\(\frac{17}{9} - \frac{2}{9} \cdot \frac{1}{4} = \frac{17}{9} - \frac{2}{36} = \frac{17}{9} - \frac{1}{18} = \frac{34}{18} - \frac{1}{18} = \frac{33}{18} = \frac{11}{6}\)
Ответ: \(\frac{11}{6}\)