$$-2 \frac{ 1 }{ 9 } -(-4 \frac{ 2 }{ 11 } +1 \frac{ 8 }{ 9 } )$$
$\frac{2}{11}\approx 0.181818182$
$$-\frac{18+1}{9}-\left(-\frac{4\times 11+2}{11}+\frac{1\times 9+8}{9}\right)$$
$$-\frac{19}{9}-\left(-\frac{4\times 11+2}{11}+\frac{1\times 9+8}{9}\right)$$
$$-\frac{19}{9}-\left(-\frac{44+2}{11}+\frac{1\times 9+8}{9}\right)$$
$$-\frac{19}{9}-\left(-\frac{46}{11}+\frac{1\times 9+8}{9}\right)$$
$$-\frac{19}{9}-\left(-\frac{46}{11}+\frac{9+8}{9}\right)$$
$$-\frac{19}{9}-\left(-\frac{46}{11}+\frac{17}{9}\right)$$
$$-\frac{19}{9}-\left(-\frac{414}{99}+\frac{187}{99}\right)$$
$$-\frac{19}{9}-\frac{-414+187}{99}$$
$$-\frac{19}{9}-\left(-\frac{227}{99}\right)$$
$$-\frac{19}{9}+\frac{227}{99}$$
$$-\frac{209}{99}+\frac{227}{99}$$
$$\frac{-209+227}{99}$$
$$\frac{18}{99}$$
$$\frac{2}{11}$$
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$\frac{2}{11} = 0.18181818181818182$
