$$1\frac{1}{5}+\frac{1}{9}$$
$\frac{59}{45}\approx 1.311111111$
$$\frac{5+1}{5}+\frac{1}{9}$$
$$\frac{6}{5}+\frac{1}{9}$$
$$\frac{54}{45}+\frac{5}{45}$$
$$\frac{54+5}{45}$$
$$\frac{59}{45}$$
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$\frac{59}{3 ^ {2} \cdot 5} = 1\frac{14}{45} = 1.3111111111111111$