By Moses Adeyemi
Ramsey scored the game’s only goal after 12 minutes, smashing in from 10 yards after the Gunners had twice been denied from close range.
Burnley’s George Boyd miscued the hosts’ best chance in a second half lacking clear-cut opportunities, and Arsene Wenger’s side held on for an eighth straight Premier League win.
The result leaves the Gunners four points off league leaders Chelsea, who have two games in hand, while Burnley remain two points from safety in the relegation places with six games remaining.
Alexis Sanchez had the first chance of the game for Arsenal, but blazed an effort over from 10 yards as the ball fell kindly to him in the area.
But Wenger’s in-form side were ahead shortly after courtesy of Welshman Ramsey, despite Burnley’s best efforts to keep out two previous efforts.