$$2 \frac { 4 } { 5 } - 3 \frac { 1 } { 7 } + 2 \frac { 5 } { 9 }$$
$\frac{697}{315}\approx 2.212698413$
$$\frac{10+4}{5}-\frac{3\times 7+1}{7}+\frac{2\times 9+5}{9}$$
$$\frac{14}{5}-\frac{3\times 7+1}{7}+\frac{2\times 9+5}{9}$$
$$\frac{14}{5}-\frac{21+1}{7}+\frac{2\times 9+5}{9}$$
$$\frac{14}{5}-\frac{22}{7}+\frac{2\times 9+5}{9}$$
$$\frac{98}{35}-\frac{110}{35}+\frac{2\times 9+5}{9}$$
$$\frac{98-110}{35}+\frac{2\times 9+5}{9}$$
$$-\frac{12}{35}+\frac{2\times 9+5}{9}$$
$$-\frac{12}{35}+\frac{18+5}{9}$$
$$-\frac{12}{35}+\frac{23}{9}$$
$$-\frac{108}{315}+\frac{805}{315}$$
$$\frac{-108+805}{315}$$
$$\frac{697}{315}$$
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$\frac{17 \cdot 41}{3 ^ {2} \cdot 5 \cdot 7} = 2\frac{67}{315} = 2.212698412698413$
