# 5 x 13 x 31 = 2015

Number Theory Level 4

The fraction $$\frac{1}{2015}$$ can be uniquely expressed in the following form:

$\frac{a}{5} + \frac{b}{13} + \frac{c}{31},$

where $$0 \leq a < 5$$ and $$0 \leq b < 13$$.

Find $$a + b$$.

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