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What is a common denominator?

What is a common denominator? Here are some definitions.

Noun
  1. (mathematics) Any integer that is a common multiple of the denominators of two or more fractions.
  2. (by extension, figuratively) A trait or attribute that is shared by all members of some category.
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Examples
Skin protection is the common denominator linking the management of tubes, drains, fistulae, and draining wounds.
In particular Zhang sees the reduction of fractions to a common denominator as hard.
That's right, it's also the conceptual common denominator to this amusement-park ride through fast-forward, funkadelic foolishness.
We've become sedentary, convenience foods fill our kitchens, and stress is a common denominator.
Furthermore, I don't believe in making work for the lowest common denominator.
It's all about sound bites, deluding the people, pandering to the lowest common denominator.

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