A subordinate clause is patterned like a sentence, with both a subject and a verb, but it begins with a word that marks it as subordinate. The following words commonly introduce subordinate clauses: after, although, because, before, if, so that, though, unless, until, when, where, which, and who.
Most fragmented clauses can be pulled into a sentence nearby.
If a fragmented clause cannot be attached to a nearby sentence, try rewriting it. The simplest way to turn a fragmented clause into a sentence is to delete the opening word or words that mark it as subordinate.