Let a, b, c, d, e are integers satisfying the following expression. Find the value of a+b+c+d+e?

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Question 5 (APMOPS 2018-MOC). Let a, b, c, d, e are integers satisfying the following expression:

$$\frac{501}{2015} = \frac{1}{a+ \frac{1}{b+ \frac{1}{c+ \frac{1}{d+ \frac{1}{e}}}}}$$

Find the value of $a + b + c + d + e$?