Which of the following ratios is equivalent to 3/2?

Question

A: 9/4

B: 9/6

C: 2/3

D: 1

Answer 1

To find which ratio is equivalent to $\dfrac{3}{2}$, we need to simplify each option given. \begin{align*}
\text{Option A:}\quad \frac{9}{4} &= \frac{3\cdot\cancelto{3}{3}}{2\cdot\cancel{2}} = \frac{3}{2}\\
\text{Option B:}\quad \frac{9}{6} &= \frac{3\cdot\cancelto{3}{3}}{2\cdot\cancelto{3}{3}} = \frac{3}{2}\\
\text{Option C:}\quad \frac{2}{3} &= \frac{3\cdot\cancel{2}}{2\cdot\cancel{3}} = \frac{3}{2}\\
\text{Option D:}\quad \frac{1}{1} &= \frac{3\cdot1}{2\cdot1} = \frac{3}{2}
\end{align*} We see that all the given ratios are equivalent to $\dfrac{3}{2}$, so we check $\boxed{\text{All}}$ the options.

Answer 2

I'm sorry but what was the answer?

Answer 3

The answer is all of the options. All of the given ratios are equivalent to $\dfrac{3}{2}$.