The fraction equal to $2.34\overline{8}$ is

$\begin{array}{l}\Rightarrow x=2.34888\to \left(1\right)\\ 100x=234.888\to \left(2\right)\\ 1000x=2348.888\to \left(3\right)\end{array}$

(3) – (2)

1000x – 100x = 2348.888 – 234.888

900x = 2114

$x=\frac{2114}{900}=\frac{1057}{450}$