How to split six cups for five cats?

Give each cat one cup.

All cats have 1 cup now and there is one extra.

Take that extra cup and split it into 1/5s (because there is 1 cup left and 5 cats)

You should have 5 sets of 1/5s

Give each cat a set.

Each cat should now have 1 1/5 a cup.

The answer is 1 1/5 but the above should explain how.

1 2/10 cups for each cat.