Question

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

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​Enter your answer in the boxes.

Answer 1

To find the fraction that represents the section of fence George can build per hour, we need to consider the given rate.

George builds \( \frac{1}{3} \) of a section of fence every \( \frac{1}{2} \) hour.

To find out how much he builds in 1 hour, we can set up a calculation based on his rate.

Since there are 2 halves in 1 hour, we can multiply the amount he builds in half an hour by 2:

\[
\text{Amount built in 1 hour} = \left( \frac{1}{3} \text{ sections} \right) \times 2 = \frac{2}{3} \text{ sections}
\]

Thus, the fraction that represents the section of fence George can build per hour is \( \frac{2}{3} \).

So, the final answer is:

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