$$\frac{ 12 }{ 13 } + \frac{ 11 }{ 17 }$$
$\frac{347}{221}\approx 1.570135747$
$$\frac{204}{221}+\frac{143}{221}$$
$$\frac{204+143}{221}$$
$$\frac{347}{221}$$
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$\frac{347}{13 \cdot 17} = 1\frac{126}{221} = 1.5701357466063348$