7.1. The numerator and denominator of a positive fraction are natural numbers. If the numerator is increased by 3 and the denominator by 2, the value of the fraction decreases. Provide an example and show how this could happen.
Answer: for example, $\frac{8}{3}$.

Solution. $\frac{8+3}{3+2}=\frac{11}{5}=2 \frac{1}{5}<2 \frac{2}{3}=\frac{8}{3}$.

There are other examples as well: the condition of the problem is satisfied by any fraction that is greater than $\frac{3}{2}$.

Grading criteria. «+» A correct example is provided and it is shown that it meets the condition «未» Only a correct example is provided «Ғ» Several examples are provided, some of which are correct and some are incorrect «-» Only an incorrect example is provided or no example is provided