$$24.1 \frac { 7 } { 8 } + 2 \frac { 1 } { 5 } + \frac { 2 } { 3 }$$
$\frac{3341}{120}\approx 27.841666667$
$$\frac{192.8+7}{8}+\frac{2\times 5+1}{5}+\frac{2}{3}$$
$$\frac{199.8}{8}+\frac{2\times 5+1}{5}+\frac{2}{3}$$
$$\frac{1998}{80}+\frac{2\times 5+1}{5}+\frac{2}{3}$$
$$\frac{999}{40}+\frac{2\times 5+1}{5}+\frac{2}{3}$$
$$\frac{999}{40}+\frac{10+1}{5}+\frac{2}{3}$$
$$\frac{999}{40}+\frac{11}{5}+\frac{2}{3}$$
$$\frac{999}{40}+\frac{88}{40}+\frac{2}{3}$$
$$\frac{999+88}{40}+\frac{2}{3}$$
$$\frac{1087}{40}+\frac{2}{3}$$
$$\frac{3261}{120}+\frac{80}{120}$$
$$\frac{3261+80}{120}$$
$$\frac{3341}{120}$$
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$\frac{13 \cdot 257}{3 \cdot 5 \cdot 2 ^ {3}} = 27\frac{101}{120} = 27.841666666666665$
