Question

Are the ratio $1:2$ and $2:3$ equivalent ?

Answer 1

To check this, we need to know whether$\frac{1}{2}=\frac{2}{3}$
We have, $\frac{1}{2}=\frac{1\times 3}{2\times 3}$$=\frac{3}{6}$

and $\frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{4}{6}$
We find that$\frac{3}{6}<\frac{4}{6},$ which means that $\frac{1}{2}<\frac{2}{3}.$
Therefore, The ratio $1:2$ is not equivalent to the ratio $2:3$