$$\frac{2}{5}\times\frac{-3}{7}-\frac{1}{6}\times\frac{3}{6}+\frac{1}{14}\times\frac{2}{5}$$
$-\frac{19}{84}\approx -0.226190476$
$$\frac{2}{5}\left(-\frac{3}{7}\right)-\frac{1}{6}\times \frac{3}{6}+\frac{1}{14}\times \frac{2}{5}$$
$$\frac{2\left(-3\right)}{5\times 7}-\frac{1}{6}\times \frac{3}{6}+\frac{1}{14}\times \frac{2}{5}$$
$$\frac{-6}{35}-\frac{1}{6}\times \frac{3}{6}+\frac{1}{14}\times \frac{2}{5}$$
$$-\frac{6}{35}-\frac{1}{6}\times \frac{3}{6}+\frac{1}{14}\times \frac{2}{5}$$
$$-\frac{6}{35}-\frac{1}{6}\times \frac{1}{2}+\frac{1}{14}\times \frac{2}{5}$$
$$-\frac{6}{35}-\frac{1\times 1}{6\times 2}+\frac{1}{14}\times \frac{2}{5}$$
$$-\frac{6}{35}-\frac{1}{12}+\frac{1}{14}\times \frac{2}{5}$$
$$-\frac{72}{420}-\frac{35}{420}+\frac{1}{14}\times \frac{2}{5}$$
$$\frac{-72-35}{420}+\frac{1}{14}\times \frac{2}{5}$$
$$-\frac{107}{420}+\frac{1}{14}\times \frac{2}{5}$$
$$-\frac{107}{420}+\frac{1\times 2}{14\times 5}$$
$$-\frac{107}{420}+\frac{2}{70}$$
$$-\frac{107}{420}+\frac{1}{35}$$
$$-\frac{107}{420}+\frac{12}{420}$$
$$\frac{-107+12}{420}$$
$$\frac{-95}{420}$$
$$-\frac{19}{84}$$
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$-\frac{19}{84} = -0.2261904761904762$
