The value of $$\frac{3\frac{2}{3} \div \frac{11}{30} of \frac{2}{3} - \frac{1}{4} of 2\frac{1}{2} \div \frac{3}{5} \times 4 \frac{4}{5}}{\frac{2}{5} of 7\frac{1}{2} \div \frac{3}{4} - \frac{3}{4} \times 1\frac{1}{2} \div 2\frac{1}{4}}$$ is:

$$\frac{3\frac{2}{3} \div \frac{11}{30} of \frac{2}{3} - \frac{1}{4} of 2\frac{1}{2} \div \frac{3}{5} \times 4 \frac{4}{5}}{\frac{2}{5} of 7\frac{1}{2} \div \frac{3}{4} - \frac{3}{4} \times 1\frac{1}{2} \div 2\frac{1}{4}}$$

= $$\frac{\frac{11}{3} \div \frac{11}{30} of \frac{2}{3} - \frac{1}{4} of \frac{5}{2} \div \frac{3}{5} \times  \frac{24}{5}}{\frac{2}{5} of \frac{15}{2} \div \frac{3}{4} - \frac{3}{4} \times \frac{3}{2} \div \frac{9}{4}}$$

= $$\frac{\frac{11}{3} \div \frac{11}{45} - \frac{5}{8} \div \frac{3}{5} \times \frac{24}{5}}{3 \div \frac{3}{4} - \frac{3}{4} \times \frac{3}{2} \div \frac{9}{4}}$$

= $$\frac{\frac{11}{3} \times \frac{45}{11} - \frac{5}{8} \times \frac{5}{3} \times \frac{24}{5}}{3 \times \frac{4}{3} - \frac{3}{4} \times \frac{3}{2} \times \frac{4}{9}}$$

= $$\frac{15 - 5}{4 -\frac{1}{2}}$$

= $$\frac{10}{\frac{7}{2}}$$

= $$\frac{20}{7} = 2\frac{6}{7}$$