Question

Question 1 (iv)

List five rational numbers between:
$\frac{-1}{2}and\frac{2}{3}$

Answer 1

$\frac{-1}{2}and\frac{2}{3}$
Let us write $\frac{-1}{2}and\frac{2}{3}$ as rational numbers with the same denominators
$\Rightarrow \frac{-1}{2}=\frac{-3}{6}and\frac{2}{3}=\frac{4}{6}$
$\therefore \frac{-3}{6}$<$\frac{-2}{6}$<$\frac{-1}{6}$ < 0 < $\frac{1}{6}$<$\frac{2}{6}$<$\frac{3}{6}$<$\frac{4}{6}$
$\Rightarrow \frac{-1}{2}$<$\frac{-1}{3}$<$\frac{-1}{6}$ < 0 < $\frac{1}{6}$<$\frac{1}{3}$<$\frac{1}{2}$<$\frac{2}{3}$