$$2 \frac { 5 } { 6 } - \frac{ 3 }{ 4 } + 1 \frac { 1 } { 3 }$$
$\frac{41}{12}\approx 3.416666667$
$$\frac{12+5}{6}-\frac{3}{4}+\frac{1\times 3+1}{3}$$
$$\frac{17}{6}-\frac{3}{4}+\frac{1\times 3+1}{3}$$
$$\frac{34}{12}-\frac{9}{12}+\frac{1\times 3+1}{3}$$
$$\frac{34-9}{12}+\frac{1\times 3+1}{3}$$
$$\frac{25}{12}+\frac{1\times 3+1}{3}$$
$$\frac{25}{12}+\frac{3+1}{3}$$
$$\frac{25}{12}+\frac{4}{3}$$
$$\frac{25}{12}+\frac{16}{12}$$
$$\frac{25+16}{12}$$
$$\frac{41}{12}$$
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$\frac{41}{2 ^ {2} \cdot 3} = 3\frac{5}{12} = 3.4166666666666665$
