$$\frac{1}{4}\cdot\frac{5}{6}+10\%-\frac{10}{5}$$
$-\frac{203}{120}\approx -1.691666667$
$$\frac{1\times 5}{4\times 6}+\frac{10}{100}-\frac{10}{5}$$
$$\frac{5}{24}+\frac{10}{100}-\frac{10}{5}$$
$$\frac{5}{24}+\frac{1}{10}-\frac{10}{5}$$
$$\frac{25}{120}+\frac{12}{120}-\frac{10}{5}$$
$$\frac{25+12}{120}-\frac{10}{5}$$
$$\frac{37}{120}-\frac{10}{5}$$
$$\frac{37}{120}-2$$
$$\frac{37}{120}-\frac{240}{120}$$
$$\frac{37-240}{120}$$
$$-\frac{203}{120}$$
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$-\frac{203}{120} = -1\frac{83}{120} = -1.6916666666666667$