We are given the following ratios:
[tex]4\colon18\text{ and 2:12}[/tex]We are asked to determine if the ratios are equivalent. To determine that, we will divide each element of the first ratio by 2, we get:
[tex]\frac{4}{2}\colon\frac{18}{2}=2\colon9[/tex]We get the ratio 2:9, since two ratios are equivalent if both elements of one ratio is a multiple of a corresponding element of the second ratio, and we got by dividing the first ratio by 2 the following:
[tex]2\colon12\ne2\colon9[/tex]This means that the given ratios are not equivalent.
