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