### Instruction: 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.### Response: 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 $\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}$.
I can see that the sum is larger than the product, so I will subtract the product from the sum.