Mixed divided with frac

There are 2 2/3 pizzas. How many people are sharing when each has 2/3 of pizza?

Correct result:

n =  4

Solution:

$$\begin{gathered} p=2{\displaystyle \frac{2}{3}}={\displaystyle \frac{2\cdot 3+2}{3}}={\displaystyle \frac{8}{3}}\doteq 2.6667 \\ a={\displaystyle \frac{2}{3}}\doteq 0.6667 \\ n=p\mathrm{/}a=2.6667\mathrm{/}0.6667=4 \end{gathered}$$

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