To find out how much time Brianna has to spend on each section of the writing assessment, we start with the total amount of time she has, which is \( \frac{5}{6} \) of an hour. Since there are 3 sections, we need to divide the total time by the number of sections.
The amount of time for each section is calculated as follows:
\[ \text{Time per section} = \frac{\text{Total time}}{\text{Number of sections}} = \frac{\frac{5}{6}}{3} \]
To divide a fraction by a whole number, we can multiply by the reciprocal of the whole number. Thus, we can write:
\[ \frac{\frac{5}{6}}{3} = \frac{5}{6} \times \frac{1}{3} = \frac{5 \times 1}{6 \times 3} = \frac{5}{18} \]
Now, we find that Brianna has \( \frac{5}{18} \) of an hour to spend on each section.
To convert that into minutes, we recall that 1 hour is 60 minutes. Thus we multiply:
\[ \frac{5}{18} \text{ hours} \times 60 \text{ minutes/hour} = \frac{5 \times 60}{18} \text{ minutes} = \frac{300}{18} \text{ minutes} = \frac{50}{3} \text{ minutes} \approx 16.67 \text{ minutes} \]
Thus, Brianna has \( \frac{5}{18} \) of an hour, or approximately 16 minutes and 40 seconds, to spend on each section.