Question

Tick (✓) the correct answer
A rational number between $\frac{-2}{3}\mathrm{and}\frac{1}{4}\mathrm{is}$
(a) $\frac{5}{12}$
(b) $\frac{-5}{12}$
(c) $\frac{5}{24}$
(d) $\frac{-5}{24}$

Answer 1

(d) $\frac{-5}{24}$
Rational number between $\frac{-2}{3}$ and $\frac{1}{4}$ = $\frac{1}{2}\left(\frac{-2}{3}+\frac{1}{4}\right)$
$$\begin{gathered} =\frac{1}{2}\left(\frac{-8+3}{12}\right) \\ =\frac{1}{2}\times \frac{-5}{12} \\ =\frac{-5}{24} \end{gathered}$$