$$6\frac{3}{4}\div8\frac{3}{5}$$
$\frac{135}{172}\approx 0.784883721$
$$\frac{\left(6\times 4+3\right)\times 5}{4\left(8\times 5+3\right)}$$
$$\frac{\left(24+3\right)\times 5}{4\left(8\times 5+3\right)}$$
$$\frac{27\times 5}{4\left(8\times 5+3\right)}$$
$$\frac{135}{4\left(8\times 5+3\right)}$$
$$\frac{135}{4\left(40+3\right)}$$
$$\frac{135}{4\times 43}$$
$$\frac{135}{172}$$
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$\frac{3 ^ {3} \cdot 5}{2 ^ {2} \cdot 43} = 0.7848837209302325$
