$$3\times\frac{3}{5}\times1\frac{1}{2}\times\frac{5}{9}$$
$\frac{3}{2}=1.5$
$$\frac{3\times 3}{5}\times \frac{1\times 2+1}{2}\times \frac{5}{9}$$
$$\frac{9}{5}\times \frac{1\times 2+1}{2}\times \frac{5}{9}$$
$$\frac{9}{5}\times \frac{2+1}{2}\times \frac{5}{9}$$
$$\frac{9}{5}\times \frac{3}{2}\times \frac{5}{9}$$
$$\frac{9\times 3}{5\times 2}\times \frac{5}{9}$$
$$\frac{27}{10}\times \frac{5}{9}$$
$$\frac{27\times 5}{10\times 9}$$
$$\frac{135}{90}$$
$$\frac{3}{2}$$
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$\frac{3}{2} = 1\frac{1}{2} = 1.5$
