$$10\frac{1}{9} - 3\frac{5}{9} = (10-3) + (\frac{1}{9} - \frac{5}{9}) = 7 - \frac{4}{9} = 6\frac{9}{9} - \frac{4}{9} = 6\frac{5}{9}$$
Ответ: $$6\frac{5}{9}$$