Answer :

2.333... in fraction form is 2 and 1/3
1 ÷ 3 is 0.333...
[tex]x=2.(3)\ \ \ /\cdot10\\\\10x=23.(3)\\\\10x-x=23.(3)-2.(3)\\\\9x=21\ \ \ /:9\\\\x=\frac{21}{9}\\\\x=\frac{7}{3}\\\\x=2\frac{1}{3}[/tex]