Suppose I have to divide $10$ indivisible parts between three parties.
Each party has a certain "weight", suppose they are $5:2:4$ (together $11$).
The weights mean that the best division is to award each party a $5/11:2/11:4/11$ share.
So e.g. $11$ indivisible parts must be divided as $5:2:4$.
What would be the rule to take $1$ away from one of them?
I can divide the $10$ as:
$4,2,4$
$5,2,3$
$5,1,4$
$6,1,3$
etc.
Which is best and which mathematical calculation describes it?