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

ANSWER:

$\frac{7}{15}$

STEP-BY-STEP EXPLANATION:

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

$\frac{4}{5}\cdot\frac{2}{3}=\frac{4\cdot2}{5\cdot3}=\frac{8}{15}$

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

$1-\frac{8}{15}=\frac{7}{15}$