Today the word I’ve met is cutting a cake into~.

 

Cutting a cake 

I cut a cake into four pieces.
I cut into four quarters.
I quartered a cake.

I cut(split) a cake in half.
I cut a cake into layers.

 

fraction

1/2=> one half or a half
1/3=> one third or a third
2/3=> two third
1/4=> one fourth or a quarter

1/5=> one 5th(fifth) or a fifth
1/8=> one eighth or an eighth
1/10=> one tenth