To find out how much time Brianna has for each of the 3 sections of her writing assessment, we need to divide the total time she has (5/6 of an hour) by the number of sections (3).
First, let's perform the calculation:
\[ \text{Time for each section} = \frac{5/6 \text{ hour}}{3} \]
This can be rewritten as:
\[ \text{Time for each section} = \frac{5}{6} \div 3 = \frac{5}{6} \times \frac{1}{3} = \frac{5 \times 1}{6 \times 3} = \frac{5}{18} \text{ hour} \]
Thus, Brianna has \(\frac{5}{18}\) of an hour to spend on each section.
Therefore, the correct answer is: \(\frac{5}{18}\) hour.