# reduce Rational Expressions to lowest terms

by Aleysius
(Huntsville,Al,US)

how to reduce Rational Expressions to lowest terms?

### Comments for reduce Rational Expressions to lowest terms

 Nov 23, 2010 Simplify Rational Expressions by: Staff The question: by Aleysius (Huntsville, AL, US)how to reduce Rational Expressions to lowest terms?The answer:A Rational Expression is an expression that can be written as a ratio (a fraction).To simplify a rational expression:1. Factor both the numerator and denominator2. Cancel like termsExample 1Simplify the rational expression: 15960/1710Factor both the numerator and denominator15960/1710 = (2*2*2*3*5*7*19)/(2*3*3*5*19)Cancel like terms(2*2*2*3*5*7*19)/(2*3*3*5*19) = (2*2*7)/(3)= 28/3The final answer is: 28/3Example 2Simplify the rational expression: abc(d^2)fq/cdFactor both the numerator and denominatorabc(d^2)fq/cd = (a*b*c*d*d*f*q)/(c*d)Cancel like terms(a*b*c*d*d*f*q)/(c*d)= (a*b*d*f*q)/(1)= abdfq/1= abdfqThe final answer is: abdfqExample 3Simplify the rational expression: (x^2 + 3x +2)/(x + 2)Factor both the numerator and denominator(x^2 + 3x +2)/(x + 2) = [(x + 1)*(x + 2)]/(x + 2)Cancel like terms= [(x + 1) * (x + 2)]/(x + 2)= (x + 1)/(1)= (x + 1)The final answer is: x + 1Thanks for writing.Staff www.solving-math-problems.com