Answer:
2.66 days
Step-by-step explanation:
We know that a day has 24 hours, so if Roger sleeps 3/8 of a day that means that he sleeps 3/8 • 24 which equals to 9 hours.
Now we want to know how many days it takes Roger to sleep an equivalent of a day if he sleeps 9 hours a day. So:
24 h / 9 h = 2.66 days
Of course we can do it in an easier way, in fractions:
1 : 3/8 = 8/3
8/3 = 2.66 days