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Math Help - Grade 9 Equations with Fractions 2

  1. #1
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    Grade 9 Equations with Fractions 2

    Hi, all. Could you please explain to me how this is done? I don't understand.

    Example 1.
    Solve for x:
    1
    2x
    + 1
    x − 1
    = 1
    2(x − 1)
    Solution. The LCM is 2x(x −1).
    Here is the cleared equation:
    x − 1 + 2x = x.
    Each numerator has been multiplied by those factors of the LCM that are missing from its denominator. The solution follows:
    2x = 1
    x = 1
    2
    Again, when solving an equation with fractions, the very next statement you write -- the next line -- should have no fractions.


    Thanks.
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  2. #2
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    Re: Grade 9 Equations with Fractions 2

    Quote Originally Posted by JesseElFantasma View Post
    Hi, all. Could you please explain to me how this is done? I don't understand.
    This is very similar to your other post.

    They multiplied both sides of the equation by the least common denominator, which in this case would be 2x(x-1).
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