Find the value of $$\frac23$$​ ÷ $$\frac{12}{11} of 8 \frac14 + 4 \frac17 - 5\frac 12 × 1 \frac17 + 5 \frac13$$​​

Correct option is C

Given:
Expression: $$\frac{2}{3} \div \frac{12}{11} \text{ of } 8\frac{1}{4} + 4\frac{1}{7} - 5\frac{1}{2} × 1\frac{1}{7} + 5\frac{1}{3}$$​​
Formula Used:
BODMAS Rule (Brackets, Of, Division, Multiplication, Addition, Subtraction)
Solution:
​$$\frac{2}{3} \div \frac{12}{11} \text{ of } 8\frac{1}{4} + 4\frac{1}{7} - 5\frac{1}{2} × 1\frac{1}{7} + 5\frac{1}{3} \\ \ \\ = \frac{2}{3} \div \frac{12}{11} \text{ of } \frac{33}{4} + \frac{29}{7} - \frac{11}{2} × \frac{8}{7} + \frac{16}{3}\\ \ \\ = \frac{2}{3} \div 9 + \frac{29}{7} - \frac{11}{2} × \frac{8}{7} + \frac{16}{3}\\ \ \\ = \frac{2}{3} \times \frac 19 + \frac{29}{7} - \frac{11}{2} × \frac{8}{7} + \frac{16}{3}\\ \ \\ = \frac{2}{27} + \frac{29}{7} - \frac{44}{7} + \frac{16}{3}\\ \ \\ = \frac{2}{27} - \frac{15}{7} + \frac{16}{3} \\ \ \\ = \frac{14 - 405 + 1008}{189}\\ \ \\ = \frac{617}{189}$$​​
Final Answer
So the correct answer is (c)