$$5 \frac { 10 } { 3 } \times 1 \frac { 5 } { 6 } \times \frac { 3 } { 5 }$$
$\frac{55}{6}\approx 9.166666667$
$$\frac{15+10}{3}\times \frac{1\times 6+5}{6}\times \frac{3}{5}$$
$$\frac{25}{3}\times \frac{1\times 6+5}{6}\times \frac{3}{5}$$
$$\frac{25}{3}\times \frac{6+5}{6}\times \frac{3}{5}$$
$$\frac{25}{3}\times \frac{11}{6}\times \frac{3}{5}$$
$$\frac{25\times 11}{3\times 6}\times \frac{3}{5}$$
$$\frac{275}{18}\times \frac{3}{5}$$
$$\frac{275\times 3}{18\times 5}$$
$$\frac{825}{90}$$
$$\frac{55}{6}$$
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$\frac{5 \cdot 11}{2 \cdot 3} = 9\frac{1}{6} = 9.166666666666666$