2. Выполним действия:
$$ \frac{27}{34} \cdot (6 - \frac{24}{9}) = \frac{27}{34} \cdot (\frac{6 \cdot 9}{9} - \frac{24}{9}) = \frac{27}{34} \cdot (\frac{54}{9} - \frac{24}{9}) = \frac{27}{34} \cdot \frac{30}{9} = \frac{27}{34} \cdot \frac{3 \cdot 10}{9} = \frac{3 \cdot 9}{34} \cdot \frac{10}{9} = \frac{3 \cdot 10}{34} = \frac{30}{34} = \frac{15}{17} $$.
Ответ: $$\frac{15}{17}$$