Which of the following ratios is equivalent to 3/2?
1
9/4
2/3
9/6
The ratio that is equivalent to 3/2 is 9/6.
To determine which of the given ratios is equivalent to 3/2, we can simplify each option and check for equality.
Option 1: Simplifying 1 gives 1/1, which is not equal to 3/2.
Option 2: Simplifying 9/4 gives 9/4, which is not equal to 3/2.
Option 3: Simplifying 2/3 gives 2/3, which is not equal to 3/2.
Option 4: Simplifying 9/6 gives 3/2, which is equal to 3/2.
Therefore, the ratio equivalent to 3/2 is 9/6.
To find the ratio that is equivalent to 3/2, we need to compare the given options and simplify them until we find one that is equal to 3/2.
Let's examine each option:
1. The ratio 1 cannot be equivalent to 3/2 because 1 is not equal to 3/2.
2. To determine if 9/4 is equivalent to 3/2, we can simplify both ratios to their simplest form.
The simplest form of 9/4 is already achieved because both the numerator and denominator, 9 and 4 respectively, do not have any common factors other than 1.
The simplest form of 3/2 is also achieved because both the numerator and denominator, 3 and 2 respectively, do not have any common factors other than 1.
Since 9/4 is not the same as 3/2, it is not equivalent.
3. To determine if 2/3 is equivalent to 3/2, we can simplify both ratios.
The simplest form of 2/3 is already achieved because both the numerator and denominator, 2 and 3 respectively, do not share any common factors other than 1.
The simplest form of 3/2 is not achieved because the numerator and denominator, 3 and 2 respectively, share a common factor of 1.
Since 2/3 is not the same as 3/2, it is not equivalent.
4. Finally, let's simplify 9/6 to see if it is equivalent to 3/2.
We can simplify 9/6 by dividing both the numerator and denominator by their greatest common divisor, which is 3.
Dividing 9 by 3 gives us 3, and dividing 6 by 3 gives us 2.
So, 9/6 reduces to 3/2, which is the same ratio as 3/2.
Therefore, the ratio that is equivalent to 3/2 is 9/6.