$$1\frac{4}{9}-(\frac{3}{5}+\frac{2}{3})$$
$\frac{8}{45}\approx 0.177777778$
$$\frac{9+4}{9}-\left(\frac{3}{5}+\frac{2}{3}\right)$$
$$\frac{13}{9}-\left(\frac{3}{5}+\frac{2}{3}\right)$$
$$\frac{13}{9}-\left(\frac{9}{15}+\frac{10}{15}\right)$$
$$\frac{13}{9}-\frac{9+10}{15}$$
$$\frac{13}{9}-\frac{19}{15}$$
$$\frac{65}{45}-\frac{57}{45}$$
$$\frac{65-57}{45}$$
$$\frac{8}{45}$$
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$\frac{2 ^ {3}}{3 ^ {2} \cdot 5} = 0.17777777777777778$