$$( 3 \frac { 19 } { 20 } - \frac { 7 } { 12 } ) \div 1 \frac { 5 } { 6 }$$
$\frac{101}{55}\approx 1.836363636$
$$\frac{\frac{60+19}{20}-\frac{7}{12}}{\frac{1\times 6+5}{6}}$$
$$\frac{\frac{79}{20}-\frac{7}{12}}{\frac{1\times 6+5}{6}}$$
$$\frac{\frac{237}{60}-\frac{35}{60}}{\frac{1\times 6+5}{6}}$$
$$\frac{\frac{237-35}{60}}{\frac{1\times 6+5}{6}}$$
$$\frac{\frac{202}{60}}{\frac{1\times 6+5}{6}}$$
$$\frac{\frac{101}{30}}{\frac{1\times 6+5}{6}}$$
$$\frac{\frac{101}{30}}{\frac{6+5}{6}}$$
$$\frac{\frac{101}{30}}{\frac{11}{6}}$$
$$\frac{101}{30}\times \frac{6}{11}$$
$$\frac{101\times 6}{30\times 11}$$
$$\frac{606}{330}$$
$$\frac{101}{55}$$
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$\frac{101}{5 \cdot 11} = 1\frac{46}{55} = 1.8363636363636364$