$$(\frac{4}{9}+\frac{7}{9})\times2\frac{1}{4}$$
$\frac{11}{4}=2.75$
$$\frac{4+7}{9}\times \frac{2\times 4+1}{4}$$
$$\frac{11}{9}\times \frac{2\times 4+1}{4}$$
$$\frac{11}{9}\times \frac{8+1}{4}$$
$$\frac{11}{9}\times \frac{9}{4}$$
$$\frac{11\times 9}{9\times 4}$$
$$\frac{11}{4}$$
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$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$
