$$\frac{8}{9}\times\frac{4}{5}+\frac{5}{6}-\frac{9}{5}\times\frac{8}{9}$$
$-\frac{1}{18}\approx -0.055555556$
$$\frac{8\times 4}{9\times 5}+\frac{5}{6}-\frac{9}{5}\times \frac{8}{9}$$
$$\frac{32}{45}+\frac{5}{6}-\frac{9}{5}\times \frac{8}{9}$$
$$\frac{64}{90}+\frac{75}{90}-\frac{9}{5}\times \frac{8}{9}$$
$$\frac{64+75}{90}-\frac{9}{5}\times \frac{8}{9}$$
$$\frac{139}{90}-\frac{9}{5}\times \frac{8}{9}$$
$$\frac{139}{90}-\frac{9\times 8}{5\times 9}$$
$$\frac{139}{90}-\frac{8}{5}$$
$$\frac{139}{90}-\frac{144}{90}$$
$$\frac{139-144}{90}$$
$$\frac{-5}{90}$$
$$-\frac{1}{18}$$
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$-\frac{1}{18} = -0.05555555555555555$