Let $a,b,c,d \in \mathbb{N}$ and $\epsilon \in \mathbb{R}$ Let $\epsilon < \frac{a}{b} < \frac{c}{d}$ Does this imply that: $\epsilon \leq \frac{a+c}{b+d}$?
$\epsilon < \frac{a}{b} < \frac{c}{d}$ implies that: $\epsilon \leq \frac{a+c}{b+d}$?
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number-theory