It is the length of the note that the top number represents.
4/4 means 4 quarter (ie 1/4) notes in a bar.
6/8 means 6 eighth (ie 1/8) notes in a bar.
3/4 means 3 quarter notes in a bar.
On a related note, this is why 3/4 and 6/8 time signature although it may “seem” that way, are not equal. The beat accents are different. 3/4 is typically “ONE two three” whereas 6/8 is typically “ONE two three FOUR five six” with ONE being slightly stronger than FOUR.
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