Question: has the vice president ever broken a tie in the senate

Answer: Yes, The Vice President of the United States is the ex officio President of the Senate, as provided in Article I, Section 3, Clause 4, of the United States Constitution, but may only vote in order to break a tie. According to the U.S. Senate, as of February 28, 2018, a tie-breaking vote had been cast 264 times by 36 vice presidents.