$$\frac { - 4 } { 5 } \times \frac { 3 } { 7 } \times \frac { 5 } { 16 } \times ( \frac { - 14 } { 9 } )$$
$\frac{1}{6}\approx 0.166666667$
$$-\frac{4}{5}\times \frac{3}{7}\times \frac{5}{16}\times \frac{-14}{9}$$
$$\frac{-4\times 3}{5\times 7}\times \frac{5}{16}\times \frac{-14}{9}$$
$$\frac{-12}{35}\times \frac{5}{16}\times \frac{-14}{9}$$
$$-\frac{12}{35}\times \frac{5}{16}\times \frac{-14}{9}$$
$$\frac{-12\times 5}{35\times 16}\times \frac{-14}{9}$$
$$\frac{-60}{560}\times \frac{-14}{9}$$
$$-\frac{3}{28}\times \frac{-14}{9}$$
$$-\frac{3}{28}\left(-\frac{14}{9}\right)$$
$$\frac{-3\left(-14\right)}{28\times 9}$$
$$\frac{42}{252}$$
$$\frac{1}{6}$$
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$\frac{1}{2 \cdot 3} = 0.16666666666666666$