Definition:Rational Number/Fraction/Numerator

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Let $\dfrac a b$ be a fraction.

The term $a$ is known as the numerator of $\dfrac a b$.

Also see

Linguistic Note

The term numerator reflects the fact that it numerates, that is, counts the objects defined in the denominator.

Thus, in the fraction $\dfrac 3 4$, it states that there are $3$ of the specified quarters.