The value of 3 ÷ 18 of 3 × 6 + 21 × 6 ÷ 18 - 3 ÷ 2 + 3 - 3 ÷ 9 of 3 × 9 is:

Answer: Option D

$$\begin{array}{rl}& 3÷18\text{ of }3\times 6+21\times 6÷18-3÷2+3-3÷9\text{ of }3\times 9\\ & =\frac{3}{54}\times 6+\frac{21\times 6}{18}-\frac{3}{2}+3-\frac{3}{27}\times 9\\ & =\frac{1}{3}+7-\frac{3}{2}+3-1\\ & =9+\frac{1}{3}-\frac{3}{2}\\ & =\frac{54+2-9}{6}\\ & =\frac{47}{6}\end{array}$$