This is the 84th most frequent Danish word.
allerede
Already.
In this sentence, 'allerede' indicates that the action (eaten) has occurred before now.
Jeg har allerede spist.
I have already eaten.
In this usage, 'allerede' emphasizes that the knowledge (of the answer) preceded another event (the question being asked).
Han vidste allerede svaret, før spørgsmålet blev stillet.
He already knew the answer before the question was asked.
Here, 'allerede' denotes that the state (being closed) has occurred earlier than perhaps expected or noted.