$$3 \frac { 1 } { 6 } \times 7 \frac { 4 } { 23 }$$
$\frac{1045}{46}\approx 22.717391304$
$$\frac{18+1}{6}\times \frac{7\times 23+4}{23}$$
$$\frac{19}{6}\times \frac{7\times 23+4}{23}$$
$$\frac{19}{6}\times \frac{161+4}{23}$$
$$\frac{19}{6}\times \frac{165}{23}$$
$$\frac{19\times 165}{6\times 23}$$
$$\frac{3135}{138}$$
$$\frac{1045}{46}$$
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$\frac{5 \cdot 11 \cdot 19}{2 \cdot 23} = 22\frac{33}{46} = 22.717391304347824$