Question

Convert into vulgar fraction:
$0.\overline{3}$

Answer 1

Step: Convert into a vulgar fraction

Given: $0.\overline{3}$

$\Rightarrow 0.\overline{3}=0.333...$

Here, 3 is the only digit that is repeating in the decimal part.
$\Rightarrow 0.\overline{3}$

=$\frac{3-0}{9}$

=$\frac{3}{9}$

=$\frac{3÷3}{9÷3}$

=$\frac{1}{3}$

$\therefore 0.\overline{3}=\frac{1}{3}$