$$4+ \frac{ \sqrt{ 9 } }{ 7 }$$
$\frac{31}{7}\approx 4.428571429$
$$4+\frac{3}{7}$$
$$\frac{28}{7}+\frac{3}{7}$$
$$\frac{28+3}{7}$$
$$\frac{31}{7}$$
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$\frac{31}{7} = 4\frac{3}{7} = 4.428571428571429$