Just had this issue yesterday.
When you want to be sure, to craft, for e.g. an uncommon item, all fragments must be uncommon.
Mixing fragments is pure lottery.
You could try crafting an cav artifact with 4x GL and 1x epic: The result could be an epic item. Regardless of the stage which smithing you're at.
It's just pure luck.
Even the reached smithing stage doesn't help anything.
You could have reached Master Smithing or even not reached Basic Smithing: For e.g.: The result of crafting an common item could both times lead to an +1 item.