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It is a variable fraction, NOT an algebraic fraction.

Q: Which term describes a fraction that has a variable or variable expression in its numerator it's denominator or both?

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It is a proper fraction and if the numerator > denominator than it is an improper fraction.

If the numerator is negative and the denominator is positive then the fraction will be negative. If the numerator is negative and the denominator is negative too then the fraction will be positive.

The top part of the fraction is called the numerator. The bottom part of a fraction is called the denominator. Numerator, as, in 3/4, 3 is the numerator and 4 is the denominator. The top number of a fraction is called a numerator and the bottom is called the denominator.

A fraction with a numerator that is smaller than its denominator is less than one.

Numerator ________ Demomerator

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It is an algebraic fraction.

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There is no specific name. If the numerator and denominator are polynomials in the variable then the question describes an algebraic fraction. But there is no reason at all to assume that they are polynomials. There is no specific phrase that describes sin(x)/x, for example.

It is a variable fraction. But it need not be algebraic.

It is a variable fraction, NOT an algebraic fraction.

It is a variable fraction which need not be algebraic.

When the denominator is a factor of the numerator. If there is 2x in the numerator and denominator these terms cancel.

Numerator <-> dividendDenominator <-> divisor.

It is a variable fraction.

It is classed as an improper fraction

A fraction has a numerator and a denominator.

you multiply the numerator by the numerator and the denominator by the denominator.