Divisors obey Distributive Law/Proof 2

Theorem
In modern algebraic language:
 * $a = \dfrac 1 n b, c = \dfrac 1 n d \implies a + c = \dfrac 1 n \left({b + d}\right)$

Proof
A direct application of the Distributive Property:
 * $\dfrac 1 n b + \dfrac 1 n d = \dfrac 1 n \left({b + d}\right)$