Which of the following ratios are equivalent to 3/2
A: 9/4
B: 9/6
C: 2/3
D: 1
To determine which of the given ratios are equivalent to $\frac32,$ we can find their values. We can also simplify the given ratios and see if they simplify to $\frac32.$
We have $9/4=2.25,$ $9/6=1.5,$ $2/3=0.67,$ and $1=1.$
We can see that $9/6=1.5,$ which is equivalent to $\frac32.$
Therefore, the answer is $\boxed{\text{(B) }9/6}.$
To determine which of the given ratios are equivalent to 3/2, you can simplify each ratio and check if it simplifies to 3/2.
Let's simplify each ratio:
A: 9/4
The ratio 9/4 cannot be simplified any further, so it is not equivalent to 3/2.
B: 9/6
To simplify 9/6, we can divide both the numerator and the denominator by their greatest common divisor, which is 3:
9 ÷ 3 = 3
6 ÷ 3 = 2
The simplified ratio is 3/2, which is equivalent to 3/2.
C: 2/3
The ratio 2/3 cannot be simplified any further, so it is not equivalent to 3/2.
D: 1
The ratio 1 is not equivalent to 3/2.
Therefore, the ratio that is equivalent to 3/2 is B: 9/6.
To determine which ratios are equivalent to 3/2, we need to simplify the given ratios.
The ratio 3/2 is already simplified as it is in the form of a fraction where the numerator and denominator do not have any common factors.
Let's simplify the other ratios to see if any of them are equivalent to 3/2:
A: 9/4
We can simplify this ratio by dividing both the numerator and denominator by their greatest common divisor, which is 1.
After simplification, we get: 9/4. This ratio is not equivalent to 3/2.
B: 9/6
Again, we can simplify this ratio by dividing both the numerator and denominator by their greatest common divisor, which is 3.
After simplification, we get: 3/2. This ratio is equivalent to 3/2.
C: 2/3
This ratio is already in simplified form. However, it is not equivalent to 3/2.
D: 1
This ratio is equivalent to 3/2 if we write it as a fraction with a denominator of 2.
1 can be written as 2/2, which simplifies to 1.
In summary:
The ratios that are equivalent to 3/2 are:
B: 9/6
D: 1