Which of the following ratios is equivalent to 32?(1 point)
Responses
1
1
23
Start Fraction 2 over 3 End Fraction
96
Start Fraction 9 over 6 End Fraction
94
32 is equivalent to
Start Fraction 32 over 1 End Fraction
To determine which ratio is equivalent to 32, we need to simplify each option given:
1. 1/23 cannot be simplified further.
2. 2/3 can be simplified further. The greatest common divisor of 2 and 3 is 1, so we divide both the numerator and the denominator by 1. This simplifies the ratio to 2/3.
3. 9/6 can be simplified further. The greatest common divisor of 9 and 6 is 3, so we divide both the numerator and the denominator by 3. This simplifies the ratio to 3/2.
4. 94 cannot be simplified further.
Therefore, the ratio equivalent to 32 is 3/2.
To determine which of the given ratios is equivalent to 32, we need to compare them to the given number and see if they are equal.
Ratio 1: 1
Since 1 is not equal to 32, this ratio is not equivalent.
Ratio 2: 2/3
To check if this ratio is equal to 32, we can cross-multiply and check for equality.
2 * 32 = 64
3 does not divide 64 evenly, so this ratio is not equivalent.
Ratio 3: 9/6
To check if this ratio is equal to 32, we can simplify it.
9/6 can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD), which is 3.
9/6 simplifies to 3/2.
Now we can check if 3/2 is equal to 32.
3 * 2 = 6
6 is not equal to 32, so this ratio is not equivalent.
Ratio 4: 9/4
To check if this ratio is equal to 32, we can cross-multiply and check for equality.
9 * 32 = 288
4 does not divide 288 evenly, so this ratio is not equivalent.
Therefore, none of the given ratios is equivalent to 32.