The line separating the numerator and denominator when displayed as one number over another is called Vinculum, or sometimes referred to as the fraction bar.
If the line is a slanting line (such as in "9/10"), it's referred to as the solidus.
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The line that separates the top number (numerator) from the bottom number (denominator) of a fraction can be called a dividing line - since this is what is happening in the sum itself to calculate the fraction.
It is the solidus line that separates the numerator from the denominator in a fraction.
To bisect is to cut or divide into halves. A bisecting line would then be a line that divides another line in half or a line that divides an angle in half.
This is the denominator, which is the bottom line of the fraction.
It's sometimes known as the 'divison bar' or 'fraction bar'.