Which of the following ratios is equivalent to 3/2?
A: 9/4
B: 9/6
C: 2/3
D: 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.
I'm sorry but what was the answer?
The answer is all of the options. All of the given ratios are equivalent to $\dfrac{3}{2}$.
To determine which of the given ratios is equivalent to 3/2, we need to find the ratio that simplifies or reduces to 3/2.
We can find the simplest form of a ratio by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 3 and 2 is 1. Therefore, to simplify the ratio 3/2, we divide both the numerator and denominator by 1.
3 ÷ 1 = 3
2 ÷ 1 = 2
So, the simplest form of the ratio 3/2 is 3/2 itself.
None of the given ratios are equivalent to 3/2. Therefore, the answer is none.
Answer: None
To determine which of the listed ratios is equivalent to 3/2, we need to find the ratio that simplifies to 3/2.
One way to find the equivalent ratio is to simplify both the numerator and denominator of each ratio. We can simplify a ratio by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by that factor.
Let's simplify the ratios one by one:
A: 9/4 can be simplified by finding the GCD of 9 and 4, which is 1. Divide both numerator and denominator by 1, we get 9/4.
B: 9/6 can be simplified by finding the GCD of 9 and 6, which is 3. Divide both numerator and denominator by 3, we get 3/2.
C: 2/3 cannot be simplified further since the GCD of 2 and 3 is 1.
D: 1 is already in its simplest form, and 1/1 is equal to 1.
Therefore, the ratio that is equivalent to 3/2 is B: 9/6.