$$27 \frac{ 1 }{ 2 } +15 \frac{ 3 }{ 4 } -12 \frac{ 2 }{ 5 } +18 \frac{ 4 }{ 5 } =$$
$\frac{993}{20}=49.65$
$$\frac{54+1}{2}+\frac{15\times 4+3}{4}-\frac{12\times 5+2}{5}+\frac{18\times 5+4}{5}$$
$$\frac{55}{2}+\frac{15\times 4+3}{4}-\frac{12\times 5+2}{5}+\frac{18\times 5+4}{5}$$
$$\frac{55}{2}+\frac{60+3}{4}-\frac{12\times 5+2}{5}+\frac{18\times 5+4}{5}$$
$$\frac{55}{2}+\frac{63}{4}-\frac{12\times 5+2}{5}+\frac{18\times 5+4}{5}$$
$$\frac{110}{4}+\frac{63}{4}-\frac{12\times 5+2}{5}+\frac{18\times 5+4}{5}$$
$$\frac{110+63}{4}-\frac{12\times 5+2}{5}+\frac{18\times 5+4}{5}$$
$$\frac{173}{4}-\frac{12\times 5+2}{5}+\frac{18\times 5+4}{5}$$
$$\frac{173}{4}-\frac{60+2}{5}+\frac{18\times 5+4}{5}$$
$$\frac{173}{4}-\frac{62}{5}+\frac{18\times 5+4}{5}$$
$$\frac{865}{20}-\frac{248}{20}+\frac{18\times 5+4}{5}$$
$$\frac{865-248}{20}+\frac{18\times 5+4}{5}$$
$$\frac{617}{20}+\frac{18\times 5+4}{5}$$
$$\frac{617}{20}+\frac{90+4}{5}$$
$$\frac{617}{20}+\frac{94}{5}$$
$$\frac{617}{20}+\frac{376}{20}$$
$$\frac{617+376}{20}$$
$$\frac{993}{20}$$
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$\frac{3 \cdot 331}{2 ^ {2} \cdot 5} = 49\frac{13}{20} = 49.65$
