Question

Julien fills up his gas tank completely before starting his drive. When he reaches his destination, he notices that he's used 3 2/9 gallons of gasoline. If his gas tank can hold 12 1/2 gallons of gasoline, how much gasoline, in gallons, is left in Julien's car?

Answer 1

Julien has 167/18 gallons of gasoline left in his car.

Step-by-step explanation:

To find out how much gasoline is left in Julien's car, subtract the amount of gasoline he used from the capacity of his gas tank. First, convert the mixed number 3 2/9 gallons to an improper fraction. This is done by multiplying the whole number (3) by the denominator (9), adding the result to the numerator (2), and putting the sum over the denominator. So, 3 2/9 is equal to (3 * 9 + 2)/9, which equals 29/9 gallons. Next, find the difference by subtracting 29/9 gallons from 12 1/2 gallons. Convert 12 1/2 gallons to an improper fraction, which is (12 * 2 + 1)/2, equaling 25/2 gallons. Subtract 29/9 gallons from 25/2 gallons by finding a common denominator. The common denominator is 18. Multiply the numerator and denominator of 29/9 by 2 to get 58/18. Similarly, multiply the numerator and denominator of 25/2 by 9 to get 225/18. Subtract 58/18 from 225/18 to get (225 - 58) / 18, which is 167/18. Therefore, Julien has 167/18 gallons of gasoline left in his car.