The simplified value of $$\left(\frac{7}{5}\div\frac{7}{10}  of  \frac{3}{4}\right)\div \frac{4}{9} - \left(\frac{7}{16} \div 10\frac{1}{2} \times 7\frac{1}{5}\right) \times \frac{5}{12}$$ is:

$$\left(\frac{7}{5}\div\frac{7}{10} of \frac{3}{4}\right)\div \frac{4}{9} - \left(\frac{7}{16} \div 10\frac{1}{2} \times 7\frac{1}{5}\right) \times \frac{5}{12}$$

=$$\left(\frac{7}{5}\div \frac{7}{10}\times\frac{3}{4}\right)\div\frac{4}{9}-\left(\frac{7}{16}\div\frac{21}{2}\times\frac{36}{5}\right)\times\frac{5}{12}\ $$

=$$\left(\frac{7}{5}\div \frac{21}{40}\right)\div\frac{4}{9}-\left(\frac{7}{16}\times\frac{2}{21}\times\frac{36}{5}\right)\times\frac{5}{12}$$

= $$\left(\frac{7}{5}\times\frac{40}{21}\right)\div\frac{4}{9}-(\frac{12}{40}\times\frac{5}{12})$$

=$$(\frac{8}{3}\times\frac{9}{4})-(\frac{12}{40}\times\frac{5}{12})$$

= 6 - $$\frac{1}{8}$$

= $$\frac {48-1}{8}$$

= $$\frac{47}{8}$$