a, b, c, d, e represent five non-zero natural numbers (can be the same) and the following equation is established: 1-(1/(2+(1/(3+(1/(4+(1/5 )))))))=(1/(a+(1/(b+(1/(c+(1/(d+(1/(e)))))))))). Find the sum of a, b, c, d, e.
a、b、c、d、e代表五个非零自然数(可以相同)且下面的等式成立：1-(1/(2+(1/(3+(1/(4+(1/5)))))))=(1/(a+(1/(b+(1/(c+(1/(d+(1/(e))))))))))．求a、b、c、d、e的和．
<gadget id="calculator">1 + 1 + 3 + 4 + 5</gadget>
<output>14</output>

<result>14</result>