Final answer:
There are 0 gallons of gas remaining in the tank.
Step-by-step explanation:
To find out how many gallons of gas are remaining in the tank, we need to subtract the total amount of gas consumed during the trip from the initial amount of gas in the tank.
Initial amount of gas: 15 1/5 gallons
Gas refueled during the trip: 5 3/5 gallons
Gas consumed during the trip: 17 4/5 gallons
To subtract mixed numbers, we need to convert them to improper fractions:
Initial amount of gas: 15 1/5 gallons = 15 + 1/5 = 75/5 + 1/5 = 76/5 gallons
Gas refueled during the trip: 5 3/5 gallons = 5 + 3/5 = 25/5 + 3/5 = 28/5 gallons
Gas consumed during the trip: 17 4/5 gallons = 17 + 4/5 = 85/5 + 4/5 = 89/5 gallons
Now, subtract the gas consumed from the initial amount of gas:
Gas remaining = Initial amount of gas - Gas consumed during the trip = 76/5 - 89/5 = (76 - 89)/5 = -13/5 gallons
Since we can't have a negative amount of gas remaining, the answer is 0 gallons of gas remaining in the tank.