Question

Convert the following into a vulgar fraction:
$0.\overline{6}$

Answer 1

Let $y=0.6666$

$\Rightarrow 10y=6.6666$

$\Rightarrow -9y=-6$

$\Rightarrow y=\frac{6}{9}=\frac{2}{3}$

$\Rightarrow y=\frac{2}{3}$.