In comparing numerical fractions and rational expressions, how do they differ?  

Expert Answers
embizze eNotes educator| Certified Educator

A numerical fraction has exactly one value. There are equivalent fractions, but they all have the same value (i.e. they represent the same point on a number line.)

A rational expression may take on infinite values. For certain values for the variables, the rational expression may not be defined. Like numerical fractions, rational expressions can have equivalent expressions; they can also have expressions that agree everywhere except at a finite number of points.

The graph of a (defined) numerical fraction is a point on a number line, while the graph of a rational expression can be a curve in a coordinate system.