Given that \lim_{x\to5} f(x) = 5 and \lim_{x\to5} g(x) = 6, evaluate \lim_{x\to5} \frac{{f(x) + g(x)}}{{5f(x)}}. If the limit does not exist, enter DNE. What is the value of the limit?
A) DNE
B) 0
C) 1
D) 2