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A construction crew has just finished building a road. The road is
6(3)/(5) kilometers long. If the crew worked for 3 days, how many kilometers of road did they build each day? (Assume they built the same amount each day.)
Write your answer as a mixed number in simplest form.

A construction crew has just finished building a road. The road is $6 \frac{3}{5}$ kilometers long. If the crew worked for $3$ days, how many kilometers of road did they build each day? (Assume they built the same amount each day.) $\newline$ Write your answer as a mixed number in simplest form.

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Multiply fractions by whole numbers: word problems

Full solution

Q. A construction crew has just finished building a road. The road is

6 \frac{3}{5}

kilometers long. If the crew worked for

3

days, how many kilometers of road did they build each day? (Assume they built the same amount each day.)

\newline

Write your answer as a mixed number in simplest form.

Convert to Improper Fraction: First, we need to convert the mixed number $6\frac{3}{5}$ kilometers into an improper fraction to make the division easier. $\newline$ $6\frac{3}{5} = \left(6 \times 5 + 3\right)/5 = \left(30 + 3\right)/5 = \frac{33}{5}$ kilometers.
Find Daily Progress: Next, divide the total length of the road by the number of days worked to find the daily progress. $\frac{33}{5}$ kilometers $\div$ $3$ days = $\left(\frac{33}{5}\right) \div 3 = \frac{33}{5} \times \frac{1}{3} = \frac{33}{15}$ kilometers per day.
Simplify Fraction: Simplify the fraction $\frac{33}{15}$ to its simplest form. $\newline$ $\frac{33}{15} = \frac{11}{5}$ , which is $2\frac{1}{5}$ as a mixed number.

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Question

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