The value of $$3 \times 2 \div 3  of  12 - 3 \div 2 \times (2 - 3) \times 2 + 3 \div 2   of  3$$ is:

Apply bodmas rule to this problem to simplify

BODMAS RULE. BODMAS is an acronym and it stands for Bracket, Of, Division, Multiplication, Addition and Subtraction. In certain regions, PEDMAS (Parentheses, Exponents, Division, Multiplication, Addition and Subtraction) is the synonym of BODMAS. It explains the order of operations to solve an expression

First solve the bracket then orders then division then multiplication then addition then subtraction

3×2÷3of12-3÷2×(2-3)×2+3÷2of3

3×$$\frac{2}{36}$$-$$\frac{3}{2}$$×(-1)×2+3÷2×3

3×$$\frac{1}{18}$$-$$\frac{3}{2}$$×(-1)×2+$$\frac{3}{6}$$

$$\frac{1}{6}$$+$$\frac{6}{2}$$+$$\frac{1}{2}$$

Take LCM of 6,2,2 you will get 6

= $$\frac{1+18+3}{6}$$

=$$\frac{22}{6}$$

=$$\frac{11}{3}$$