$$1 \frac{ 1 }{ 7 } \times 1 \frac{ 1 }{ 8 } \times 1 \frac{ 1 }{ 9 } \times 1 \frac{ 1 }{ 10 } \times 1 \frac{ 1 }{ 11 }$$
$\frac{12}{7}\approx 1.714285714$
$$\frac{7+1}{7}\times \frac{1\times 8+1}{8}\times \frac{1\times 9+1}{9}\times \frac{1\times 10+1}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{8}{7}\times \frac{1\times 8+1}{8}\times \frac{1\times 9+1}{9}\times \frac{1\times 10+1}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{8}{7}\times \frac{8+1}{8}\times \frac{1\times 9+1}{9}\times \frac{1\times 10+1}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{8}{7}\times \frac{9}{8}\times \frac{1\times 9+1}{9}\times \frac{1\times 10+1}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{8\times 9}{7\times 8}\times \frac{1\times 9+1}{9}\times \frac{1\times 10+1}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{9}{7}\times \frac{1\times 9+1}{9}\times \frac{1\times 10+1}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{9}{7}\times \frac{9+1}{9}\times \frac{1\times 10+1}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{9}{7}\times \frac{10}{9}\times \frac{1\times 10+1}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{9\times 10}{7\times 9}\times \frac{1\times 10+1}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{10}{7}\times \frac{1\times 10+1}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{10}{7}\times \frac{10+1}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{10}{7}\times \frac{11}{10}\times \frac{1\times 11+1}{11}$$
$$\frac{10\times 11}{7\times 10}\times \frac{1\times 11+1}{11}$$
$$\frac{11}{7}\times \frac{1\times 11+1}{11}$$
$$\frac{11}{7}\times \frac{11+1}{11}$$
$$\frac{11}{7}\times \frac{12}{11}$$
$$\frac{11\times 12}{7\times 11}$$
$$\frac{12}{7}$$
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$\frac{2 ^ {2} \cdot 3}{7} = 1\frac{5}{7} = 1.7142857142857142$
