What is the value of:
$$\frac{\left[\frac{1}{9} \div \frac{1}{9} of \frac{1}{9}\right]\times \frac{1}{9}}{\frac{1}{9} + \frac{1}{9} of \frac{1}{9}}$$ ?

A

$$9\frac{1}{81}$$

B

$$8\frac{1}{10}$$

C

$$9\frac{1}{10}$$

D

$$8\frac{1}{81}$$