$$\frac { 1 } { 2 } \times 3 \frac { 2 } { 5 } \times 2 \frac { 2 } { 3 } \times 5$$
$\frac{68}{3}\approx 22.666666667$
$$\frac{1}{2}\times \frac{15+2}{5}\times \frac{2\times 3+2}{3}\times 5$$
$$\frac{1}{2}\times \frac{17}{5}\times \frac{2\times 3+2}{3}\times 5$$
$$\frac{1\times 17}{2\times 5}\times \frac{2\times 3+2}{3}\times 5$$
$$\frac{17}{10}\times \frac{2\times 3+2}{3}\times 5$$
$$\frac{17}{10}\times \frac{6+2}{3}\times 5$$
$$\frac{17}{10}\times \frac{8}{3}\times 5$$
$$\frac{17\times 8}{10\times 3}\times 5$$
$$\frac{136}{30}\times 5$$
$$\frac{68}{15}\times 5$$
$$\frac{68\times 5}{15}$$
$$\frac{340}{15}$$
$$\frac{68}{3}$$
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$\frac{2 ^ {2} \cdot 17}{3} = 22\frac{2}{3} = 22.666666666666668$
