Question

find a rational number between _3/4 and _2/5​

Answer 1

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A rational Number between

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$\frac{3}{4} \: \: \: and \: \: \: \frac{2}{5} \\ \\ = \geqslant \frac{1}{2} (a + b) \\ \\ = \geqslant \frac{1}{2} \: \times \: \: ( \frac{3}{4} + \frac{2}{5} ) \\ \\ = \geqslant \frac{1}{2} \: \: \times \: \: ( \frac{15 + 8}{20} ) \\ \\ = \geqslant \frac{1}{2} \: \: \times \: \: \frac{23}{20} \\ \\ = \geqslant \frac{23}{40}$