Question

Are the ratios 1 : 2 and 2 : 3 equivalent?

Answer 1

Given ratios are $1:2$ and $2:3$
First, we need to know whether $\frac{1}{2}=\frac{2}{3}$
LCM of 2 and 3 is 6.

$\frac{1}{2}=\frac{1\times 3}{2\times 3}=\frac{3}{6}$

$\frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{4}{6}$

$\frac{3}{6}\ne \frac{4}{6}$

∴ 1 : 2 and 2 : 3 are not equivalent.