$$\frac{ 11 }{ 17 } + \frac{ 13 }{ 19 }$$
$\frac{430}{323}\approx 1.33126935$
$$\frac{209}{323}+\frac{221}{323}$$
$$\frac{209+221}{323}$$
$$\frac{430}{323}$$
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$\frac{2 \cdot 5 \cdot 43}{17 \cdot 19} = 1\frac{107}{323} = 1.3312693498452013$