$$10\times2\frac{3}{4}=$$
$\frac{55}{2}=27.5$
$$10\times \frac{8+3}{4}$$
$$10\times \frac{11}{4}$$
$$\frac{10\times 11}{4}$$
$$\frac{110}{4}$$
$$\frac{55}{2}$$
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$\frac{5 \cdot 11}{2} = 27\frac{1}{2} = 27.5$