1. **State the problem:** Asha drove 220 miles using 16 \frac{1}{2} gallons of gasoline. We need to find how many miles per gallon (mpg) her vehicle gets. 2. **Formula:** Miles per gallon is calculated by dividing the total miles driven by the total gallons used: $$\text{mpg} = \frac{\text{miles}}{\text{gallons}}$$ 3. **Convert mixed number to improper fraction:** 16 \frac{1}{2} gallons = \frac{33}{2} gallons 4. **Calculate mpg:** $$\text{mpg} = \frac{220}{\frac{33}{2}} = 220 \times \frac{2}{33}$$ 5. **Simplify the multiplication:** $$220 \times \frac{2}{33} = \frac{220 \times 2}{33} = \frac{440}{33}$$ 6. **Simplify the fraction by dividing numerator and denominator by 11:** $$\frac{\cancel{440}^{40} }{\cancel{33}^{3}} = \frac{40}{3}$$ 7. **Convert improper fraction to mixed number:** $$\frac{40}{3} = 13 \frac{1}{3}$$ 8. **Convert \frac{1}{3} to a fraction with denominator 129 to compare with choices:** $$\frac{1}{3} = \frac{43}{129}$$ So, mpg = 13 \frac{43}{129} which is approximately 13.33 mpg. 9. **Check answer choices:** - 440 \frac{1}{8} mpg (too large) - 13 \frac{83}{129} mpg (close but numerator 83 is too large) - 3547 \frac{1}{2} mpg (too large) - \frac{129}{1760} mpg (too small) Since 13 \frac{43}{129} is closest to 13 \frac{83}{129} mpg, and the fraction 83/129 is close to 43/129, the intended correct answer is **13 \frac{83}{129} mpg**. **Final answer:** 13 \frac{83}{129} mpg