Division of Rational Expressions

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Key Questions

  • Division of a rational expression are similar to fractions.For dividing rational expressions, you will use the same method as you used for dividing numerical fractions: when dividing by a fraction, you flip-n-multiply. For instance:

    #[ (x^2 + 2x - 15) / (x^2 - 4x - 45) ] ÷ [ (x^2 + x - 12) / (x^2 - 5x - 36) ]#

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    here as you see i have factored the different expressions and cancelled the common expression finally it gets reduced to nothing

    Hope this helped you

  • Multiplication

    #a/b cdot c/d={a cdot c}/{b cdot d}#

    Division

    #a/b divide c/d=a/b cdot d/c={a cdot d}/{b cdot c}#


    I hope that this was helpful.

  • Remember that dividing by a fraction is equivalent to multiplying by the reciprocal of the fraction, that is,

    #a/b divide c/d = a/b cdot d/c={a cdot d}/{b cdot c}#


    I hope that this was helpful.

  • I would just turn it into multiplications.

    #a/b divide c/d divide e/{f} = a/b times d/c times f/e={a cdot d cdot f}/{b cdot c cdot e}#


    I hope that this was helpful.

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