# Easy one!

Algebra Level 2

$\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\ldots\left(1-\frac{1}{999}\right)\left(1-\frac{1}{1000}\right)$

If the value of the expression above can be expressed as $$\frac ab$$ for coprime positive integers $$a$$ and $$b$$, find the value of $$a+b$$.

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