$$11 \frac{ 3 }{ 4 } -7 \frac{ 1 }{ 4 } =$$
$\frac{9}{2}=4.5$
$$\frac{44+3}{4}-\frac{7\times 4+1}{4}$$
$$\frac{47}{4}-\frac{7\times 4+1}{4}$$
$$\frac{47}{4}-\frac{28+1}{4}$$
$$\frac{47}{4}-\frac{29}{4}$$
$$\frac{47-29}{4}$$
$$\frac{18}{4}$$
$$\frac{9}{2}$$
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$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$
