$$(\frac{4}{9}\times1\frac{4}{5})\times\frac{5}{4}$$
$1$
$$\frac{4}{9}\times \frac{5+4}{5}\times \frac{5}{4}$$
$$\frac{4}{9}\times \frac{9}{5}\times \frac{5}{4}$$
$$\frac{4\times 9}{9\times 5}\times \frac{5}{4}$$
$$\frac{4}{5}\times \frac{5}{4}$$
$$1$$
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