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What is a numerator?

What is a numerator? Here are some definitions.

Noun
  1. (arithmetic) The number or expression written above the line in a fraction (thus 1 in ½).
  2. An enumerator; someone who counts things.
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If both the numerator and denominator have common factors, then we can cancel these factors out.
A vulgar fraction is reduced to a decimal by dividing the numerator by the denominator.
Any measure of geographical variation or time trends needs to ensure comparability of numerator and denominator data.
Data from all relevant services are combined in order to calculate the numerator for this indicator.
In other words, a number is rational if we can write it as a fraction where the numerator and denominator are both integers.
Is it the numerator of a Bernoullian number, or one occurring in some continued fraction?

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