Editorial for A Fraction Problem

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Author: Ninjaclasher

One possible answer would be $e = a+c$ ~e = a+c~ and $f = b+d$ ~f = b+d~.

The proof is left as an exercise for the reader. Hint, solve this inequality by expanding everything:

$\displaystyle \frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}$

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