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.

$\begin{gathered} \frac{3}{4}=\frac{3}{4} \\ \frac{4}{6}=\frac{2}{3} \\ \Rightarrow\frac{3}{4}\ne\frac{2}{3} \end{gathered}$

B.

$\begin{gathered} \frac{6}{10}=\frac{3}{5} \\ \frac{9}{15}=\frac{3}{5} \\ \frac{6}{10}=\frac{9}{15} \end{gathered}$

C.

$\begin{gathered} \frac{2}{5}=\frac{2}{5} \\ \frac{5}{8}=\frac{5}{8} \\ \Rightarrow\frac{2}{5}\ne\frac{5}{8} \end{gathered}$

D.

$\begin{gathered} \frac{9}{4}=\frac{9}{4} \\ \frac{4}{9}=\frac{4}{9} \\ \Rightarrow\frac{9}{4}\ne\frac{4}{9} \end{gathered}$

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