$$1 \frac{ 1 }{ 7 } \times 2 \frac{ 3 }{ 4 }$$
$\frac{22}{7}\approx 3.142857143$
$$\frac{7+1}{7}\times \frac{2\times 4+3}{4}$$
$$\frac{8}{7}\times \frac{2\times 4+3}{4}$$
$$\frac{8}{7}\times \frac{8+3}{4}$$
$$\frac{8}{7}\times \frac{11}{4}$$
$$\frac{8\times 11}{7\times 4}$$
$$\frac{88}{28}$$
$$\frac{22}{7}$$
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$\frac{2 \cdot 11}{7} = 3\frac{1}{7} = 3.142857142857143$
