1. The problem is to convert $6 \frac{3}{5}$ hours into hours and minutes. 2. First, understand that $6 \frac{3}{5}$ hours means 6 hours plus $\frac{3}{5}$ of an hour. 3. To convert the fractional hour to minutes, use the fact that 1 hour = 60 minutes. 4. Calculate the minutes: $$\frac{3}{5} \times 60 = \frac{3 \times 60}{5} = \frac{180}{5} = 36$$ minutes. 5. So, $6 \frac{3}{5}$ hours equals 6 hours and 36 minutes. 6. Final answer: **6 hours and 36 minutes**.