Answer
$\frac{73}{168}$
Work Step by Step
We sum from i = low bound to i = high bound.
$\frac{1}{1+5} + \frac{1}{2+5} + \frac{1}{3+5} = \frac{1}{6} + \frac{1}{7} + \frac{1}{8} = \frac{28}{168} + \frac{24}{168} + \frac{21}{168} = \frac{73}{168}$