This is the 573rd most frequent French word.
moitié
"Moitié" means "half" in English.
Here, 'moitié' is used as a noun to represent 'half' of something specific, the cake in this case.
J'ai mangé la moitié du gâteau.
I ate half of the cake.
Here, 'moitié' is part of the adverbial phrase 'à moitié', indicating a partial or incomplete agreement.
Il est à moitié d'accord avec moi.
He is halfway in agreement with me.
In this example, 'moitié' is used as a partitive noun, indicating a portion of an object when split evenly.