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Math Help - Confused About Division

  1. #1
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    Confused About Division

    I am confused about problems that place the variable in the denominator position. Right now I'm doing a simple proportion problem.
    2/10/x=1/4

    I can not figure how too do this. I assume that I'm just missing something simple.
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  2. #2
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    Quote Originally Posted by bkbowser View Post
    I am confused about problems that place the variable in the denominator position. Right now I'm doing a simple proportion problem.
    2/10/x=1/4

    I can not figure how too do this. I assume that I'm just missing something simple.
    When you divide by something, that's identical to multiply by it's inverse.

    So for example  a / \bigg(\frac{b}{c}\bigg) = a \times \frac{c}{b}

    So  2 / \bigg( \frac{10}{x} \bigg)= 2 \times \frac{x}{10} = \frac{x}{5}
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  3. #3
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    So i can rewrite it as
    2*x/10=1/4

    Then multiply both sides by 10
    2*x=10/4

    then divide by 2?

    x=10/4/2
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  4. #4
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    Quote Originally Posted by bkbowser View Post
    So i can rewrite it as
    2*x/10=1/4

    Then multiply both sides by 10
    2*x=10/4

    then divide by 2?

    x=10/4/2

    Yep.
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  5. #5
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    Does that first step that I was missing have a name? This has been screwing with me for a few weeks. And I'd like to have as much information about it as i can, it helps me to remember.
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  6. #6
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    Quote Originally Posted by bkbowser View Post
    Does that first step that I was missing have a name? This has been screwing with me for a few weeks. And I'd like to have as much information about it as i can, it helps me to remember.
    Hmm, if it does have a name, I don't know it!

    Just remember that division = multiplication by the inverse.
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