It was the 38th straight home win for the Orange, the longest current streak in major college basketball.
Both Fair and Southerland scored 20 points while Syracuse shot 58 percent as a team. The Orange limited Providence to 16 points during the first half and built a 27-point lead.
Providence had won four in a row, a stretch that included victories over Cincinnati and Notre Dame.
Michael Carter-Williams added 15 points and 12 assists for Syracuse (22-4, 10-3 Big East), a winner of four of its last five games.
The Friars (14-12, 6-8) were paced by LaDontae Henton and Vincent Council with 15 points each.