$$3\frac{1}{5}\div1\frac{1}{2}=$$
$\frac{32}{15}\approx 2.133333333$
$$\frac{\left(3\times 5+1\right)\times 2}{5\left(1\times 2+1\right)}$$
$$\frac{\left(15+1\right)\times 2}{5\left(1\times 2+1\right)}$$
$$\frac{16\times 2}{5\left(1\times 2+1\right)}$$
$$\frac{32}{5\left(1\times 2+1\right)}$$
$$\frac{32}{5\left(2+1\right)}$$
$$\frac{32}{5\times 3}$$
$$\frac{32}{15}$$
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$\frac{2 ^ {5}}{3 \cdot 5} = 2\frac{2}{15} = 2.1333333333333333$
