$$3 - 3 \frac { 2 } { 5 } + 6 \frac { 1 } { 10 } - 2 \frac { 1 } { 6 }$$
$\frac{53}{15}\approx 3.533333333$
$$3-\frac{15+2}{5}+\frac{6\times 10+1}{10}-\frac{2\times 6+1}{6}$$
$$3-\frac{17}{5}+\frac{6\times 10+1}{10}-\frac{2\times 6+1}{6}$$
$$\frac{15}{5}-\frac{17}{5}+\frac{6\times 10+1}{10}-\frac{2\times 6+1}{6}$$
$$\frac{15-17}{5}+\frac{6\times 10+1}{10}-\frac{2\times 6+1}{6}$$
$$-\frac{2}{5}+\frac{6\times 10+1}{10}-\frac{2\times 6+1}{6}$$
$$-\frac{2}{5}+\frac{60+1}{10}-\frac{2\times 6+1}{6}$$
$$-\frac{2}{5}+\frac{61}{10}-\frac{2\times 6+1}{6}$$
$$-\frac{4}{10}+\frac{61}{10}-\frac{2\times 6+1}{6}$$
$$\frac{-4+61}{10}-\frac{2\times 6+1}{6}$$
$$\frac{57}{10}-\frac{2\times 6+1}{6}$$
$$\frac{57}{10}-\frac{12+1}{6}$$
$$\frac{57}{10}-\frac{13}{6}$$
$$\frac{171}{30}-\frac{65}{30}$$
$$\frac{171-65}{30}$$
$$\frac{106}{30}$$
$$\frac{53}{15}$$
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$\frac{53}{3 \cdot 5} = 3\frac{8}{15} = 3.533333333333333$
