⑩ $$1\frac{8}{17} : (\frac{12}{17} + 2\frac{4}{11})$$

⑩ $$1\frac{8}{17} : (\frac{12}{17} + 2\frac{4}{11}) = \frac{25}{17} : (\frac{12}{17} + \frac{26}{11}) = \frac{25}{17} : (\frac{12 \cdot 11 + 26 \cdot 17}{17 \cdot 11}) = \frac{25}{17} : (\frac{132 + 442}{187}) = \frac{25}{17} : \frac{574}{187} = \frac{25}{17} \cdot \frac{187}{574} = \frac{25 \cdot 11}{574} = \frac{275}{574}$$.

Ответ: $$\frac{275}{574}$$