Question
Find a rational number between $-\frac{3}{4}$ and $-\frac{2}{5}$
✓
Answer
$-\frac{3}{4}$ and $-\frac{2}{5}$Let:
$\text{x}=-\frac{3}{4}$ and $\text{y}=-\frac{2}{5}$
Rational number lying between x and y.
$\frac{1}{2}(\text{x}+\text{y})=\frac{1}{2}\Big(-\frac{3}{4}-\frac{2}{5}\Big)$
$\frac{1}{2}\Big(\frac{-15-8}{20}\Big)=-\frac{23}{40}$
$\text{x}=-\frac{3}{4}$ and $\text{y}=-\frac{2}{5}$
Rational number lying between x and y.
$\frac{1}{2}(\text{x}+\text{y})=\frac{1}{2}\Big(-\frac{3}{4}-\frac{2}{5}\Big)$
$\frac{1}{2}\Big(\frac{-15-8}{20}\Big)=-\frac{23}{40}$
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