$$2/9+5/3 \times 6/7+9/2$$
$\frac{775}{126}\approx 6.150793651$
$$\frac{2}{9}+\frac{\frac{5\times 6}{3}}{7}+\frac{9}{2}$$
$$\frac{2}{9}+\frac{\frac{30}{3}}{7}+\frac{9}{2}$$
$$\frac{2}{9}+\frac{10}{7}+\frac{9}{2}$$
$$\frac{14}{63}+\frac{90}{63}+\frac{9}{2}$$
$$\frac{14+90}{63}+\frac{9}{2}$$
$$\frac{104}{63}+\frac{9}{2}$$
$$\frac{208}{126}+\frac{567}{126}$$
$$\frac{208+567}{126}$$
$$\frac{775}{126}$$
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$\frac{5 ^ {2} \cdot 31}{2 \cdot 3 ^ {2} \cdot 7} = 6\frac{19}{126} = 6.150793650793651$
