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.

1 answer

To find the fraction that represents the section of fence George can build per hour, we start with the information given:

George builds \(\frac{1}{331}\) section of fence every \(\frac{1}{221}\) hour.

To determine how many sections he can build in one hour, we can set up the equation:

\[ \text{Sections per hour} = \frac{\text{Sections built}}{\text{Time taken}} = \frac{\frac{1}{331}}{\frac{1}{221}}. \]

Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite the equation as follows:

\[ \text{Sections per hour} = \frac{1}{331} \times \frac{221}{1} = \frac{221}{331}. \]

Therefore, the fraction that represents the section of fence George can build per hour is

\[ \frac{221}{331}. \]