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Thread: Ratio question

  1. #1
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    Ratio question

    Hi

    I'm doing a maths reasoning practice question and I'm wondering why in the solution an eighth is translated as 1 1/8 instead of just 1/8. Please see enclosed.

    Plus, can someone point me in the right direction where I can read up on this.

    Many thanks

    Mmaths_question.jpg

  2. #2
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    Quote Originally Posted by Miles View Post
    Hi

    I'm doing a maths reasoning practice question and I'm wondering why in the solution an eighth is translated as 1 1/8 instead of just 1/8. Please see enclosed.

    Plus, can someone point me in the right direction where I can read up on this.

    Many thanks

    Mmaths_question.jpg
    If y is bigger than x by 1/8th of x, then

    [tex]y = x + \dfrac{1}{8} * x \equiv \left (1 + \dfrac{1}{8} \right ) * x \equiv \dfrac{9x}{8}.[/tex]

    Just different ways to get the same arithmetic result. Really nothing to read up on.

  3. #3
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    Quote Originally Posted by JeffM View Post
    If y is bigger than x by 1/8th of x, then

    [tex]y = x + \dfrac{1}{8} * x \equiv \left (1 + \dfrac{1}{8} \right ) * x \equiv \dfrac{9x}{8}.[/tex]

    Just different ways to get the same arithmetic result. Really nothing to read up on.
    Thanks Jeff, but I need to practice more of these to get a better understanding, so what subject would this come under algebra?

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    Quote Originally Posted by Miles View Post
    Thanks Jeff, but I need to practice more of these to get a better understanding, so what subject would this come under algebra?
    This is the same concept as "percent increase". Reading about that may help.

    Or, as Jeff showed, it just comes from applying algebra to the problem: "increase x by fraction m" means "add m times x to x itself" (start with x, and increase it by m times itself).

  5. #5
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    Quote Originally Posted by Dr.Peterson View Post
    This is the same concept as "percent increase". Reading about that may help.

    Or, as Jeff showed, it just comes from applying algebra to the problem: "increase x by fraction m" means "add m times x to x itself" (start with x, and increase it by m times itself).
    Ah! Now I get it. Thanks

  6. #6
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    Cool

    Quote Originally Posted by Miles View Post
    Thanks Jeff, but I need to practice more of these to get a better understanding, so what subject would this come under algebra?
    Fractions and percentages are usually pre-algebra, or before pre-algebra.

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