A super hero needs 7 1/3 hours of sleep to save the day, but only gets 5 1/3 hours. How many more hours of sleep does the superhero need? [__] hours.

Answer 1

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.