$$3 \frac { 2 } { 14 } \times 5 \frac { 6 } { 11 }$$
$\frac{122}{7}\approx 17.428571429$
$$\frac{42+2}{14}\times \frac{5\times 11+6}{11}$$
$$\frac{44}{14}\times \frac{5\times 11+6}{11}$$
$$\frac{22}{7}\times \frac{5\times 11+6}{11}$$
$$\frac{22}{7}\times \frac{55+6}{11}$$
$$\frac{22}{7}\times \frac{61}{11}$$
$$\frac{22\times 61}{7\times 11}$$
$$\frac{1342}{77}$$
$$\frac{122}{7}$$
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$\frac{2 \cdot 61}{7} = 17\frac{3}{7} = 17.428571428571427$
