Answer :

[tex]x=0.97\overline{3}\\ 100x=97.\overline{3}\\ 1000x=973.\overline{3}\\ 1000x-100x=973.\overline{3}-97.\overline{3}\\ 900x=876\\ x=\dfrac{876}{900}=\dfrac{73}{75}[/tex]
the answer is 73/75 :)