$$2(4/9)+1(3/7)$$
$\frac{83}{63}\approx 1.317460317$
$$\frac{2\times 4}{9}+1\times \frac{3}{7}$$
$$\frac{8}{9}+1\times \frac{3}{7}$$
$$\frac{8}{9}+\frac{3}{7}$$
$$\frac{56}{63}+\frac{27}{63}$$
$$\frac{56+27}{63}$$
$$\frac{83}{63}$$
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$\frac{83}{3 ^ {2} \cdot 7} = 1\frac{20}{63} = 1.3174603174603174$