To add the fractions \( \frac{8}{9} + \frac{2}{3} + \frac{1}{6} \), we first need a common denominator.
The denominators are 9, 3, and 6. The least common multiple (LCM) of these numbers is 18.
Now, we will convert each fraction to have a denominator of 18:
- \( \frac{8}{9} = \frac{8 \times 2}{9 \times 2} = \frac{16}{18} \)
- \( \frac{2}{3} = \frac{2 \times 6}{3 \times 6} = \frac{12}{18} \)
- \( \frac{1}{6} = \frac{1 \times 3}{6 \times 3} = \frac{3}{18} \)
Now, we can add the fractions:
\[ \frac{16}{18} + \frac{12}{18} + \frac{3}{18} = \frac{16 + 12 + 3}{18} = \frac{31}{18} \]
Thus, the final result is:
\[ \frac{31}{18} \quad \text{or} \quad 1 \frac{13}{18} \]
Considering your list of options, none seem to match the result which does not appear to be represented correctly. However, here is the original answer expressed in a mixed number form for clarity:
1 \( \frac{13}{18} \)