1. **State the problem:** We are asked to evaluate the correct unit conversion expression from the given options involving euros, liters, gallons, and dollars. 2. **Understand the units and conversions:** - 1.35 euros per 1 liter (euros/L) - 1 liter = 0.264 gallons (gal) - 1 dollar = 0.622 euros 3. **Goal:** Convert 1.35 euros per liter to dollars per gallon. 4. **Set up the conversion:** Start with 1.35 euros/L and convert to dollars/gal. 5. **Step-by-step conversion:** - Convert euros to dollars: since 1 dollar = 0.622 euros, then $$\frac{1\text{ dollar}}{0.622\text{ euros}}$$ - Convert liters to gallons: since 1 liter = 0.264 gallons, then $$\frac{1\text{ L}}{0.264\text{ gal}}$$ 6. **Combine all factors:** $$1.35\frac{\text{euros}}{\text{L}} \times \frac{1\text{ L}}{0.264\text{ gal}} \times \frac{1\text{ dollar}}{0.622\text{ euros}}$$ 7. **Cancel units:** - euros cancel - liters cancel 8. **Calculate the numeric value:** $$\frac{1.35 \times 1 \times 1}{1 \times 0.264 \times 0.622} = \frac{1.35}{0.164208} \approx 8.22$$ 9. **Interpretation:** The expression converts 1.35 euros per liter to approximately 8.22 dollars per gallon. 10. **Identify the correct option:** The expression matches option (1): $$1.35\frac{\text{euros}}{\text{L}} \times \frac{1\text{ L}}{0.264\text{ gal}} \times \frac{1.00\text{ dollar}}{0.622\text{ euros}}$$ **Final answer:** Option 1