Xavier's car used \( 1 \frac{1}{3} \) gallons to travel 59 miles. How many miles can the car go on one gallon o gas?
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To find out how many miles Xavier's car can go on one gallon of gas, we can divide the total miles traveled by the total gallons used. First, convert \( 1 \frac{1}{3} \) gallons to an improper fraction: \( 1 \frac{1}{3} = \frac{4}{3} \) gallons. Now, divide the miles by the gallons: \[ \text{Miles per gallon} = \frac{59 \text{ miles}}{\frac{4}{3} \text{ gallons}} = 59 \times \frac{3}{4} = \frac{177}{4} = 44.25 \] So, Xavier's car can travel 44.25 miles on one gallon of gas! To double-check your calculations, it’s often helpful to assess how you're converting fractions or performing division with fractions. One common mistake is neglecting to simplify correctly. Be sure to convert mixed numbers to improper fractions and pay attention to how you multiply and divide to prevent any computational errors.