Bayern extends Bundesliga lead
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Franck Ribery put Bayern in front just before half-time and a David Alaba penalty 15 minutes from time secured the win for the Bavarians, who remain seven points clear at the top of the table with Schalke now their closest challengers.
Frankfurt played with confidence but were unable to follow the example of Bayer Leverkusen, who won at the Allianz Arena a fortnight ago.
The visitors presented themselves for a rare top-of-the-table clash in fine fettle, showing no fear of their opponents and visibly keen to play their own part in the game.
The first chances fell Bayern's way, though, with Arjen Robben finding the side-netting and Ribery finding the offside flag raised as he raced through on goal.
Armin Veh's men missed their first chance of the match in the 18th minute when Stefan Aigner headed over from a good position before Sebastian Rode headed wide.
Kevin Trapp pushed Ribery's shot wide before Alexander Meier sent a header just off target as the play flowed from end to end.
Daniel van Buyten, on for his first appearance of the season after Jerome Boateng limped off, thought he had marked his first game with a goal, but his effort was ruled out before Ribery put Bayern ahead just before the break.
Javi Martinez beat the otherwise reliable Frankfurt offside trap and squared the ball for the Frenchman to slot in from close range.
Bayern almost doubled their lead before the break, but Trapp made two fine saves, first to deny Toni Kroos and then to keep Ribery's follow-up out.
The home side appeared to put their foot down harder in the second half fearing a Frankfurt recovery, and Martinez headed Ribery's cross over the bar in the 65th minute.
Ten minutes later, Bayern were given the chance to make it two when Bastian Schweinsteiger went to ground inside the area and a penalty was given.
Alaba stepped up to convert the spot-kick with a determined effort into the right-hand corner, securing yet another win for Jupp Heynckes' men.