We have:
- After she drinks 1/4 L and
[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]so, she has 3/4 L remaining.
- If she then drinks 2/3 of this, will remain in the bottle:
[tex]\frac{2}{3}\times\frac{3}{4}=\frac{6}{12}=\frac{1}{2}[/tex]Answer: 1/2 of the bottle