8)22-0

$$ 2\frac{5}{9} \cdot 2\frac{1}{4} - 6\frac{2}{9} \cdot \frac{3}{8} = \frac{2 \cdot 9 + 5}{9} \cdot \frac{2 \cdot 4 + 1}{4} - \frac{6 \cdot 9 + 2}{9} \cdot \frac{3}{8} = \frac{23}{9} \cdot \frac{9}{4} - \frac{56}{9} \cdot \frac{3}{8} = \frac{23 \cdot 9}{9 \cdot 4} - \frac{56 \cdot 3}{9 \cdot 8} = \frac{23}{4} - \frac{7 \cdot 8 \cdot 3}{9 \cdot 8} = \frac{23}{4} - \frac{7 \cdot 3}{9} = \frac{23}{4} - \frac{7}{3} = \frac{23 \cdot 3}{4 \cdot 3} - \frac{7 \cdot 4}{3 \cdot 4} = \frac{69}{12} - \frac{28}{12} = \frac{41}{12} = 3\frac{5}{12} $$

Ответ: $$3\frac{5}{12}$$