$$\frac{4}{7}+(2\frac{1}{4}+3\frac{2}{5})$$
$\frac{871}{140}\approx 6.221428571$
$$\frac{4}{7}+\frac{8+1}{4}+\frac{3\times 5+2}{5}$$
$$\frac{4}{7}+\frac{9}{4}+\frac{3\times 5+2}{5}$$
$$\frac{16}{28}+\frac{63}{28}+\frac{3\times 5+2}{5}$$
$$\frac{16+63}{28}+\frac{3\times 5+2}{5}$$
$$\frac{79}{28}+\frac{3\times 5+2}{5}$$
$$\frac{79}{28}+\frac{15+2}{5}$$
$$\frac{79}{28}+\frac{17}{5}$$
$$\frac{395}{140}+\frac{476}{140}$$
$$\frac{395+476}{140}$$
$$\frac{871}{140}$$
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$\frac{13 \cdot 67}{2 ^ {2} \cdot 5 \cdot 7} = 6\frac{31}{140} = 6.2214285714285715$
