Question

Express the relation between the following numbers with the help of the less than or greater than inequalities. Also, verify it :

$\frac{1}{5}$ and $\frac{3}{5}$

Answer 1

Step 1: Express the relation between the numbers

The given numbers are $\frac{1}{5}$ and $\frac{3}{5}$

$\frac{1}{5}$ is always lesser than $\frac{3}{5}$, because the numerator in $\frac{1}{5}$ is lesser.

Hence, use the less than symbol between the numbers :

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

0.2<0.6

Step 2: Verify the relation

Verification: $\frac{3}{5}-\frac{1}{5}=\frac{2}{5}$

Hence, the relation between the given numbers is $\frac{1}{5}<\frac{3}{5}$