Roger made a table showing he sleeps 3/8 of a day. How many days will go by before roger has slept the equivalent of one day?

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