A fatty acid which has all possible hydrogen atoms bonding to each carbon atom would be a saturated fatty acid.

Here's why:

* Saturated fatty acids have single bonds between all carbon atoms in their hydrocarbon chain. This means that each carbon atom is bonded to the maximum number of hydrogen atoms possible.

* Unsaturated fatty acids, on the other hand, have one or more double or triple bonds between carbon atoms. This means that some carbon atoms have fewer hydrogen atoms attached to them.

Let me know if you'd like more details on the structure and properties of fatty acids!