Simplify :

​$$\frac{{2\frac{1}{3}} - 1\frac{2}{11}}{3 + \frac{1}{3 + \frac{1}{3 + \frac{1}{3}}}}$$​​

Correct option is A

​$$\frac{{2\frac{1}{3}} - 1\frac{2}{11}}{3 + \frac{1}{3 + \frac{1}{3 + \frac{1}{3}}}}$$​

=$$\frac{{\frac{7}{3}} - \frac{13}{11}}{3 + \frac{1}{3 + \frac{1}{3 + \frac{1}{3}}}}$$

=$$\frac{{\frac{7}{3}} - \frac{13}{11}}{ \frac{33}{3 + \frac{10}{33}}}$$

=$$\frac{38}{33}\times\frac{33}{109}$$

=$$\frac{38}{109}$$

Hence answer is$$\frac{38}{109}$$​ ​