The value of 3/4 × 22/3 ÷ 5/9 of 11/5 + 223 × 35/6 ÷ 2/7 of 21/3 is:

Answer: Option C

$$\begin{array}{rl}& \frac{3}{4}\times 2\frac{2}{3}÷\frac{5}{9}\text{ of }1\frac{1}{5}+\frac{2}{23}\times 3\frac{5}{6}÷\frac{2}{7}\text{ of }2\frac{1}{3}\\ & =\frac{3}{4}\times \frac{8}{3}÷\frac{5}{9}\text{ of }\frac{6}{5}+\frac{2}{23}\times \frac{23}{6}÷\frac{2}{7}\text{ of }\frac{7}{3}\\ & =\frac{3}{4}\times \frac{8}{3}÷\frac{2}{3}+\frac{2}{23}\times \frac{23}{6}÷\frac{2}{3}\\ & =\frac{3}{4}\times \frac{8}{3}\times \frac{3}{2}+\frac{2}{23}\times \frac{23}{6}÷\frac{2}{3}\\ & =3+\frac{1}{2}\\ & =3\frac{1}{2}\end{array}$$