$$\frac{24}{22}+\frac{23}{15}$$
$\frac{433}{165}\approx 2.624242424$
$$\frac{12}{11}+\frac{23}{15}$$
$$\frac{180}{165}+\frac{253}{165}$$
$$\frac{180+253}{165}$$
$$\frac{433}{165}$$
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$\frac{433}{3 \cdot 5 \cdot 11} = 2\frac{103}{165} = 2.624242424242424$