Question

Convert into vulgar fraction:
$2.\overline{23}$

Answer 1

Step: Convert into a vulgar fraction

Given: $2.\overline{23}$

$\Rightarrow 2.\overline{23}=2.2323...$

Here, 2 and 3 are the two digits that are repeating in the decimal part.

$\Rightarrow 2.\overline{23}$
= $2+\frac{23-0}{99}$
= $2+\frac{23}{99}$
=$2\frac{23}{99}$

$\therefore 2.\overline{23}=2\frac{23}{99}$