$$3\frac{1}{3}+4\frac{1}{9}$$
$\frac{67}{9}\approx 7.444444444$
$$\frac{9+1}{3}+\frac{4\times 9+1}{9}$$
$$\frac{10}{3}+\frac{4\times 9+1}{9}$$
$$\frac{10}{3}+\frac{36+1}{9}$$
$$\frac{10}{3}+\frac{37}{9}$$
$$\frac{30}{9}+\frac{37}{9}$$
$$\frac{30+37}{9}$$
$$\frac{67}{9}$$
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$\frac{67}{3 ^ {2}} = 7\frac{4}{9} = 7.444444444444445$
