Question

Arrange the following fractions in ascending order.
$\frac{5}{6},\frac{1}{3},\frac{2}{9}$

Answer 1

Let the numbers be a, b, c.

$\frac{a}{b}=\frac{5}{6}\times 3=\frac{5}{2}>1\Rightarrow a>b.$

$\frac{b}{c}=\frac{1}{3}\times \frac{9}{2}=\frac{3}{2}>1\Rightarrow b>c.$

$\frac{c}{a}=\frac{2}{9}\times \frac{6}{5}=\frac{12}{45}<1\Rightarrow c<a$

$\Rightarrow c<b<a$