To find out how many more hours of sleep the superhero needs, we can subtract the amount of sleep he got from the amount he needs.
The superhero needs 7 1/3 hours of sleep, which can be expressed as: \[ 7 \frac{1}{3} = 7 + \frac{1}{3} = \frac{21}{3} + \frac{1}{3} = \frac{22}{3} \text{ hours} \]
The superhero got 5 1/3 hours of sleep, which can be expressed as: \[ 5 \frac{1}{3} = 5 + \frac{1}{3} = \frac{15}{3} + \frac{1}{3} = \frac{16}{3} \text{ hours} \]
Now, we subtract the sleep he got from the sleep he needs: \[ \text{Additional sleep needed} = 7 \frac{1}{3} - 5 \frac{1}{3} = \frac{22}{3} - \frac{16}{3} = \frac{22 - 16}{3} = \frac{6}{3} = 2 \text{ hours} \]
Thus, the superhero needs 2 hours more of sleep.