The simplified value of $$\frac{\left(3\frac{1}{5} + \frac{3}{5}\right) \div \frac{8}{5}}{1\frac{1}{7} \div \left\{\frac{6}{7} - \left(\frac{1}{7} \div \frac{1}{5}\right)\right\}}$$ is:

$$\frac{\left(3\frac{1}{5} + \frac{3}{5}\right) \div \frac{8}{5}}{1\frac{1}{7} \div \left\{\frac{6}{7} - \left(\frac{1}{7} \div \frac{1}{5}\right)\right\}}$$

=     $$\frac{\left(\frac{16}{5} + \frac{3}{5}\right) \div \frac{8}{5}}{\frac{8}{7} \div \left\{\frac{6}{7} - \frac{5}{7}\right\}}$$

=     $$\frac{(\frac{19}{5}) \div \frac{8}{5}}{\frac{8}{7}\div \frac{1}{7}}$$

=    $$\frac{19}{8} \times \frac{1}{8}$$

= $$\frac{19}{64}$$