$$\frac{-8}{9}\div(-1\frac{2}{3})-15\cdot3+1\cdot85$$
$\frac{608}{15}\approx 40.533333333$
$$\frac{-\frac{8}{9}}{-\frac{1\times 3+2}{3}}-15\times 3+1\times 85$$
$$\frac{-\frac{8}{9}}{-\frac{3+2}{3}}-15\times 3+1\times 85$$
$$\frac{-\frac{8}{9}}{-\frac{5}{3}}-15\times 3+1\times 85$$
$$-\frac{8}{9}\left(-\frac{3}{5}\right)-15\times 3+1\times 85$$
$$\frac{-8\left(-3\right)}{9\times 5}-15\times 3+1\times 85$$
$$\frac{24}{45}-15\times 3+1\times 85$$
$$\frac{8}{15}-15\times 3+1\times 85$$
$$\frac{8}{15}-45+1\times 85$$
$$\frac{8}{15}-\frac{675}{15}+1\times 85$$
$$\frac{8-675}{15}+1\times 85$$
$$-\frac{667}{15}+1\times 85$$
$$-\frac{667}{15}+85$$
$$-\frac{667}{15}+\frac{1275}{15}$$
$$\frac{-667+1275}{15}$$
$$\frac{608}{15}$$
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$\frac{2 ^ {5} \cdot 19}{3 \cdot 5} = 40\frac{8}{15} = 40.53333333333333$