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To solve this problem, let’s break down the information provided:

1. Kyle took \( \frac{1}{5} \) of a minute to eat \( \frac{1}{2} \) of a pie.
2. We need to find out how many pies Kyle can eat per minute.

To find the rate in pies per minute, we can set up a proportion based on the information:

\[
\text{Rate of eating pies per minute} = \frac{\text{Amount of pie eaten}}{\text{Time taken}}
\]

Substitute the values:

\[
\text{Rate} = \frac{\frac{1}{2} \text{ pie}}{\frac{1}{5} \text{ minute}} = \frac{1}{2} \div \frac{1}{5}
\]

Dividing by a fraction is the same as multiplying by its reciprocal:

\[
\text{Rate} = \frac{1}{2} \times \frac{5}{1} = \frac{5}{2} = 2 \frac{1}{2} \text{ pies per minute}
\]

Therefore, the correct answer is:

**2 and 1/2 pies per minute**.

Would you like more details on this solution, or do you have any other questions?

Here are some related questions that expand on this concept:

1. What if Kyle took \( \frac{1}{4} \) of a minute to eat \( \frac{1}{3} \) of a pie?
2. How would you calculate the time it takes to eat one full pie based on this rate?
3. How can this concept be applied to other types of rates, like speed or productivity?
4. What would happen to the rate if he took twice as long to eat the same amount of pie?
5. Can you determine how much of a pie he would eat in three minutes?

**Tip:** Remember that when dividing by a fraction, you can multiply by its reciprocal to simplify the calculation!

Kyle entered a pie eating contest. He took 1/5 of a minute to eat 1/2 of a pie. How many pies can Kyle eat per minute?

Discover how to calculate the rate of pie consumption per minute. Given that Kyle took 1/5 of a minute to eat 1/2 of a pie, learn how to determine how many pies he can eat per minute using division of fractions. Suitable for students in Grades 5-7.

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