If $$X + \frac{1}{x} = 1$$, what is the value of $$ \frac{x^{2} + 7x + 1}{x^{2} + 11x + 1}$$ = ?

A

$$\frac{3}{4}$$

B

$$\frac{2}{3}$$

C

$$\frac{1}{3}$$

D

$$\frac{1}{4}$$