1. (7 points) Provide an example of two common fractions, the difference of which is three times greater than their product. Provide calculations that justify this property.
Answer. For example, $\frac{1}{2}$ and $\frac{1}{5}$.

Solution.

$\frac{1}{2}-\frac{1}{5}=\frac{5-2}{10}=\frac{3}{10}, \quad \frac{1}{2} \times \frac{1}{5}=\frac{1}{10}$.

Any fractions of the form $\frac{1}{n}$ and $\frac{1}{n+3}$ work, and there are other solutions as well.

## Grading Criteria.

- Any complete correct solution - 7 points.
- Correct answer provided without justification - 3 points.