1. **State the problem:** Darren practices piano 5 days a week, each day for $\frac{3}{4}$ of an hour. We need to find the total hours he practices in a week and express the answer as a reduced mixed number. 2. **Formula:** Total hours = Number of days $\times$ Hours per day 3. **Calculate:** $$\text{Total hours} = 5 \times \frac{3}{4} = \frac{5 \times 3}{4} = \frac{15}{4}$$ 4. **Convert to mixed number:** Divide 15 by 4: $$15 \div 4 = 3 \text{ remainder } 3$$ So, $$\frac{15}{4} = 3 \frac{3}{4}$$ 5. **Final answer:** Darren practices $3 \frac{3}{4}$ hours in a week. This means he practices 3 full hours plus an additional $\frac{3}{4}$ of an hour each week.