To find out how many hours of homework Olivia does in 5 days, we first need to calculate the total time she spends on homework each day and then multiply that by the number of days.
- Olivia spends \( \frac{5}{6} \) of an hour on homework each day.
- To find the total time spent on homework over 5 days, we multiply the daily homework time by the number of days:
\[ \text{Total homework time} = \left(\frac{5}{6} \text{ hours/day}\right) \times 5 \text{ days} \]
- Performing the multiplication:
\[ \text{Total homework time} = \frac{5 \times 5}{6} = \frac{25}{6} \text{ hours} \]
- To convert \( \frac{25}{6} \) hours into a mixed number:
\[ \frac{25}{6} \text{ hours} = 4 \text{ hours} \text{ and } \frac{1}{6} \text{ hour} \]
Therefore, in 5 days, Olivia does \( \frac{25}{6} \) hours or 4 hours and \( \frac{1}{6} \) hour of homework.