Question

Convert into vulgar fraction:
$0.68\overline{5}$

Answer 1

Step: Convert into a vulgar fraction

Given: $0.68\overline{5}$

$\Rightarrow 0.68\overline{5}=\mathrm{0.6855...}$

Here, 5 is the only digit that is repeating in the decimal part.

$\Rightarrow 0.68\overline{5}$

$=\frac{685-68}{900}$

$=\frac{617}{900}$

$\therefore 0.68\overline{5}=\frac{617}{900}$