Question

Convert into vulgar fraction:
$4.\overline{4}$

Answer 1

Step: Convert into a vulgar fraction

Given: $4.\overline{4}=4.444...$

Here, 4 is the only digit that is repeating in the decimal part.

$\Rightarrow 4.\overline{4}$
= $4+\frac{4-0}{9}$
= $4+\frac{4}{9}$
= $4\frac{4}{9}$

$\therefore 4.\overline{4}=4\frac{4}{9}$