What is a fragment , how can you fix it?

A FRAGMENT IS AN INCOMPLETE SENTENCE.

Correcting a Fragment
There are two easy ways to correct a fragment. We'll use the example above to demonstrate each method:

1) Add a comma and connect the clause to the sentence

"In class today we talked about Byron's poem and its main characters, as well as Byron's own life and how it related to his works."

2) If the sentence becomes too long or wordy, add the necessary subject-verb to the clause, creating a second sentence.

"I class today we talked about Byron's poem and its main characters. We also discussed Byron's own life and how it related to his works."