$$2 \frac{ 1 }{ 3 } +3 \frac{ 1 }{ 2 } -1 \frac{ 5 }{ 6 }$$
$4$
$$\frac{6+1}{3}+\frac{3\times 2+1}{2}-\frac{1\times 6+5}{6}$$
$$\frac{7}{3}+\frac{3\times 2+1}{2}-\frac{1\times 6+5}{6}$$
$$\frac{7}{3}+\frac{6+1}{2}-\frac{1\times 6+5}{6}$$
$$\frac{7}{3}+\frac{7}{2}-\frac{1\times 6+5}{6}$$
$$\frac{14}{6}+\frac{21}{6}-\frac{1\times 6+5}{6}$$
$$\frac{14+21}{6}-\frac{1\times 6+5}{6}$$
$$\frac{35}{6}-\frac{1\times 6+5}{6}$$
$$\frac{35}{6}-\frac{6+5}{6}$$
$$\frac{35}{6}-\frac{11}{6}$$
$$\frac{35-11}{6}$$
$$\frac{24}{6}$$
$$4$$
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$2^{2}$