Question

Arrange the following in ascending order:
$\frac{2}{5},\frac{1}{3},\frac{3}{10}$

• A. $\frac{1}{3},\frac{3}{10},\frac{2}{5}$
• B. $\frac{3}{10},\frac{2}{5},\frac{1}{3}$
• C. $\frac{3}{10},\frac{1}{3},\frac{2}{5}$
• D. $\frac{2}{5},\frac{1}{3},\frac{3}{10}$

Answer 1

The correct option is C $\frac{3}{10},\frac{1}{3},\frac{2}{5}$

Given,

$\frac{2}{5},\frac{1}{3},\frac{3}{10}$

LCM $5,3,10$ is $30$

So,

$\frac{2}{5}\times \frac{6}{6}$ = $\frac{12}{30}$

$\frac{1}{3}\times \frac{10}{10}$ = $\frac{10}{30}$

$\frac{3}{10}\times \frac{3}{3}$ = $\frac{9}{30}$

As we know, $9<10<12$

So,

$\frac{3}{10}<\frac{1}{3}<\frac{2}{5}$