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The problem you're working on asks to calculate the unit rate of Chen's biking speed, given that Chen bikes \( 2 \frac{1}{2} \) miles in \( \frac{5}{12} \) of an hour.

To calculate the unit rate (miles per hour), follow these steps:

1. **Convert mixed fraction to improper fraction**:  
   \[
   2 \frac{1}{2} = \frac{5}{2} \text{ miles}
   \]

2. **Set up the unit rate calculation**:  
   The unit rate is the distance divided by the time:
   \[
   \text{Unit rate} = \frac{\frac{5}{2} \text{ miles}}{\frac{5}{12} \text{ hours}}
   \]

3. **Divide the fractions**:  
   Dividing by a fraction is the same as multiplying by its reciprocal:
   \[
   \frac{5}{2} \div \frac{5}{12} = \frac{5}{2} \times \frac{12}{5}
   \]

4. **Simplify the expression**:  
   The \( 5 \)'s cancel out, leaving:
   \[
   \frac{12}{2} = 6
   \]

So, Chen's unit rate is **6 miles per hour**.

The answer you entered (1.04 miles per hour) is incorrect. The correct answer is 6 miles per hour.

Do you need further details or clarifications? Here are 5 related questions to practice:

1. How do you convert a mixed fraction into an improper fraction?
2. How do you divide fractions in general?
3. If Chen biked 3 miles in \( \frac{3}{4} \) of an hour, what would his speed be?
4. What is the significance of unit rate in real-world problems?
5. How can simplifying fractions help in solving rates and ratios?

**Tip**: When dividing by a fraction, remember to multiply by its reciprocal!

Chen bikes 2 1/2 miles in 5/12 hour. What is Chen's unit rate in miles per hour?

Learn how to calculate the unit rate of Chen's biking speed. Chen bikes 2 1/2 miles in 5/12 of an hour, and this problem walks through how to solve for his speed using division of fractions. Perfect for students in grades 6-8.

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