Use other for plural nouns and another for singular nouns.
We use other with plural or uncountable nouns.
- I have some other books at home.
(Books is plural.)
I have my handbag. My other luggage is in the hotel.
- (Luggage is uncountable.)
We use another with singular nouns.
- I have another blue shirt in my wardrobe.
(Shirt is singular.)
- Another piece of cake please.