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The question itself looks pretty simple, but I'm a complete beginner and have no idea where to start. Any help would be greatly appreciated

Proving that if $p$, $q$ are rationals and $p < q$, then there is a rational $v$ such that $p < v < q$

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    Try to think of a specific example of such a $v$ and prove it satisfies the requirements.2012-07-29
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    $\frac{mp+nq}{m+n}$ where m,n are positive integers.2012-07-29

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