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To find the unit rate in miles per day, we need to divide the number of miles by the number of days.

We are given:
- The construction crew built \( \frac{1}{2} \) miles.
- This was done in \( \frac{1}{6} \) days.

To find the unit rate (miles per day), we need to divide the distance by the time:

\[
\text{Unit rate} = \frac{\frac{1}{2}}{\frac{1}{6}}
\]

Dividing by a fraction is equivalent to multiplying by the reciprocal, so:

\[
\text{Unit rate} = \frac{1}{2} \times \frac{6}{1} = \frac{6}{2} = 3
\]

Thus, the unit rate is 3 miles per day.

Let me know if you need any further details!

Here are 5 related questions for practice:
1. How many miles would the crew build in 2 days at this rate?
2. What if the crew built \( \frac{3}{4} \) miles in \( \frac{1}{8} \) days? What is the unit rate?
3. How do you divide two fractions?
4. If the time taken increased to \( \frac{1}{4} \) days, what would the new unit rate be?
5. Can you explain why dividing by a fraction involves multiplying by its reciprocal?

**Tip:** Always simplify your fractions for more manageable calculations!

A construction crew built 1/2 miles of road in 1/6 days. What is the unit rate in miles per day? Write your answer in simplest form.

Calculate the unit rate for a construction crew building 1/2 miles of road in 1/6 days. Learn how to divide fractions and simplify the unit rate to miles per day. Suitable for students in Grades 6-8.

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