1. **State the problem:** Jon spent $1 \frac{1}{2}$ hours on her devices for 6 days, and Jack spent $2 \frac{1}{4}$ hours on his devices for 4 days this week. We need to find the total time each spent on their devices. 2. **Convert mixed numbers to improper fractions:** - Jon's time per day: $1 \frac{1}{2} = \frac{3}{2}$ hours - Jack's time per day: $2 \frac{1}{4} = \frac{9}{4}$ hours 3. **Calculate total time spent:** - Jon's total time: $6 \times \frac{3}{2} = \frac{18}{2} = 9$ hours - Jack's total time: $4 \times \frac{9}{4} = \frac{36}{4} = 9$ hours 4. **Interpretation:** Both Jon and Jack spent 9 hours on their devices this week. **Final answer:** Jon spent 9 hours and Jack spent 9 hours on their devices this week.