$$\frac{9}{9}+\frac{2}{5}\times\frac{4}{9}=$$
$\frac{53}{45}\approx 1.177777778$
$$1+\frac{2}{5}\times \frac{4}{9}$$
$$1+\frac{2\times 4}{5\times 9}$$
$$1+\frac{8}{45}$$
$$\frac{45}{45}+\frac{8}{45}$$
$$\frac{45+8}{45}$$
$$\frac{53}{45}$$
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$\frac{53}{3 ^ {2} \cdot 5} = 1\frac{8}{45} = 1.1777777777777778$