Joey's father stops at the gas station to buy gas. the car has a 16-gallon tank, and the fuel gauge says there is 3/8 of a tank of gas. if joey's father buys 6 gallons of gas, what fraction of the tank will car's fuel gauge read?

The fraction of the tank after adding 6 gallons of gas will be 6/8 of the tank

Step-by-step explanation:

Joey's father stops at the gas station to buy gas.

The car has a 16 gallons tank, and the fuel gauge says there is 3/8 of a tank of gas.

The car has (3/8)*16 gallons, it means 48/8 = 6 Gallons.

If Joey's father buys 6 gallons. The car will have the previous volume plus the 6 gallons.

6 + 6 = 12 gallons.

The new volume of gas in the tank will be 12 gallons.

Finally, we can find the fraction of the total volume which should be 16 gallons.

F = 12/16 = 6/8

The fraction of the tank read will be 6/8 after adding 6 gallons.