$$5\frac{3}{4}-25}{6}+1\frac{7}{8}$$
$-\frac{77}{4}=-19.25$
$$\frac{20+3}{4}-25$$
$$\frac{23}{4}-25$$
$$\frac{23}{4}-\frac{100}{4}$$
$$\frac{23-100}{4}$$
$$-\frac{77}{4}$$
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$-\frac{77}{4} = -19\frac{1}{4} = -19.25$