$$-1\frac{2}{3}\cdot\frac{14}{25}:1\frac{1}{6}$$
$-\frac{4}{5}=-0.8$
$$\frac{\left(-\frac{3+2}{3}\right)\times \frac{14}{25}}{\frac{1\times 6+1}{6}}$$
$$\frac{-\frac{5}{3}\times \frac{14}{25}}{\frac{1\times 6+1}{6}}$$
$$\frac{\frac{-5\times 14}{3\times 25}}{\frac{1\times 6+1}{6}}$$
$$\frac{\frac{-70}{75}}{\frac{1\times 6+1}{6}}$$
$$\frac{-\frac{14}{15}}{\frac{1\times 6+1}{6}}$$
$$\frac{-\frac{14}{15}}{\frac{6+1}{6}}$$
$$\frac{-\frac{14}{15}}{\frac{7}{6}}$$
$$-\frac{14}{15}\times \frac{6}{7}$$
$$\frac{-14\times 6}{15\times 7}$$
$$\frac{-84}{105}$$
$$-\frac{4}{5}$$
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$-\frac{4}{5} = -0.8$
