These fragments can be gathered together to make amulets, and produce gold when doing so. The gold provided depends on your total skill level and how many fragments you are combining/making into amulets. It can also be increased with a transmutation tablet in your inventory. You will get gold for combining fragments and making amulets.
Right-click 'Combine fragments' takes all of the fragments in your inventory, regardless of size, and attempts to make the highest number fragment it can. For example, if you have the following: