$$\quad 6 \frac { 1 } { 3 } - 2 \frac { 4 } { 5 } + 1 \frac { 7 } { 15 }$$
$5$
$$\frac{18+1}{3}-\frac{2\times 5+4}{5}+\frac{1\times 15+7}{15}$$
$$\frac{19}{3}-\frac{2\times 5+4}{5}+\frac{1\times 15+7}{15}$$
$$\frac{19}{3}-\frac{10+4}{5}+\frac{1\times 15+7}{15}$$
$$\frac{19}{3}-\frac{14}{5}+\frac{1\times 15+7}{15}$$
$$\frac{95}{15}-\frac{42}{15}+\frac{1\times 15+7}{15}$$
$$\frac{95-42}{15}+\frac{1\times 15+7}{15}$$
$$\frac{53}{15}+\frac{1\times 15+7}{15}$$
$$\frac{53}{15}+\frac{15+7}{15}$$
$$\frac{53}{15}+\frac{22}{15}$$
$$\frac{53+22}{15}$$
$$\frac{75}{15}$$
$$5$$
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