A construction crew has just finished building a road. The road is \( 6 \frac{2}{7} \) kilometers long. If the crew worked for 4 days, how many kilometers of road did they bulld each day? (Assume they built the same amount each day.) Write your answer as a mixed number in simplest lorm. kilometers

To find out how many kilometers of road the crew built each day, we need to divide the total length of the road, \( 6 \frac{2}{7} \) kilometers, by the number of days, which is 4. First, convert \( 6 \frac{2}{7} \) to an improper fraction: \[ 6 \frac{2}{7} = \frac{6 \times 7 + 2}{7} = \frac{42 + 2}{7} = \frac{44}{7} \] Now, divide \( \frac{44}{7} \) by 4. Dividing by a whole number can be done by multiplying by its reciprocal: \[ \frac{44}{7} \div 4 = \frac{44}{7} \times \frac{1}{4} = \frac{44 \times 1}{7 \times 4} = \frac{44}{28} \] Next, simplify \( \frac{44}{28} \): \[ \frac{44 \div 4}{28 \div 4} = \frac{11}{7} \] Now, convert \( \frac{11}{7} \) to a mixed number: \[ \frac{11}{7} = 1 \frac{4}{7} \] Thus, the crew built each day \( \boxed{1 \frac{4}{7}} \) kilometers of road.