$$5\frac{1}{3}\times1\frac{5}{6}\times\frac{3}{5}$$
$\frac{88}{15}\approx 5.866666667$
$$\frac{15+1}{3}\times \frac{1\times 6+5}{6}\times \frac{3}{5}$$
$$\frac{16}{3}\times \frac{1\times 6+5}{6}\times \frac{3}{5}$$
$$\frac{16}{3}\times \frac{6+5}{6}\times \frac{3}{5}$$
$$\frac{16}{3}\times \frac{11}{6}\times \frac{3}{5}$$
$$\frac{16\times 11}{3\times 6}\times \frac{3}{5}$$
$$\frac{176}{18}\times \frac{3}{5}$$
$$\frac{88}{9}\times \frac{3}{5}$$
$$\frac{88\times 3}{9\times 5}$$
$$\frac{264}{45}$$
$$\frac{88}{15}$$
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$\frac{2 ^ {3} \cdot 11}{3 \cdot 5} = 5\frac{13}{15} = 5.866666666666666$