1. **State the problem:** Jenna spent $2 \frac{4}{5}$ hours on homework. The time spent on homework is $1 \frac{1}{3}$ hours more than the time spent on exercising. We need to find how many hours Jenna spent on homework and exercising combined. 2. **Convert mixed numbers to improper fractions:** - Homework time: $2 \frac{4}{5} = \frac{2 \times 5 + 4}{5} = \frac{14}{5}$ hours. - Difference in time: $1 \frac{1}{3} = \frac{1 \times 3 + 1}{3} = \frac{4}{3}$ hours. 3. **Find the time spent on exercising:** Since homework time is $1 \frac{1}{3}$ hours more than exercising, we have: $$\text{Homework} = \text{Exercising} + \frac{4}{3}$$ So, $$\text{Exercising} = \text{Homework} - \frac{4}{3} = \frac{14}{5} - \frac{4}{3}$$ 4. **Calculate the exercising time:** Find common denominator for $\frac{14}{5}$ and $\frac{4}{3}$, which is 15. $$\frac{14}{5} = \frac{14 \times 3}{15} = \frac{42}{15}$$ $$\frac{4}{3} = \frac{4 \times 5}{15} = \frac{20}{15}$$ Subtract: $$\frac{42}{15} - \frac{20}{15} = \frac{22}{15}$$ So, exercising time is $\frac{22}{15}$ hours or $1 \frac{7}{15}$ hours. 5. **Find total time spent:** Add homework and exercising times: $$\frac{14}{5} + \frac{22}{15}$$ Convert $\frac{14}{5}$ to fifteenths: $$\frac{14}{5} = \frac{42}{15}$$ Add: $$\frac{42}{15} + \frac{22}{15} = \frac{64}{15}$$ Convert to mixed number: $$\frac{64}{15} = 4 \frac{4}{15}$$ **Final answer:** Jenna spent $4 \frac{4}{15}$ hours on homework and exercising combined.