$$9 \frac { 1 } { 2 } \times 5 \frac { 3 } { 4 }$$
$\frac{437}{8}=54.625$
$$\frac{18+1}{2}\times \frac{5\times 4+3}{4}$$
$$\frac{19}{2}\times \frac{5\times 4+3}{4}$$
$$\frac{19}{2}\times \frac{20+3}{4}$$
$$\frac{19}{2}\times \frac{23}{4}$$
$$\frac{19\times 23}{2\times 4}$$
$$\frac{437}{8}$$
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$\frac{19 \cdot 23}{2 ^ {3}} = 54\frac{5}{8} = 54.625$