\(8\frac{4}{17}-\left[\left(2+3\right)\frac{5}{9}+\frac{4}{17}\right]=8\frac{4}{17}-5\frac{121}{153}=\frac{22}{9}\)
\(A=8\frac{4}{17}-\left(2\frac{5}{9}+3\frac{4}{17}\right)\)
\(A=8\frac{4}{17}-2\frac{5}{9}-3\frac{4}{17}\)
\(A=\left(8\frac{4}{17}-3\frac{4}{17}\right)-2\frac{5}{9}\)
\(A=5-2\frac{5}{9}=5-\frac{23}{9}=\frac{22}{9}\)