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

$$\eqalign{ & 3 \div 18{\text{ of }}3 \times 6 + 21 \times 6 \div 18 - 3 \div 2 + 3 - 3 \div 9{\text{ of }}3 \times 9 \cr & = \frac{3}{{54}} \times 6 + \frac{{21 \times 6}}{{18}} - \frac{3}{2} + 3 - \frac{3}{{27}} \times 9 \cr & = \frac{1}{3} + 7 - \frac{3}{2} + 3 - 1 \cr & = 9 + \frac{1}{3} - \frac{3}{2} \cr & = \frac{{54 + 2 - 9}}{6} \cr & = \frac{{47}}{6} \cr} $$