$$(3\frac{3}{4}\times1\frac{3}{5})\div3\frac{3}{5}$$
$\frac{5}{3}\approx 1.666666667$
$$\frac{\frac{12+3}{4}\times \frac{1\times 5+3}{5}}{\frac{3\times 5+3}{5}}$$
$$\frac{\frac{15}{4}\times \frac{1\times 5+3}{5}}{\frac{3\times 5+3}{5}}$$
$$\frac{\frac{15}{4}\times \frac{5+3}{5}}{\frac{3\times 5+3}{5}}$$
$$\frac{\frac{15}{4}\times \frac{8}{5}}{\frac{3\times 5+3}{5}}$$
$$\frac{\frac{15\times 8}{4\times 5}}{\frac{3\times 5+3}{5}}$$
$$\frac{\frac{120}{20}}{\frac{3\times 5+3}{5}}$$
$$\frac{6}{\frac{3\times 5+3}{5}}$$
$$\frac{6}{\frac{15+3}{5}}$$
$$\frac{6}{\frac{18}{5}}$$
$$6\times \frac{5}{18}$$
$$\frac{6\times 5}{18}$$
$$\frac{30}{18}$$
$$\frac{5}{3}$$
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$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$
