Find two rational numbers between −3 and −2.

Required number $=\frac{1}{2} \times(-3-2)$

$=\frac{1}{2}(-5)$

$=\frac{-5}{2}$

We know,

$-3<\frac{-5}{2}<-2$

Rational number between $-3$ and $\frac{-5}{2}=\frac{1}{2} \times\left(-3-\frac{5}{2}\right)$

$=\frac{1}{2}\left(\frac{-6-5}{2}\right)$

$=\frac{1}{2} \times \frac{-11}{2}$

$=\frac{-11}{4}$

Thus, the required numbers are $\frac{-5}{2}$ and $\frac{-11}{4}$.