Вычислим: $$ 7 - (1 + \frac{2}{9}) = 7 - (\frac{9}{9} + \frac{2}{9}) = 7 - \frac{11}{9} = \frac{7 \cdot 9}{9} - \frac{11}{9} = \frac{63}{9} - \frac{11}{9} = \frac{63 - 11}{9} = \frac{52}{9} = 5\frac{7}{9} $$
Ответ: $$ 5\frac{7}{9} $$.