You fill the bottle with water, you put a fish in it, you remove half of the water, the bottle is still half full, but if you remove the fish, it will have less water than before.
You fill the bottle with half of the water, you put the fish in, you can fill in the other half. If you start with the first half, you will end up with more water.
You fill the bottle with half of the water, you put the fish in, you can fill in the other half. If you start with the first half, you will end up with more water.