A sentence fragment lacks either a subject, or predicate, or both. It expresses an incomplete thought -- leaving out information crucial to the reader's understanding of what you are trying to say.
Some examples of sentence fragments:
Wrong:I met her at the airport. Coming in from New York. (Who was coming in from New York?) Right:I met her at the airport; she was coming in from New York. orI met her at the airport. She was coming in from New York.
Wrong:If he could just get organized.(What would be the result?) Right:If he could just get organized, he could accomplish so much more.
Wrong:I don't believe you meant to lie. Or cause any harm. Right:I don't believe you meant to lie or cause any harm.
Watch out for phrases beginning in "Because," "Such as," or "For example." These can signal sentence fragments:
Wrong: Such as a new labor market that can supplement the current staff of C&C Industries.
In business and professional writing, it is almost always best to write in complete sentences, so you don't confuse your readers.