The following endgame example illustrates how to turn a one pawn advantage into a win:
The conversion of an extra pawn falls into three phases: 1) the King is activated. 1.Kf1
1…Ke7 2.Ke2 Kd6 3.Kd3 Kd5 2)Mobilization of the majority. 4.b4
Mobilize by moving the “candidate”, which is the unopposed pawn.4…Kc6 5.Kc4 h5 6.a4 h4 7.b5+ Kb6 8.Kb4 g5 9.a5+
9…Kb7 10.Kc5 Kc7 11.b6+ axb6+ 12.axb6+ Kb7
3) The King goes to the Kingside to gobble up the Black pawns (transformation of one advantage to another):13.Kd6 Kxb6 14.Ke7 f5 15.Kf6+- .