Fraction Frenzy!

Algebra Level 2

From 999999999888888887777777666666555554444333221 999999999888888887777777666666555554444333221 subtract half of it first, then subtract 13 \dfrac{1}{3} of the remaining number, next subtract 14 \dfrac{1}{4} of the remaining number, and so on, until 1999999999888888887777777666666555554444333221 \dfrac{1}{999999999888888887777777666666555554444333221} of the remaining number is subtracted. What is the final resulting number?

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