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!