The given number is
![-(28)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/8kln9hczkcvsd2thex12uxndsff5jwwm9a.png)
If you divide this number, you would get
![-(28)/(3)=-9.333333\ldots](https://img.qammunity.org/2023/formulas/mathematics/college/mh03cor81iw35ii3i7s62bddpyx2omc98x.png)
As you can observe, the number as a repeating decimal, which is a pattern. This means the number is rational.
Why's not an integer?
Because integers are numbers that don't have decimal numbers.
Therefore, the answer is rational.