$$\frac { 1 } { \sqrt{ 289 } } + \sqrt{ 2.25 }$$
$\frac{53}{34}\approx 1.558823529$
$$\frac{1}{17}+\sqrt{2.25}$$
$$\frac{1}{17}+1.5$$
$$\frac{1}{17}+\frac{3}{2}$$
$$\frac{2}{34}+\frac{51}{34}$$
$$\frac{2+51}{34}$$
$$\frac{53}{34}$$
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$\frac{53}{2 \cdot 17} = 1\frac{19}{34} = 1.5588235294117647$