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can you please help with determining if the following ratios are equivalent: 4:18 and 2:12 as a ratios

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We are given the following ratios:


4\colon18\text{ and 2:12}

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:


(4)/(2)\colon(18)/(2)=2\colon9

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:


2\colon12\\e2\colon9

This means that the given ratios are not equivalent.

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