A graphic artist needs to create 17 different illustrations for a report. Each illustration takes about 5 8 hour to prepare, and she will need an additional 2 1 3 hours to insert the illustrations into the report. How long will it take to complete her work on the report?

To solve the problem, we calculate the total time for illustrations and insertion:

1. The total time for all illustrations:
17 \times \frac{5}{8} = \frac{85}{8} = \frac{35}{8} \text{ hours}

2. Convert the additional time for insertion into an improper fraction:
2 \frac{1}{3} = \frac{7}{3}

3. Convert both fractions to a common denominator of 24:
\frac{35}{8} = \frac{105}{24}
\frac{7}{3} = \frac{56}{24}

4. Add the two fractions:
\frac{105}{24} + \frac{56}{24} = \frac{161}{24}

5. Convert the improper fraction to a mixed number:
\frac{161}{24} = 6 \frac{17}{24} \text{ hours}

So, the artist will need a total of 6 \frac{17}{24} hours to complete the report.