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reduce Rational Expressions to lowest terms

by Aleysius
(Huntsville,Al,US)











































how to reduce Rational Expressions to lowest terms?

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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 denominator
2. Cancel like terms


Example 1

Simplify the rational expression: 15960/1710

Factor both the numerator and denominator

15960/1710

= (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)

= 28/3

The final answer is: 28/3


Example 2

Simplify the rational expression: abc(d^2)fq/cd

Factor both the numerator and denominator

abc(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

= abdfq


The final answer is: abdfq



Example 3

Simplify 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 + 1




Thanks for writing.


Staff
www.solving-math-problems.com



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