Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Algebra ->  Algebra -> Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!     (Log On)
Ad: Algebra Solved!™: algebra software that solves YOUR algebra homework problems with step-by-step help!


Question 152260: How do you simplify a Rational Expression like this: 4x-12/4x, whats the answer?: How do you simplify a Rational Expression like this: 4x-12/4x, whats the answer?
Answer by jim_thompson5910(9376) About Me  (Show Source):
You can put this solution on YOUR website!

(4x-12)/(4x) Start with the given expression.


(4(x-3))/(4x) Factor 4x-12 to get 4(x-3).


(highlight(4)(x-3))/(highlight(4)x) Highlight the common terms.


(cross(4)(x-3))/(cross(4)x) Cancel out the common terms.


(x-3)/(x) Simplify.


So (4x-12)/(4x) simplifies to (x-3)/(x).


In other words, (4x-12)/(4x)=(x-3)/(x) where x<>0