$$(-(( \frac{ 2 }{ 3 } ) \times ( \frac{ 4 }{ 5 } ) \times ( \frac{ 9 }{ 2 } ))/(( \frac{ 3 }{ 2 } )( \frac{ 8 }{ 9 } )/( \frac{ 1 }{ 2 } ))+ \frac{ 1 }{ 9 }$$
$-\frac{71}{90}\approx -0.788888889$
$$\frac{-\frac{2\times 4}{3\times 5}\times \frac{9}{2}}{\frac{\frac{3}{2}\times \frac{8}{9}}{\frac{1}{2}}}+\frac{1}{9}$$
$$\frac{-\frac{8}{15}\times \frac{9}{2}}{\frac{\frac{3}{2}\times \frac{8}{9}}{\frac{1}{2}}}+\frac{1}{9}$$
$$\frac{-\frac{8\times 9}{15\times 2}}{\frac{\frac{3}{2}\times \frac{8}{9}}{\frac{1}{2}}}+\frac{1}{9}$$
$$\frac{-\frac{72}{30}}{\frac{\frac{3}{2}\times \frac{8}{9}}{\frac{1}{2}}}+\frac{1}{9}$$
$$\frac{-\frac{12}{5}}{\frac{\frac{3}{2}\times \frac{8}{9}}{\frac{1}{2}}}+\frac{1}{9}$$
$$\frac{-\frac{12}{5}}{\frac{\frac{3\times 8}{2\times 9}}{\frac{1}{2}}}+\frac{1}{9}$$
$$\frac{-\frac{12}{5}}{\frac{\frac{24}{18}}{\frac{1}{2}}}+\frac{1}{9}$$
$$\frac{-\frac{12}{5}}{\frac{\frac{4}{3}}{\frac{1}{2}}}+\frac{1}{9}$$
$$\frac{-\frac{12}{5}}{\frac{4}{3}\times 2}+\frac{1}{9}$$
$$\frac{-\frac{12}{5}}{\frac{4\times 2}{3}}+\frac{1}{9}$$
$$\frac{-\frac{12}{5}}{\frac{8}{3}}+\frac{1}{9}$$
$$-\frac{12}{5}\times \frac{3}{8}+\frac{1}{9}$$
$$\frac{-12\times 3}{5\times 8}+\frac{1}{9}$$
$$\frac{-36}{40}+\frac{1}{9}$$
$$-\frac{9}{10}+\frac{1}{9}$$
$$-\frac{81}{90}+\frac{10}{90}$$
$$\frac{-81+10}{90}$$
$$-\frac{71}{90}$$
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$-\frac{71}{90} = -0.7888888888888889$
