Question

The gas tank in Benjamin's car 4/5 full. He uses 2/3 of the amount of gas that was in his car tank before shopping to refill it. What fraction his gas tank is filled when he stops.

Answer 1

`(7)/(15)`

Explanation:

What we must first is calculate the amount of gas that was used starting from the gas that had, as follows:

`(4)/(5)\cdot(2)/(3)=(4\cdot2)/(5\cdot3)=(8)/(15)`

Now, knowing that this is the current amount of gas, we must calculate the amount needed to fill the tank:

`1-(8)/(15)=(7)/(15)`