Question

What is the fractional form of 0.3333...?

• A. $\frac{1}{6}$
• B. $\frac{1}{3}$
• C. $\frac{1}{9}$
• D. $\frac{1}{10}$

Answer 1

The correct option is B $\frac{1}{3}$

Rewrite each fraction as a decimal. Divide the numerator by the denominator.
$\frac{1}{6}=\mathrm{1.66666....}$
$\frac{1}{9}=\mathrm{0.11111....}$
$\frac{1}{3}=\mathrm{0.3333....}$
$\frac{1}{10}=0.1$

$\therefore \text{From the given options,}\frac{1}{3}\text{equals to 0.3333.... which is a repeating decimal}$