Take a look at the passage again:
To save money on a haircut that he badly needed.
Raja let Tina, his roommate and an aspiring stylist,
trim his shaggy head. Honestly, a blender or a weed whacker could
have done a better job!
You chose the second part, Raja let Tina, his roommate and an aspiring stylist, trim his shaggy head. This part has a main clause: Raja is the subject; let is the verb. A fragment will not have a main clause.
Go back to the passage to try again.