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Math Help - fractions and equations

  1. #1
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    fractions and equations

    4/X+3=2/3

    how can i solve this. i want to understand what i'm going to do when it's fractions on both sides.

    2X/5=X+4/3
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  2. #2
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    Re: fractions and equations

    Quote Originally Posted by akelegna View Post
    4/X+3=2/3

    how can i solve this. i want to understand what i'm going to do when it's fractions on both sides.

    2X/5=X+4/3
    Unfortunately you didn't use grouping brackets to be clear. I assume that you mean

    \frac4{x+3} = \frac23 ............................... instead of \frac4x + 3 = \frac23

    Multiply by the denominators and cancel:

    \frac{4\cdot 3 \cdot (x+3)}{x+3} = \frac{2\cdot 3 \cdot (x+3)}3

    12 = 2x + 6

    Solve for x.

    The 2nd question should be done in a similar way.
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