$$\frac { 1 } { 6 } \times 8.9 - 1.7 \times 3.1 \div 8.4 \div 1.4 \cdot 4.60$$
$-\frac{1133}{1960}\approx -0.578061224$
$$\frac{1}{6}\times \frac{89}{10}-\frac{\frac{1.7\times 3.1}{8.4}}{1.4}\times 4.6$$
$$\frac{1\times 89}{6\times 10}-\frac{\frac{1.7\times 3.1}{8.4}}{1.4}\times 4.6$$
$$\frac{89}{60}-\frac{\frac{1.7\times 3.1}{8.4}}{1.4}\times 4.6$$
$$\frac{89}{60}-\frac{1.7\times 3.1}{8.4\times 1.4}\times 4.6$$
$$\frac{89}{60}-\frac{5.27}{8.4\times 1.4}\times 4.6$$
$$\frac{89}{60}-\frac{5.27}{11.76}\times 4.6$$
$$\frac{89}{60}-\frac{527}{1176}\times 4.6$$
$$\frac{89}{60}-\frac{527}{1176}\times \frac{23}{5}$$
$$\frac{89}{60}-\frac{527\times 23}{1176\times 5}$$
$$\frac{89}{60}-\frac{12121}{5880}$$
$$\frac{8722}{5880}-\frac{12121}{5880}$$
$$\frac{8722-12121}{5880}$$
$$\frac{-3399}{5880}$$
$$-\frac{1133}{1960}$$
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$-\frac{1133}{1960} = -0.5780612244897959$
