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Math Help - Inequality symbol and fraction - Can someone help me learn how to divide fractions?

  1. #1
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    Red face Inequality symbol and fraction - Can someone help me learn how to divide fractions?

    The problem is this:

    -6x>1/13

    I know that I need to divide both sides by -6 to get the answer for X.

    -6x>1/13

    How do I divide 1/13 by 6

    Please show me how division works with fractions that I can figure this out in the future as well.
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  2. #2
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    To divide by 6 is equal with multiplying by 1/6:

    -6x>\frac{1}{13}

    -x >\frac{1}{13}*\frac{1}{6}
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  3. #3
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    Quote Originally Posted by OneidaFL View Post
    The problem is this:

    -6x>1/13

    I know that I need to divide both sides by -6 to get the answer for X.

    -6x>1/13

    How do I divide 1/13 by 6

    Please show me how division works with fractions that I can figure this out in the future as well.
    Hi OneidaFL,

    You also need to know that when you divide (or multiply) an inequality by a negative number, you must reverse the order of the inequality.

    -6x>\dfrac{1}{13}

    An easier way to solve this would be to multiply all terms by 13. Then divide.

    -78x>1

    x<-\dfrac{1}{78}
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  4. #4
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    Pooint, question for you

    Quote Originally Posted by p0oint View Post
    To divide by 6 is equal with multiplying by 1/6:

    -6x>\frac{1}{13}

    -x >\frac{1}{13}*\frac{1}{6}
    When dividing by a negative number don't you have to reverse the > to a < symbol?
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  5. #5
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    Quote Originally Posted by OneidaFL View Post
    When dividing by a negative number don't you have to reverse the > to a < symbol?
    Yes, but \frac{1}{6} is positive, the negative sign remained on the LHS at the point we are talking about.
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