$$4\frac{2}{5}-3\frac{1}{10}-4\frac{8}{9}; +2\frac{1}{10}$$
$-\frac{323}{90}\approx -3.588888889$
$$\frac{20+2}{5}-\frac{3\times 10+1}{10}-\frac{4\times 9+8}{9}$$
$$\frac{22}{5}-\frac{3\times 10+1}{10}-\frac{4\times 9+8}{9}$$
$$\frac{22}{5}-\frac{30+1}{10}-\frac{4\times 9+8}{9}$$
$$\frac{22}{5}-\frac{31}{10}-\frac{4\times 9+8}{9}$$
$$\frac{44}{10}-\frac{31}{10}-\frac{4\times 9+8}{9}$$
$$\frac{44-31}{10}-\frac{4\times 9+8}{9}$$
$$\frac{13}{10}-\frac{4\times 9+8}{9}$$
$$\frac{13}{10}-\frac{36+8}{9}$$
$$\frac{13}{10}-\frac{44}{9}$$
$$\frac{117}{90}-\frac{440}{90}$$
$$\frac{117-440}{90}$$
$$-\frac{323}{90}$$
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$-\frac{323}{90} = -3\frac{53}{90} = -3.588888888888889$
