Tick (✓) the correct answer

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 $\frac{1}{4}=\frac{1}{2}\left(\frac{-2}{3}+\frac{1}{4}\right)$

$=\frac{1}{2}\left(\frac{-8+3}{12}\right)$

$=\frac{1}{2} \times \frac{-5}{12}$

$=\frac{-5}{24}$

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