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Thread: Multiplication and Division of Rational Expressions

  1. February 10th 2013, 09:36 PM #1
    AmberRose
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    Multiplication and Division of Rational Expressions

    28x+4 14x+7
    45x-30 / 30x-20
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  2. February 10th 2013, 09:40 PM #2
    AmberRose
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    Re: Multiplication and Division of Rational Expressions

    Okay so that was meant to be: 28x+4 over 45x-30, divided by 14x+7 over 30x-20.
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  3. February 10th 2013, 10:02 PM #3
    Kromletch
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    Re: Multiplication and Division of Rational Expressions

    \frac{28x+4}{45x-30} / \frac{14x+7}{30x-20}
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  4. February 10th 2013, 10:03 PM #4
    Kromletch
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    Re: Multiplication and Division of Rational Expressions

    Are you trying to solve for x or what?
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  5. February 10th 2013, 10:12 PM #5
    AmberRose
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    Re: Multiplication and Division of Rational Expressions

    simplifying
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  6. February 11th 2013, 01:23 PM #6
    Kromletch
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    Re: Multiplication and Division of Rational Expressions

    I wish i knew how to do these off hand
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  7. February 11th 2013, 02:59 PM #7
    Deveno
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    Re: Multiplication and Division of Rational Expressions

    the way you do these is the same way you divide by fractions:

    (a/b) ÷ (c/d) = (a/b)(d/c) = (ad)/(bc)

    in this case, a = 28x + 4, b = 45x - 30, c = 14x + 7, and d = 30x - 20. so we get:

    \frac{\frac{28x+4}{45x-30}}{\frac{14x+7}{30x-20}} = \frac{(28x+4)(30x-20)}{(45x-30)(14x+7)}

    = \frac{(4(7x+1))(10(3x-2))}{(15(3x-2))(7(2x+1))} = \frac{40(7x+1)}{105(2x+1)}

    = \frac{8(7x+1)}{21(2x+1)} = \frac{56x+8}{42x+21}
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