Answer:
Roger will have to sleep 2.667 days.
Step-by-step explanation:
If Roger sleeps 3 / 8 of a day in one day.
Then for Roger to sleep the equivalent of one day he will have to sleep
[tex]=\frac{1}{\frac{3}{8}} = \frac{8}{3} = 2\frac{2}{3} = 2.667\hspace{0.1cm} days[/tex]