The given number is
[tex]-\frac{28}{3}[/tex]If you divide this number, you would get
[tex]-\frac{28}{3}=-9.333333\ldots[/tex]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.