You will need to purchase 5.25 gallons of fuel to fill up your 14-gallon tank, based on it being 5/8 full. The answer, in decimal form to the nearest hundredth of a gallon, is 5.25 gallons.
To determine the amount of fuel needed to fill up your tank, you can multiply the tank capacity by the fraction of the tank that is empty.
In this case, your tank is 5/8 full, meaning it is 3/8 empty (1 - 5/8 = 3/8). To find out how much fuel you need to fill it up, multiply the tank capacity (14 gallons) by the fraction that is empty (3/8):
14 gallons * (3/8) = 5.25 gallons
Therefore, you will need to purchase 5.25 gallons of fuel to fill up your tank to its 14-gallon capacity. In decimal form to the nearest hundredth of a gallon, the answer is 5.25 gallons.
Complete question:
You are driving along and see that your tank is 5/8 full. The tank holds 14 gallons of gas. You need to fill up before a long drive. How much fuel should register on the gas pump when your car is full, assuming the gas gauge reading is precise? Your answer should be in decimal form to the nearest hundredth of a gallon. You will purchase ______ gallons