$$(\frac{8}{27})+(\frac{4}{9})-20(\frac{2}{3})+12$$
$-\frac{16}{27}\approx -0.592592593$
$$\frac{8}{27}+\frac{12}{27}-20\times \frac{2}{3}+12$$
$$\frac{8+12}{27}-20\times \frac{2}{3}+12$$
$$\frac{20}{27}-20\times \frac{2}{3}+12$$
$$\frac{20}{27}-\frac{20\times 2}{3}+12$$
$$\frac{20}{27}-\frac{40}{3}+12$$
$$\frac{20}{27}-\frac{360}{27}+12$$
$$\frac{20-360}{27}+12$$
$$-\frac{340}{27}+12$$
$$-\frac{340}{27}+\frac{324}{27}$$
$$\frac{-340+324}{27}$$
$$-\frac{16}{27}$$
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$-\frac{16}{27} = -0.5925925925925926$