$$4\frac{4}{5}+2\frac{9}{10}$$
$\frac{77}{10}=7.7$
$$\frac{20+4}{5}+\frac{2\times 10+9}{10}$$
$$\frac{24}{5}+\frac{2\times 10+9}{10}$$
$$\frac{24}{5}+\frac{20+9}{10}$$
$$\frac{24}{5}+\frac{29}{10}$$
$$\frac{48}{10}+\frac{29}{10}$$
$$\frac{48+29}{10}$$
$$\frac{77}{10}$$
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$\frac{7 \cdot 11}{2 \cdot 5} = 7\frac{7}{10} = 7.7$
