Given positive integers a, b, c, d(adsbygoogle = window.adsbygoogle || []).push({});

and for fractions a/b and c/d,

it seems that ( a + c )/( b + d ) is between a/b and c/d.

There's likely an easy proof of this. I'd like to know if there's a formal name for ( a + c )/( b + d ) or the operation that brings it about.

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# Intermediate ratio

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