$$3\frac{1}{5}\div2\frac{2}{3}$$
$\frac{6}{5}=1.2$
$$\frac{\left(3\times 5+1\right)\times 3}{5\left(2\times 3+2\right)}$$
$$\frac{\left(15+1\right)\times 3}{5\left(2\times 3+2\right)}$$
$$\frac{16\times 3}{5\left(2\times 3+2\right)}$$
$$\frac{48}{5\left(2\times 3+2\right)}$$
$$\frac{48}{5\left(6+2\right)}$$
$$\frac{48}{5\times 8}$$
$$\frac{48}{40}$$
$$\frac{6}{5}$$
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$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$
