\(\frac59-0{,}9=-\frac{13}{45}\).
\(-\frac{13}{45}\cdot24=-\frac{104}{15}\).
\(-\frac{104}{15}-11\frac35=-\frac{279}{15}=-\frac{93}{5}\).
\(-\frac{93}{5}\cdot(-0{,}2)=\frac{93}{25}\).
\(\frac{93}{25}+\frac57=\frac{776}{175}\).
\(\frac{776}{175}\cdot\left(-\frac17\right)=-\frac{776}{1225}\).
\(-\frac{776}{1225}\cdot\frac{35}{43}=-\frac{16}{35}\).
Ответ: \(-\frac{16}{35}\).