A Piece Of Cake?

It's a kind of card games with a theme of the Fraction,
designed for 2 players.
Fundamentally, its rule is similar to NIM.
　
- Game Flow -
[1]
The order is decided at random,
then cards will be distributed..
　
[2]
The active player chooses a card
from the hand.
　
[3]
Pieces as many as the size
on chosen card will be taken.
　
If all pieces are taken completely,
a new whole cake will appear.
　
[4]
Each whole cake has 12 pieces.
The number of pieces players got
will be the score.
　
[5]
The order becomes opposite,
and next round will begin.
　
[6]
After completing all the 4 rounds,
more scored player is the winner.