Question

The gas tank of a car is 2/3 full. A trip uses up ¼ of the gas in the tank. How full is the tank at the end of the trip?

Answer 1

Answer:
`(1)/(2)` of the gas tank left

Explanation:

We can create an equation to solve for how full the tank is at the end of the trip. To do this, we will subtract the gas used from the total gas to find the ending amount left over.

Since the trip uses ¼ of the gas in the tank, we will multiply the gas in the tank by ¼ and subtract this from the gas in the tank.

`\displaystyle (2)/(3)- ( (2)/(3) *(1)/(4))\;\;=\;\; (2)/(3) -(2)/(12)\;\; =\;\; (4)/(6)- (1)/(6) \;\;=\;\;(3)/(6)\;\; =\;\;(1)/(2) \;\text{of the gas tank left}`