# Math Help - Ratios

1. ## 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?)

2. Originally Posted by harold
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

3. Oh god...LOL I'm such an idiot. Thanks Bacterius

4. Originally Posted by harold
Oh god...LOL I'm such an idiot. Thanks Bacterius
No problem, arcade champion