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We are given that a construction crew built a road that is 12 kilometers long, and they worked for \( 5 \frac{2}{5} \) days. The question asks how many kilometers they built each day, assuming they built the same amount daily. We need to write the answer as a mixed number in its simplest form.

### Steps to solve:

1. **Convert the mixed number to an improper fraction**:
   \( 5 \frac{2}{5} \) days can be written as:
   \[
   5 \frac{2}{5} = \frac{5 \times 5 + 2}{5} = \frac{25 + 2}{5} = \frac{27}{5}
   \]

2. **Find the kilometers built per day**:
   They built 12 kilometers over \( \frac{27}{5} \) days. To find how many kilometers they built per day, we divide the total kilometers by the total days:
   \[
   \text{Kilometers per day} = \frac{12}{\frac{27}{5}} = 12 \times \frac{5}{27} = \frac{60}{27}
   \]

3. **Simplify the fraction**:
   To simplify \( \frac{60}{27} \), find the greatest common divisor (GCD) of 60 and 27, which is 3:
   \[
   \frac{60}{27} = \frac{60 \div 3}{27 \div 3} = \frac{20}{9}
   \]

4. **Convert to a mixed number**:
   Now convert \( \frac{20}{9} \) to a mixed number:
   \[
   20 \div 9 = 2 \text{ remainder } 2 \quad \text{so} \quad \frac{20}{9} = 2 \frac{2}{9}
   \]

Thus, the construction crew built \( 2 \frac{2}{9} \) kilometers per day.

Would you like more details on any step? Here are some related questions:

1. How do you convert improper fractions to mixed numbers?
2. Why do we divide the total kilometers by the number of days worked?
3. How do you simplify fractions by finding the greatest common divisor?
4. What is the general process for solving word problems involving fractions?
5. How can we verify the answer once the solution is complete?

**Tip**: When working with mixed numbers, always remember to convert them to improper fractions for easier calculation.

A construction crew has just finished building a road. The road is 12 kilometers long. If the crew worked for 5 2/5 days, how many kilometers of road did they build each day? Write your answer as a mixed number in simplest form.

Solve how many kilometers a construction crew built per day if they completed a 12 km road in 5 2/5 days. This problem involves fraction division and converting to mixed numbers in its simplest form.

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