If $$A + \frac{1}{1+\frac{1}{2 + \frac{1}{3}}} = \frac{9}{10}$$, then the value of A is:

A

$$\frac{1}{5}$$

B

$$\frac{3}{10}$$

C

$$\frac{2}{5}$$

D

$$\frac{1}{10}$$