$$(5 \frac{ 1 }{ 3 } \times 3 \frac{ 1 }{ 6 } -3 \frac{ 1 }{ 3 } \times 2 \frac{ 1 }{ 6 } )$$
$\frac{29}{3}\approx 9.666666667$
$$\frac{15+1}{3}\times \frac{3\times 6+1}{6}-\frac{3\times 3+1}{3}\times \frac{2\times 6+1}{6}$$
$$\frac{16}{3}\times \frac{3\times 6+1}{6}-\frac{3\times 3+1}{3}\times \frac{2\times 6+1}{6}$$
$$\frac{16}{3}\times \frac{18+1}{6}-\frac{3\times 3+1}{3}\times \frac{2\times 6+1}{6}$$
$$\frac{16}{3}\times \frac{19}{6}-\frac{3\times 3+1}{3}\times \frac{2\times 6+1}{6}$$
$$\frac{16\times 19}{3\times 6}-\frac{3\times 3+1}{3}\times \frac{2\times 6+1}{6}$$
$$\frac{304}{18}-\frac{3\times 3+1}{3}\times \frac{2\times 6+1}{6}$$
$$\frac{152}{9}-\frac{3\times 3+1}{3}\times \frac{2\times 6+1}{6}$$
$$\frac{152}{9}-\frac{9+1}{3}\times \frac{2\times 6+1}{6}$$
$$\frac{152}{9}-\frac{10}{3}\times \frac{2\times 6+1}{6}$$
$$\frac{152}{9}-\frac{10}{3}\times \frac{12+1}{6}$$
$$\frac{152}{9}-\frac{10}{3}\times \frac{13}{6}$$
$$\frac{152}{9}-\frac{10\times 13}{3\times 6}$$
$$\frac{152}{9}-\frac{130}{18}$$
$$\frac{152}{9}-\frac{65}{9}$$
$$\frac{152-65}{9}$$
$$\frac{87}{9}$$
$$\frac{29}{3}$$
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$\frac{29}{3} = 9\frac{2}{3} = 9.666666666666666$
