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Math Help - Ratios

  1. #1
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    Ratios

    If the ratio of 2a to 3b is 1:4, what is the ratio of 4a to 3b?

    How can I show that it's 1:2? (What's the algebra behind it?)
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  2. #2
    Super Member Bacterius's Avatar
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    Quote Originally Posted by harold View Post
    If the ratio of 2a to 3b is 1:4, what is the ratio of 4a to 3b?

    How can I show that it's 1:2? (What's the algebra behind it?)
    Hello,

    \frac{2a}{3b} = \frac{1}{4}

    Multiply by 2 each side of the equation to obtain the desired ratio :

    \frac{2a}{3b} \times 2 = \frac{1}{4} \times 2

    \frac{4a}{3b} = \frac{2}{4}

    Simplify :

    \frac{4a}{3b} = \frac{1}{2}

    And you have your result
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  3. #3
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    Oh god...LOL I'm such an idiot. Thanks Bacterius
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  4. #4
    Super Member Bacterius's Avatar
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    Quote Originally Posted by harold View Post
    Oh god...LOL I'm such an idiot. Thanks Bacterius
    No problem, arcade champion
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