Simplify \(\frac{{1\frac{7}{{12}}}}{{3\frac{4}{5}}} \div \left( {\frac{5}{6} \times \frac{{12}}{{15}} + \frac{1}{4}} \right) + \frac{5}{7} \div \frac{{11}}{{13}}{\rm{of}}\frac{{13}}{7}\)