$$(-2/3+3/5)+(-5/9)=$$
$-\frac{28}{45}\approx -0.622222222$
$$-\frac{2}{3}+\frac{3}{5}+\frac{-5}{9}$$
$$-\frac{10}{15}+\frac{9}{15}+\frac{-5}{9}$$
$$\frac{-10+9}{15}+\frac{-5}{9}$$
$$-\frac{1}{15}+\frac{-5}{9}$$
$$-\frac{1}{15}-\frac{5}{9}$$
$$-\frac{3}{45}-\frac{25}{45}$$
$$\frac{-3-25}{45}$$
$$-\frac{28}{45}$$
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$-\frac{28}{45} = -0.6222222222222222$