$$5 \frac { 1 } { 7 } \times 2 \frac { 2 } { 9 }$$
$\frac{80}{7}\approx 11.428571429$
$$\frac{35+1}{7}\times \frac{2\times 9+2}{9}$$
$$\frac{36}{7}\times \frac{2\times 9+2}{9}$$
$$\frac{36}{7}\times \frac{18+2}{9}$$
$$\frac{36}{7}\times \frac{20}{9}$$
$$\frac{36\times 20}{7\times 9}$$
$$\frac{720}{63}$$
$$\frac{80}{7}$$
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$\frac{2 ^ {4} \cdot 5}{7} = 11\frac{3}{7} = 11.428571428571429$
