To find out how many hours of homework Olivia does in 5 days, we can multiply the amount of homework time she sets aside each day by the number of days.
Olivia sets aside \( \frac{5}{6} \) of an hour for homework each day. Therefore, in 5 days, the total time she spends on homework is:
\[ 5 \times \frac{5}{6} = \frac{25}{6} \]
Now, we can convert \( \frac{25}{6} \) hours into a mixed number to understand it better:
\[ \frac{25}{6} = 4 \frac{1}{6} \]
This means that Olivia does 4 hours and \( \frac{1}{6} \) of an hour of homework in 5 days.
To express \( \frac{1}{6} \) of an hour in minutes, we can multiply it by 60 (since there are 60 minutes in an hour):
\[ \frac{1}{6} \times 60 = 10 \text{ minutes} \]
So, Olivia does a total of 4 hours and 10 minutes of homework in 5 days.
Thus, the final answer is:
\[ \frac{25}{6} \text{ hours or 4 hours and 10 minutes} \]