BODMAS rule to solve this question, as per the order given below,

Step- 1- Parts of an equation enclosed in 'Brackets' must be solved first,

Step- 2- Any mathematical 'Of' or 'Exponent' must be solved NEXT,

Step- 3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step- 4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

$(4\FRAC{1}{3} \times 5\frac{1}{3} \div 6\frac{1}{3} \div \frac{1}{3} + 5\frac{1}{3} - 2\frac{1}{3} = ?)$

$(\Rightarrow \;\frac{{13}}{3}\; \times \frac{{16}}{3}\; \div \frac{{19}}{3}\; \div \frac{1}{3} + \frac{{16}}{3} - \frac{7}{3} = \;?)$

$(\Rightarrow \left( {\frac{{13}}{3}\; \times \frac{{16}}{3} \times \frac{3}{{19}} \times 3} \RIGHT) + \frac{{16}}{3} - \frac{7}{3} = \;?)$

$(\Rightarrow \;\frac{{208}}{{\;19}} + \frac{{16}}{3} - \frac{7}{3} = \;?)$

$(\Rightarrow \frac{{624}}{{57}} + \frac{{304}}{{57}} - \frac{{133}}{{57}} = \;?)$

⇒ (795/57) = ?

⇒ ? = 265/19

$(\therefore \;?\; = \;13\frac{{18}}{{19}})$