$$(\frac{3}{10}+\frac{8}{9})+\frac{16}{15}$$
$\frac{203}{90}\approx 2.255555556$
$$\frac{27}{90}+\frac{80}{90}+\frac{16}{15}$$
$$\frac{27+80}{90}+\frac{16}{15}$$
$$\frac{107}{90}+\frac{16}{15}$$
$$\frac{107}{90}+\frac{96}{90}$$
$$\frac{107+96}{90}$$
$$\frac{203}{90}$$
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$\frac{7 \cdot 29}{2 \cdot 3 ^ {2} \cdot 5} = 2\frac{23}{90} = 2.2555555555555555$
