List six rational numbers less than $-2$ but greater than $-3$.

Given: Rational numbers $-2$ and $-3$.

To do: To find the six rational numbers less than $-2$ but greater than $-3$.

Solution:

Rational numbers $-2$ and $-3$ can be written as $-\frac{20}{10}$ and $-\frac{30}{10}$ respectively.

Thus, rational numbers between $-2$ and $-3$ are: $-\frac{21}{10},\ -\frac{22}{10},\ -\frac{23}{10},\ -\frac{24}{10},\ -\frac{25}{10},\ -\frac{26}{10}$.