# Ratios

• Mar 24th 2010, 02:05 AM
harold
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?)
• Mar 24th 2010, 02:12 AM
Bacterius
Quote:

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 :)
• Mar 24th 2010, 02:16 AM
harold
Oh god...LOL I'm such an idiot. Thanks Bacterius :)
• Mar 24th 2010, 02:27 AM
Bacterius
Quote:

Originally Posted by harold
Oh god...LOL I'm such an idiot. Thanks Bacterius :)