$$1-(\frac{5}{9}-\frac{3}{15})+\frac{-2}{3}$$
$-\frac{1}{45}\approx -0.022222222$
$$1-\left(\frac{5}{9}-\frac{1}{5}\right)+\frac{-2}{3}$$
$$1-\left(\frac{25}{45}-\frac{9}{45}\right)+\frac{-2}{3}$$
$$1-\frac{25-9}{45}+\frac{-2}{3}$$
$$1-\frac{16}{45}+\frac{-2}{3}$$
$$\frac{45}{45}-\frac{16}{45}+\frac{-2}{3}$$
$$\frac{45-16}{45}+\frac{-2}{3}$$
$$\frac{29}{45}+\frac{-2}{3}$$
$$\frac{29}{45}-\frac{2}{3}$$
$$\frac{29}{45}-\frac{30}{45}$$
$$\frac{29-30}{45}$$
$$-\frac{1}{45}$$
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$-\frac{1}{45} = -0.022222222222222223$
