This is the 460th most frequent Slovenian word.
polovici
"Polovici" in English means "halves."
The word 'polovici' is used to mean 'halves' (two parts of a whole) in the dative/locative plural case form in this sentence.
Razdelili smo torto na dve polovici.
We divided the cake into two halves.
Here 'polovica' refers to one half of something (a specific portion of a whole) in its singular nominative form.
Vsaka polovica kolača je bila enako velika.
Each half of the cake was equally large.
In this example, 'polovici' indicates 'halfway' or 'at the middle point' in a figurative sense, used in the locative case to denote position.