$$5\frac{1}{5} \div \left[3\frac{1}{2} - \left\{\frac{5}{6} - \left(\frac{3}{5} + \frac{1}{10} - \frac{4}{15}\right)\right\}\right]$$ is equal to:

A

$$\frac{22}{31}$$

B

$$\frac{52}{31}$$

C

$$\frac{12}{31}$$

D

$$\frac{72}{31}$$