To add the fractions \( \frac{11}{18} \) and \( \frac{2}{9} \) together, we need to find a common denominator. In this case, the least common multiple of 18 and 9 is 18. So, we rewrite the fractions with the common denominator:
\( \frac{11}{18} + \frac{2}{9} = \frac{11 \cdot 1}{18 \cdot 1} + \frac{2 \cdot 2}{9 \cdot 2} \)
\( = \frac{11}{18} + \frac{4}{18} \)
Now that the fractions have the same denominator, we can add the numerators:
\( = \frac{11 + 4}{18} = \frac{15}{18} \)
Finally, we can simplify the fraction by dividing both the numerator and denominator by the greatest common divisor, which is 3:
\( \frac{15}{18} = \frac{5}{6} \)
Therefore, the sum of \( \frac{11}{18} + \frac{2}{9} \) is \( \frac{5}{6} \).
