2. Выполните действия: a) \(\left(9-2\frac{2}{3} \cdot 2\frac{1}{7}\right) \cdot \frac{21}{46}\)

a) $$ \left(9-2\frac{2}{3} \cdot 2\frac{1}{7}\right) \cdot \frac{21}{46} = \left(9 - \frac{8}{3} \cdot \frac{15}{7}\right) \cdot \frac{21}{46} = \left(9 - \frac{8 \cdot 5}{1 \cdot 7}\right) \cdot \frac{21}{46} = \left(9 - \frac{40}{7}\right) \cdot \frac{21}{46} = \left(\frac{63}{7} - \frac{40}{7}\right) \cdot \frac{21}{46} = \frac{23}{7} \cdot \frac{21}{46} = \frac{1}{1} \cdot \frac{3}{2} = \frac{3}{2} = 1\frac{1}{2} $$

Ответ: $$1\frac{1}{2}$$