$$\frac{ 3 }{ 4 } \times \frac{ 16 }{ 27 } + \frac{ 23 }{ 14 } + \frac{ 12 }{ 18 }$$
$\frac{347}{126}\approx 2.753968254$
$$\frac{3\times 16}{4\times 27}+\frac{23}{14}+\frac{12}{18}$$
$$\frac{48}{108}+\frac{23}{14}+\frac{12}{18}$$
$$\frac{4}{9}+\frac{23}{14}+\frac{12}{18}$$
$$\frac{56}{126}+\frac{207}{126}+\frac{12}{18}$$
$$\frac{56+207}{126}+\frac{12}{18}$$
$$\frac{263}{126}+\frac{12}{18}$$
$$\frac{263}{126}+\frac{2}{3}$$
$$\frac{263}{126}+\frac{84}{126}$$
$$\frac{263+84}{126}$$
$$\frac{347}{126}$$
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$\frac{347}{2 \cdot 3 ^ {2} \cdot 7} = 2\frac{95}{126} = 2.753968253968254$
