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Math Help - Simplifying Algebraic Fractions

  1. #1
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    Simplifying Algebraic Fractions

    Hello

    How would I go about this one please?

    (8x – 1) (8x – 1)

    3x________(7x + 1)
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  2. #2
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    Quote Originally Posted by 200001 View Post
    (8x 1) (8x 1)

    3x________(7x + 1)
    Your formatting is difficult to read. I think you mean the following:

    . . . . . \frac{8x\, -\, 1}{3x}\, \times\, \frac{8x\, -\, 1}{7x\, +\, 1}

    To multiply fractions, you multiply their numerators and their denominators. For instance:

    . . . . . \frac{1}{3}\, \times\, \frac{4}{5}\, =\, \frac{1\, \times\, 4}{3\, \times\, 5}\, =\, \frac{4}{15}

    To simplify your fraction, multiply the 8x - 1 by the 8x - 1, and the 3x by the 7x + 1.
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  3. #3
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    Thanks

    How does it wind up being:

    (7x + 1)
    3x

    I could understand if the operation was dividing the fractions but not mulpying

    If I exapnd the brackets the number becomes huge
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  4. #4
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    Quote Originally Posted by 200001 View Post
    Thanks

    How does it wind up being:

    (7x + 1)
    3x

    I could understand if the operation was dividing the fractions but not mulpying

    If I exapnd the brackets the number becomes huge
    how did you get it to that? please show your work so i can help further
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  5. #5
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    I didnt, hence why I think the question is a division over mutlipication as the answer to the question is as I have posted above.

    It makes sense to invert the fraction and cancel down if its a division problem but not as a multiplication.
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  6. #6
    Member TheMasterMind's Avatar
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    Quote Originally Posted by 200001 View Post
    I didnt, hence why I think the question is a division over mutlipication as the answer to the question is as I have posted above.

    It makes sense to invert the fraction and cancel down if its a division problem but not as a multiplication.
    yes, i would agree. it must be a typo.

    \frac{8x-1}{3x} div \frac{8x-1}{7x+1}=\frac{8x-1}{3x} * \frac{7x+1}{8x-1}=\frac{7x+1}{3x} is the only way it works.
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  7. #7
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    Great
    I thought I was going mad!!!
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