0.346 recurring = ?/99

0.346 recurring as a fraction?

$\begin{array}{|rcll|} \hline 1000\cdot 0.\overline{346} &=& 346.\overline{346} \\ 1\cdot 0.\overline{346} &=& 0.\overline{346} \\\\ 1000\cdot 0.\overline{346} - 1\cdot 0.\overline{346} &=& 346.\overline{346}-0.\overline{346} \\ 999\cdot 0.\overline{346} &=& 346 \\ 0.\overline{346} &=& \frac{346}{999} \\ \mathbf{ 0.346\ recurring } &\mathbf{=}& \mathbf{ \frac{346}{999} }\\ \hline \end{array}$

.346346346.......=346/999.