Question

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

Answer 1

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.