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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- Mar 24th 2010, 01:05 AMharoldRatios
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?) - Mar 24th 2010, 01:12 AMBacterius
Hello,

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

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

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

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

Simplify :

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

And you have your result :) - Mar 24th 2010, 01:16 AMharold
Oh god...LOL I'm such an idiot. Thanks Bacterius :)

- Mar 24th 2010, 01:27 AMBacterius