2. Выполните действия: (9-2\frac{2}{3}·2\frac{1}{7}):\frac{21}{46}.

(9-2\frac{2}{3} \cdot 2\frac{1}{7}):\frac{21}{46} = (9 - \frac{8}{3} \cdot \frac{15}{7}):\frac{21}{46} = (9 - \frac{8 \cdot 15}{3 \cdot 7}):\frac{21}{46} = (9 - \frac{8 \cdot 5}{1 \cdot 7}):\frac{21}{46} = (9 - \frac{40}{7}):\frac{21}{46} = (\frac{9 \cdot 7}{7} - \frac{40}{7}):\frac{21}{46} = (\frac{63}{7} - \frac{40}{7}):\frac{21}{46} = \frac{23}{7}:\frac{21}{46} = \frac{23}{7} \cdot \frac{46}{21} = \frac{23 \cdot 46}{7 \cdot 21} = \frac{1058}{147} = 7\frac{29}{147}

Ответ: $$7\frac{29}{147}$$