To find the sum of the fractions \(\frac{1}{9}\), \(\frac{2}{3}\), and \(\frac{5}{18}\), we follow these steps:
1. Find a common denominator for the fractions:
- The denominators are 9, 3, and 18.
- The least common multiple (LCM) of 9, 3, and 18 is 18. Therefore, the common denominator is 18.
2. Convert each fraction to have the common denominator:
- \(\frac{1}{9} = \frac{1 \times 2}{9 \times 2} = \frac{2}{18}\)
- \(\frac{2}{3} = \frac{2 \times 6}{3 \times 6} = \frac{12}{18}\)
- \(\frac{5}{18}\) is already in terms of the common denominator.
3. Add the fractions:
- \(\frac{2}{18} + \frac{12}{18} + \frac{5}{18} = \frac{2 + 12 + 5}{18} = \frac{19}{18}\)
Therefore, the sum of \(\frac{1}{9}\), \(\frac{2}{3}\), and \(\frac{5}{18}\) is \(\frac{19}{18}\).
The best answer is:
C. [tex]\(\frac{19}{18}\)[/tex]
