Which is a sentence fragment? a. one of the twentieth century’s finest ballet dancers, mikhail baryshnikov is known throughout the world. b. because he is one of the twentieth century’s finest ballet dancers, mikhail baryshnikov is known throughout the world. c. mikhail baryshnikov, one of the twentieth century’s finest ballet dancers and known throughout the world. d. mikhail baryshnikov, one of the twentieth century’s finest ballet dancers, is known throughout the world.

Sentence fragments refer to the group of words which is not a sentence but appear to be. In a sentence, it needs to have an independent clause to convey a meaning.

Independent clauses refer to the groups of words which can stand independently and create a meaning. An independent clause has a subject and a verb.

For example, I went to the market, but forgot to take money.

Further, sentence fragments do not consist of an independent clause and have a dependent phrase or clauses. When read closely sentence fragmented does not convey meaning and masquerade like a sentence, beginning with a capital letter and ending with a period.

Therefore, from the following sentence fragment is,

C. Mikhail Baryshnikov, one of the twentieth century’s finest ballet dancers and known throughout the world.

The above fragment sentence does not convey complete meaning and contains dependent clause "and known throughout the world."