$$-0.9\cdot(-\frac{4}{9})$$
$0.4$
$$-\frac{9}{10}\left(-\frac{4}{9}\right)$$
$$\frac{-9\left(-4\right)}{10\times 9}$$
$$\frac{36}{90}$$
$$\frac{2}{5}$$
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$\frac{2}{5} = 0.4$