1. The problem asks to convert 9 2 1/2 gallons (gal) into quarts (qt). 2. Recall the conversion factor: 1 gallon = 4 quarts. 3. First, convert the mixed number 2 1/2 to an improper fraction: $$2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2}$$ 4. Now express the total gallons as a sum: $$9 + \frac{5}{2} = \frac{18}{2} + \frac{5}{2} = \frac{23}{2}$$ 5. Multiply the total gallons by 4 quarts per gallon to convert to quarts: $$\frac{23}{2} \times 4 = \frac{23}{2} \times \frac{4}{1}$$ 6. Simplify by canceling common factors: $$\frac{23}{\cancel{2}} \times \frac{\cancel{4}}{1} = 23 \times 2 = 46$$ 7. Therefore, 9 2 1/2 gallons equals 46 quarts. Final answer: 46 qt