Homework Help

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

user profile pic

user2761867 | eNotes Newbie

Posted May 27, 2013 at 1:59 AM via web

dislike 1 like

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

 

1 Answer | Add Yours

user profile pic

embizze | High School Teacher | (Level 1) Educator Emeritus

Posted May 27, 2013 at 2:16 AM (Answer #1)

dislike 1 like

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.

1 Reply | Hide Replies

user profile pic

user2761867 | eNotes Newbie

Posted May 27, 2013 at 3:28 AM (Reply #1)

dislike 0 like

Thanks so much for your answer. Could you give me an example of a rational expression and numeric fraction, where they are the same and where they are different.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes