# "Spoooooooky" Russian rational expressions 1

Algebra Level 2

$\mathscr{E} = \left( \dfrac{2016}{2017^2} - \dfrac{1}{2016} \right) \div \left( \dfrac{1}{2017} + \dfrac{1}{2016} \right)$

If $$\mathscr{E}$$ can be represented in the form $$-\dfrac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers, find $$a + b$$.

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