To find out how much time Brianna has for each section, we need to divide the total time she has by the number of sections.
Brianna has a total of \( \frac{5}{6} \) of an hour and there are 3 sections.
To calculate the time for each section:
\[ \text{Time per section} = \frac{\frac{5}{6} \text{ hour}}{3} \]
This can be written as:
\[ \text{Time per section} = \frac{5}{6} \div 3 = \frac{5}{6} \times \frac{1}{3} \]
Now we proceed with the multiplication:
\[ \frac{5 \times 1}{6 \times 3} = \frac{5}{18} \]
Therefore, Brianna has \( \frac{5}{18} \) of an hour to spend on each section.