Question

Which pair of ratios forms a proportion? A.) 3/4 and 4/6B.) 6/10 and 9/15C.) 2/5 and 5/8D.) 9/4 and 4/9

Answer 1

Let's begin by listing out the information given to us:

A.

`\begin{gathered} (3)/(4)=(3)/(4) \\ (4)/(6)=(2)/(3) \\ \Rightarrow(3)/(4)\\e(2)/(3) \end{gathered}`

B.

`\begin{gathered} (6)/(10)=(3)/(5) \\ (9)/(15)=(3)/(5) \\ (6)/(10)=(9)/(15) \end{gathered}`

C.

`\begin{gathered} (2)/(5)=(2)/(5) \\ (5)/(8)=(5)/(8) \\ \Rightarrow(2)/(5)\\e(5)/(8) \end{gathered}`

D.

`\begin{gathered} (9)/(4)=(9)/(4) \\ (4)/(9)=(4)/(9) \\ \Rightarrow(9)/(4)\\e(4)/(9) \end{gathered}`

Therefore, option B is the correct answer; the ratios 6/10 is the same as 9/15