What is the positive difference between the sum of $\frac{1}{2}$ and $\frac{1}{3}$ and the product of $\frac{1}{2}$ and $\frac{1}{3}$? Express your answer as a common fraction.
To find the positive difference between two quantities, I need to subtract the smaller one from the larger one and make sure the result is positive. The sum of $\frac{1}{2}$ and $\frac{1}{3}$ is $\frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}$. The product of $\frac{1}{2}$ and $\frac{1}{3}$ is $\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}$. The positive difference is $\frac{5}{6} - \frac{1}{6} = \frac{4}{6} = \frac{2}{3}$.

