Question

george is building a fence. he builds his fence at a constant rate of $\frac{1}{3}$ section of fence every $\frac{1}{2}$ hour. at this rate, what fraction represents the section of fence george can build per hour? express your answer as a fraction. enter your answer in the boxes.

Explanation:

Step1: Identify the rate formula

The rate of work is given by the amount of work done divided by the time taken. Here, the work done is $\frac{1}{3}$ section of fence and the time taken is $\frac{1}{2}$ hour. To find the rate per hour, we need to find how much work is done in 1 hour. Let the rate per hour be $r$. We know that rate $r=\frac{\text{Work}}{\text{Time}}$. So we have $r = \frac{\frac{1}{3}}{\frac{1}{2}}$.

Step2: Divide the fractions

When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction. So $\frac{\frac{1}{3}}{\frac{1}{2}}=\frac{1}{3}\times\frac{2}{1}$.

Step3: Multiply the fractions

Multiplying the numerators and denominators, we get $\frac{1\times2}{3\times1}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$