# "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 $a + b$.

###### Credit: My former Trig teacher's worksheet of Russian rational expressions
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