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?

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Thenumbers1/1,1/2,…..,1/2010arewrittenonablackboard.Astudentchoosesanytwoofthenumbers,sayx,y,erasest

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?
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?

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?
2010

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