Question

Convert into vulgar fraction:
$23.\overline{7}$

Answer 1

Step: Convert into a vulgar fraction

Given: $23.\overline{7}$

$\Rightarrow 23.\overline{7}=23.777...$

Here, 7 is the only digit that is repeating in the decimal part.

$\Rightarrow 23.\overline{7}$
= $23+\frac{7-0}{9}$
= $23+\frac{7}{9}$
= $23\frac{7}{9}$

$\therefore 23.\overline{7}=23\frac{7}{9}$