Find three distinct rational numbers that lie strictly between \(\frac{−1}{2}\) and \(\frac{1}{4}\).

The two given rational numbers are \(\frac{−1}{2}\) and \(\frac{1}{4}\).
Find a common denominator for both.
\(\frac{−1}{2} = \frac{−1 × 4}{2 × 4} = \frac{−4}{8}\)
\(\frac{1}{4} = \frac{1 × 2}{4 × 2} = \frac{2}{8}\)
There are five numbers between −4 and 2, so we can choose any three.

Hence, three rational numbers between \(\frac{−1}{2}\) and \(\frac{1}{4}\) are \(\frac{−3}{8}\, \frac{−1}{8}\) and \(\frac{1}{8}\).