The value of $$\left(8 \div \frac{2}{3}  of  \frac{4}{5 }\right) \div \left(8 \times \frac{2}{3} \div \frac{4}{5}\right)  of  \left(8 \div \frac{2}{3} \times \frac{4}{5}\right)$$ is:

= $$\left(8 \div \frac{2}{3} of \frac{4}{5 }\right) \div \left(8 \times \frac{2}{3} \div \frac{4}{5}\right) of \left(8 \div \frac{2}{3} \times \frac{4}{5}\right)$$

= $$\left(8\div\frac{8}{15}\right)\div\left(8\times\frac{2}{3}\times\frac{5}{4}\right)of\left(8\times\frac{3}{2}\times\frac{4}{5}\right)$$

= $$\left(8\times\frac{15}{8}\right)\div\left(4\times\frac{1}{3}\times\frac{5}{1}\right)of\left(8\times\frac{3}{1}\times\frac{2}{5}\right)$$

= $$15\div\left(\frac{20}{3}\right)of\left(\frac{48}{5}\right)$$

= $$15\div\left(\frac{4}{1}\right)of\left(\frac{16}{1}\right)$$

= $$15\div\frac{64}{1}$$

= $$\frac{15}{64}$$