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\frac{2001}{1001}-\frac{2002}{1001}
Convert 2 to fraction \frac{2002}{1001}.
\frac{2001-2002}{1001}
Since \frac{2001}{1001} and \frac{2002}{1001} have the same denominator, subtract them by subtracting their numerators.
-\frac{1}{1001}
Subtract 2002 from 2001 to get -1.