$$2\frac{5}{10}+4\frac{9}{40}$$
$\frac{269}{40}=6.725$
$$\frac{20+5}{10}+\frac{4\times 40+9}{40}$$
$$\frac{25}{10}+\frac{4\times 40+9}{40}$$
$$\frac{5}{2}+\frac{4\times 40+9}{40}$$
$$\frac{5}{2}+\frac{160+9}{40}$$
$$\frac{5}{2}+\frac{169}{40}$$
$$\frac{100}{40}+\frac{169}{40}$$
$$\frac{100+169}{40}$$
$$\frac{269}{40}$$
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$\frac{269}{2 ^ {3} \cdot 5} = 6\frac{29}{40} = 6.725$
