$$4 \frac { 7 } { 10 } + \frac { 6 } { 8 }$$
$\frac{109}{20}=5.45$
$$\frac{40+7}{10}+\frac{6}{8}$$
$$\frac{47}{10}+\frac{6}{8}$$
$$\frac{47}{10}+\frac{3}{4}$$
$$\frac{94}{20}+\frac{15}{20}$$
$$\frac{94+15}{20}$$
$$\frac{109}{20}$$
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$\frac{109}{2 ^ {2} \cdot 5} = 5\frac{9}{20} = 5.45$