Question

Simplify the fraction $\frac{2}{10}:$

• A. $\frac{1}{5}$
• B. $\frac{1}{2}$
• C. $\frac{1}{3}$
• D. $\frac{1}{4}$

Answer 1

The correct option is A $\frac{1}{5}$

$\frac{2}{10}$

Let's rewrite the numerator and the denominator into its factors
Prime factorisation of $2:1\times 2$
Prime factorisation of $10:2\times 5$

$\therefore \frac{2}{10}=\frac{1\times 2}{2\times 5}$
Cancelling out 2 from numerator and denominator, we get
$\frac{2}{10}=\frac{1}{5}$

Therefore, the simplified fraction of $\frac{2}{10}$ is $\frac{1}{5}.$