To add the fractions \( \frac{7}{9} \) and \( \frac{5}{18} \), we first need a common denominator. The least common multiple of 9 and 18 is 18.
Now, we can rewrite \( \frac{7}{9} \) with 18 as the denominator:
\[ \frac{7}{9} = \frac{7 \times 2}{9 \times 2} = \frac{14}{18} \]
Next, we add \( \frac{14}{18} \) and \( \frac{5}{18} \):
\[ \frac{14}{18} + \frac{5}{18} = \frac{14 + 5}{18} = \frac{19}{18} \]
Thus, \( \frac{19}{18} \) can be expressed as:
\[ 1 \frac{1}{18} \]
So, the final answer in the requested format is:
\[ 1\ \ 1\ /\ 18 \]