Question

Are the ratios $1:2$ and $2:3$ equivalent?
[2 marks]

Answer 1

To check this, we need to know whether $\frac{1}{2}=\frac{2}{3}$
We have, $\frac{1}{2}=\frac{1\times 3}{2\times 3}=\frac{3}{6}\text{and}\frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{4}{6}$
[1 mark]

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 $2:3$.
[1 mark]