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