Sentence fragments: Fragment sentences are unfinished sentences, i.e. they don't contain a complete idea. A common fragment sentence in student writing is a dependent clause standing alone without an independent clause. In the each of the following examples the fragment is the second 'sentence', shown in red:
Because I didn't study.
Which wasn't a very good idea.
After falling asleep on the sofa.
Slamming the door behind her.
The famous scientist who left Europe to live in the USA.
After riding my bike without problems for over a year, the chain broke. 40 kilometers from my house!