Question

Which ratios are equivalent? Check all that apply 9:15 and 18:3021:25 and 30:503:5 and 5:105:6 and 20:24

Answer 1

9:15 and 18:30

Step-by-step explanation:

To determine which ratios are equivalent, we reduce each one to its lowest form and see if they are the same.

`\begin{gathered} 9\colon15=3\colon5 \\ 18\colon30=3\colon5 \end{gathered}`

Next:

`\begin{gathered} 21\colon25=21\colon25 \\ 30\colon50=3\colon5 \end{gathered}`

Next we have:

`\begin{gathered} 3\colon5=3\colon5 \\ 5\colon10=1\colon2 \end{gathered}`

Finally:

`\begin{gathered} 5\colon6=5\colon6 \\ 20\colon24=5\colon6 \end{gathered}`

Therefore, the ratios which are equivalent are Options A and D.