a) $$S = a \cdot b$$
$$S = 5\frac{1}{7} \cdot \frac{4}{9} = \frac{36}{7} \cdot \frac{4}{9} = \frac{4 \cdot 9}{7} \cdot \frac{4}{9} = \frac{4}{7} \cdot 4 = \frac{16}{7} = 2\frac{2}{7}$$
Ответ: $$2\frac{2}{7}$$