a) \(5 \frac{1}{3} - 2 \frac{1}{4} \cdot 2 \frac{4}{5} = \frac{16}{3} - \frac{9}{4} \cdot \frac{14}{5} = \frac{16}{3} - \frac{9 \cdot 14}{4 \cdot 5} = \frac{16}{3} - \frac{126}{20} = \frac{16}{3} - \frac{63}{10} = \frac{160 - 189}{30} = -\frac{29}{30}\)