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1/1997, 2/1996, 3/1995, … , 999/999 where the sum of the numerator and denominator is 1998....

1/1997, 2/1996, 3/1995, … , 999/999 where the sum of the numerator and denominator is 1998.

How many of these 999 fractions are simplified or irreducible (where the numerator and denominators have no common factors other than one).

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