Question

Write the following rational numbers in ascending order:
$1/3,2/9,4/3$

Answer 1

$\frac{1}{3},\frac{2}{9},\frac{4}{3}$

$\Rightarrow \frac{1}{3}\times \frac{3}{3},\frac{2}{9},\frac{4}{3}\times \frac{3}{3}$

$\Rightarrow \frac{3}{9},\frac{2}{9},\frac{12}{9}$

$\Rightarrow \frac{2}{9}<\frac{3}{9}<\frac{12}{9}$

$\Rightarrow \frac{2}{9}<\frac{1}{3}<\frac{4}{3}$

$\therefore \frac{2}{9},\frac{1}{3},\frac{4}{3}$ are in ascending order.