Решить по действиям. В ответе должно получится 16/35.

$1) 7\frac{5}{12} -5 \frac{3}{4} = 7 \frac{5}{12} -5 \frac{9}{12} =\frac{89-69}{12} = \frac{20}{12}= 1 \frac{2}{3} \\\\ 2) \frac{5}{3} : \frac{45}{2}= \frac{5}{3}*\frac{2}{45} = \frac{2}{27}\\\\3) \frac{2}{27}+10\frac{5}{18}= \frac{4}{54}+10 \frac{15}{54} = 10\frac{19}{54}\\\\4) \frac{22}{9}: \frac{559}{54} = \frac{22}{9}*\frac{54}{559} = \frac{132}{559}\\\\5) \frac{2}{5}- \frac{4}{5} = -\frac{2}{5}\\\\6) \frac{132}{559} - \frac{2}{5} = \frac{660}{2795}- \frac{1118}{2795} = -\frac{458}{2795} \\$
Ответ: $- \frac{458}{2795}$