The value of $$\frac{(5+7×5÷8 of 5+3÷3×5)}{(6÷6 of 4+9×9÷3×2×2)}$$​ is:

Correct option is D

Solution:
​$$\frac{(5 + 7 \times 5 \div 8 \ \text{of} \ 5 + 3 \div 3 \times 5)}{(6 \div 6 \ \text{of} \ 4 + 9 \times 9 \div 3 \times 2 \times 2)} \\\ \\= \frac{(5 + 7 \times 5 \div 40 + 3 \div 3 \times 5)}{(6 \div 24 + 9 \times 3 \times 2 \times 2)} \\\ \\= \frac{(5 + 7 \times \frac{1}{8} + 5)}{\left(\frac{1}{4} + 108\right)} \\\ \\= \frac{\left(5 + \frac{7}{8} + 5\right)}{\left(\frac{1}{4} + 108\right)} \\\ \\= \frac{\left(\frac{40}{8} + \frac{7}{8} + \frac{40}{8}\right)}{\left(\frac{1}{4} + 432 \div 4\right)} \\\ \\= \frac{\frac{87}{8}}{\frac{433}{4}} \\\ \\= \frac{87}{8} \times \frac{4}{433} \\\ \\= \frac{87}{866}$$​​