Question:
Tick (✓) the correct answer
A rational number between $\frac{-2}{3}$ and $\frac{1}{4}$ is
(a) $\frac{5}{12}$
(b) $\frac{-5}{12}$
(c) $\frac{5}{24}$
(d) $\frac{-5}{24}$
Solution:
(d) $\frac{-5}{24}$
Rational number between $\frac{-2}{3}$ and $\frac{1}{4}=\frac{1}{2}\left(\frac{-2}{3}+\frac{1}{4}\right)$
$=\frac{1}{2}\left(\frac{-8+3}{12}\right)$
$=\frac{1}{2} \times \frac{-5}{12}$
$=\frac{-5}{24}$