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 \( \frac{5}{6} \) hour to complete 3 sections.
To find the time for each section, we divide \( \frac{5}{6} \) by 3:
\[ \text{Time per section} = \frac{5/6}{3} \]
This can be rewritten as:
\[ \text{Time per section} = \frac{5}{6} \times \frac{1}{3} \]
Now, multiply the numerators and then the denominators:
\[ \text{Time per section} = \frac{5 \times 1}{6 \times 3} = \frac{5}{18} \]
Thus, Brianna has \( \frac{5}{18} \) of an hour to spend on each section.
To convert this to minutes (since there are 60 minutes in an hour), we can multiply by 60:
\[ \frac{5}{18} \times 60 = \frac{5 \times 60}{18} = \frac{300}{18} = \frac{50}{3} \text{ minutes} \approx 16.67 \text{ minutes} \]
So Brianna has approximately 16 minutes and 40 seconds for each section.