixed number to improper fraction

$4\frac{1}{6} = \frac{4\times6 + 1}{6} = \frac{25}{6}$

Step2: Multiply by number of work days

$\text{Total length} = \frac{25}{6} \times 9 = \frac{225}{6}$

Step3: Simplify the fraction

$\frac{225}{6} = \frac{75}{2}$

Step4: Convert back to mixed number

$\frac{75}{2} = 37\frac{1}{2}$

Answer:

$37\frac{1}{2}$ kilometers