I asked my friend if she talked about me behind my back but she denied it. But I know that she really did talk about me behind my back. I don't know if I should end the friendship or try to work it out. If I do end the friendship how would I do it?

You really need to openly talk to your friend and find out who's lying about what. Tell your friend why you think she's lying.

A true friend wouldn't talk behind your back, but you need to get the details of "why and what was said" directly from the horse's mouth, then make the decision about whether you want to continue the friendship or not.

You are right now I just have to decide if I want to continue the friendship or not.

I would talk to her. And if she was talking behind your back she's not a true friend, true friends don't talk about other friends. I would try to slowly stop talking to her. Try going out with other friends and always be "to busy" for her.

Good luck.

Thanks for the suggestion.