https://file.aiquickdraw.com/mathbot/file/1729201944550tlp16h1m.jpg

Let's break down the problem in the image step by step:

### Problem:
- George builds \( \frac{1}{3} \) section of fence in \( \frac{1}{2} \) hour.
- We are asked to find what fraction of the fence George can build per hour.

### Solution Approach:
To find the amount of fence George builds per hour, we need to divide the section of fence built (\( \frac{1}{3} \)) by the time it takes (\( \frac{1}{2} \) hour). This can be expressed as:

\[
\frac{1}{3} \div \frac{1}{2}
\]

When dividing fractions, we multiply by the reciprocal of the divisor. So:

\[
\frac{1}{3} \times \frac{2}{1} = \frac{1 \times 2}{3 \times 1} = \frac{2}{3}
\]

### Final Answer:
George builds \( \frac{2}{3} \) of a section of the fence per hour.

Would you like further details on this process, or any clarifications?

### Follow-up Questions:
1. What is the general rule for dividing fractions?
2. Can you apply this method to different values of fence sections and time?
3. How would this change if George built \( \frac{1}{4} \) of the fence in \( \frac{1}{2} \) hour?
4. What if George built \( \frac{1}{3} \) of the fence in \( \frac{3}{4} \) of an hour?
5. How would you calculate the time needed if George built an entire fence at the same rate?

### Tip:
When dividing fractions, remember to multiply by the reciprocal of the second fraction!

George is building a fence. He builds his fence at a constant rate of 1/3 section of fence every 1/2 hour. At this rate, what fraction represents the section of fence George can build per hour?

Learn how to calculate the rate at which George builds a fence, determining the fraction of the fence completed per hour when given fractional time intervals. This problem covers core concepts of dividing and multiplying fractions and is suitable for students in Grades 5-7.

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