Question

Which two ratios are NOT equal? 1:6 and 3:18 OB. 2:14 and 3:42 OC. 12:6 and 2:1 OD 3:11 and 6:22

Answer 1

Let's check the ratios:

`\begin{gathered} (1)/(6) \\ \text{and} \\ (3)/(18) \\ \end{gathered}`

First one is already reduced. Let's reduce the 2nd fraction by dividing top and bottom by 3, so

`(3)/(18)=(1)/(6)`

So, they are equal.

Next ratio:

`\begin{gathered} (2)/(14)\text{and}(3)/(42) \\ \end{gathered}`

Let's divide both top and bottom by 2 (1st fraction) and top and bottom by (3) in 2nd fraction:

`\begin{gathered} (2)/(14)=(1)/(7) \\ \text{and} \\ (3)/(42)=(1)/(14) \end{gathered}`

They aren't equal. So, we have already found our answer.

OB. 2:14 and 3:42 --- is our answer.