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

Ответ: $$6\frac{5}{9}$$