To find the weight of ground cinnamon in each package, we start with the total weight of cinnamon the spice merchant has, which is \( \frac{5}{6} \) of a pound. He divided this amount into 5 equal packages.
To calculate the weight of cinnamon in each package, we divide the total weight by the number of packages:
\[ \text{Weight of each package} = \frac{5/6}{5} \]
This division can be rewritten as multiplying by the reciprocal:
\[ \text{Weight of each package} = \frac{5}{6} \times \frac{1}{5} \]
Simplifying this:
\[ \text{Weight of each package} = \frac{5 \times 1}{6 \times 5} = \frac{5}{30} \]
Now, simplifying \( \frac{5}{30} \):
\[ \frac{5}{30} = \frac{1}{6} \]
Thus, the weight of ground cinnamon in each package is
\[ \boxed{\frac{1}{6}} \text{ pounds} \]