Question

Convet $\frac{1}{3}$ into it's decimal form.

• A. $0.3$
• B. $0.333$
• C. $0.\overline{3}$

Answer 1

The correct option is C $0.\overline{3}$

As the denominator of $\frac{1}{3}$ is not a power of 10, i.e., 1 followed by some zeros, we need to long divide 1 by 3.
We observe that this is a never-ending division.

$\therefore$ The decimal expansion of $\frac{1}{3}$ is endless.

$\frac{1}{3}=\mathrm{0.3333....}$

It is also represented as $0.\overline{3}$