Which of the following ratios is equivalent to 3/2 ?(1 point)
Responses
1
1
2/3
Start Fraction 2 over 3 End Fraction
9/4
Start Fraction 9 over 4 End Fraction
9/6
Start Fraction 9 over 6 End Fraction
To determine which of the given ratios is equivalent to 3/2, we can simplify each ratio and compare them.
Let's start with the options:
1. 1/1 - This ratio is not equivalent to 3/2.
2. 2/3 - This ratio is not equivalent to 3/2.
3. 9/4 - This ratio is not equivalent to 3/2.
4. 9/6 - This ratio can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3.
Simplifying 9/6, we get 3/2, which is equivalent to the given ratio of 3/2.
Therefore, the ratio that is equivalent to 3/2 is 9/6.
To determine which of the given ratios is equivalent to 3/2, we need to find the ratio(s) that can be simplified to 3/2.
The given ratios are:
1/1
2/3
9/4
9/6
To simplify a ratio, we need to divide both the numerator (top number) and denominator (bottom number) by their greatest common divisor (GCD).
For the ratio 1/1, we can see that it is already in its simplified form.
For the ratio 2/3, we need to check if the numerator and denominator have any common factors. In this case, there are no common factors other than 1. Therefore, 2/3 cannot be simplified further.
For the ratio 9/4, we can simplify it by finding the GCD of 9 and 4. The GCD of 9 and 4 is 1, so 9/4 cannot be reduced.
For the ratio 9/6, we can simplify it by finding the GCD of 9 and 6. The GCD of 9 and 6 is 3. Dividing both the numerator and denominator by 3, we get 3/2.
Therefore, the ratio 9/6 is equivalent to 3/2.
The answer is: 9/6.