Find the value of  $$9\frac{1}{6} \times 4\frac{2}{3} + 5 \frac{1}{2} \div 2 \frac{2}{3}$$​.

Correct option is D

Given:

The expression $$9\frac{1}{6} \times 4\frac{2}{3} + 5 \frac{1}{2} \div 2 \frac{2}{3}$$​​

Solution:

​$$9\frac{1}{6} \times 4\frac{2}{3} + 5 \frac{1}{2} \div 2 \frac{2}{3}$$​​

= $$\frac{55}{6} \times \frac{14}{3} + \frac{11}{2} \div \frac{8}{3}$$​​

= $$\frac{55}{3} \times \frac{7}{3} + \frac{11}{2} \times \frac{3}{8}$$​​

= $$\frac{385}{9} + \frac{33}{16}$$​​

= $$\frac{6160+297}{144}$$​​

​$$= \frac{6457}{144}$$​​