[tex]\boxed{2.23= \frac{223}{100} } \\\\ \text{Another example:} \\ \\ 0,(4)= \frac{4}{9} \\ \\ 2,(4)= \frac{24-2}{9} = \frac{22}{9} \\ \\ 4,(16)= \frac{416-4}{99}= \frac{412}{99} \\ \\ 1,2(3)= \frac{123-12}{90}= \frac{111}{90} \\ \\ 2,58(936)= \frac{25893-258}{99900} = \frac{258678}{99900} \\\\ \bold{\text{Good look !!!}}[/tex]
