The numbers 1/1,1/2,…..,1/2010 are written on a blackboard.A student chooses any two of the numbers,say x ,y,erases them and then writes down x+y+xy.He continues to do this until only one number is left on the blackboard.What is this number?

问题描述:

The numbers 1/1,1/2,…..,1/2010 are written on a blackboard.A student chooses any two of the numbers,say x ,y,erases them and then writes down x+y+xy.He continues to do this until only one number is left on the blackboard.What is this number?