$$13 \frac { 1 } { 2 } - 1 \frac { 3 } { 4 } =$$
$\frac{47}{4}=11.75$
$$\frac{26+1}{2}-\frac{1\times 4+3}{4}$$
$$\frac{27}{2}-\frac{1\times 4+3}{4}$$
$$\frac{27}{2}-\frac{4+3}{4}$$
$$\frac{27}{2}-\frac{7}{4}$$
$$\frac{54}{4}-\frac{7}{4}$$
$$\frac{54-7}{4}$$
$$\frac{47}{4}$$
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$\frac{47}{2 ^ {2}} = 11\frac{3}{4} = 11.75$