# Seems Easy?

Consider the set$$A$$ of numbers $${1,\frac{1}{2},\frac{1}{3},.....,\frac{1}{2012}}$$ . We delete two of them say $$a$$ and $$b$$ and in their place we put only one number $$a+b+ab$$. After performing the operation 2011 times what is the number that is left over.

Note- It's an old NMTC Junior level problem

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