The value of $$\frac{9\div \left\{5-5\div \left(6-7\right) \times8 +9 \right\}}{4+4\times4 of 4}$$ is:

A

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

B

$$\frac{1}{30}$$

C

$$\frac{1}{15}$$

D

$$\frac{1}{90}$$