ANSWER:
[tex]\frac{7}{15}[/tex]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:
[tex]\frac{4}{5}\cdot\frac{2}{3}=\frac{4\cdot2}{5\cdot3}=\frac{8}{15}[/tex]Now, knowing that this is the current amount of gas, we must calculate the amount needed to fill the tank:
[tex]1-\frac{8}{15}=\frac{7}{15}[/tex]