Question
$\frac{-7}{2}$ lies between $-3$ and $-4.$
✓
Answer
First, we convert the given rational numbers with denominator as $2,$ we get
$-3=-3\times\frac{2}{2}=\frac{-6}{2}$
$-4=-4\times\frac{2}{2}=\frac{-8}{2}$
$\because\frac{-8}{2}<\frac{-7}{2}<\frac{-6}{2}$
$\therefore-4<\frac{-7}{2}<-3$
Therefore, $\frac{-7}{2}$lies between $-3$ and $-4.$
$-3=-3\times\frac{2}{2}=\frac{-6}{2}$
$-4=-4\times\frac{2}{2}=\frac{-8}{2}$
$\because\frac{-8}{2}<\frac{-7}{2}<\frac{-6}{2}$
$\therefore-4<\frac{-7}{2}<-3$
Therefore, $\frac{-7}{2}$lies between $-3$ and $-4.$
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