Which of the following ratios is equivalent to 32 ?(1 point)
Responses
9/4
Start Fraction 9 over 4 End Fraction
9/6
Start Fraction 9 over 6 End Fraction
2/3
Start Fraction 2 over 3 End Fraction
1
To find the equivalent ratio to 32, we need to simplify 32.
The prime factorization of 32 is 2 * 2 * 2 * 2 * 2, which can be written as 2^5.
Now let's check each option to see if any can be simplified to 2^5:
1. 9/4 = 2.25, can't be simplified to 2^5.
2. 9/6 = 1.5, can't be simplified to 2^5.
3. 2/3 = 0.67, can't be simplified to 2^5.
4. 1 = 1, can't be simplified to 2^5.
None of the options are equivalent to 32.
To determine which of the given ratios is equivalent to 32, we can simplify each ratio and compare them to 32.
Let's simplify the ratios:
1. 9/4: This ratio cannot be simplified any further.
2. 9/6: We can simplify this ratio by dividing both the numerator and denominator by the greatest common divisor (GCD), which is 3. After simplification, this ratio becomes 3/2.
3. 2/3: This ratio cannot be simplified any further.
4. 1: This ratio cannot be simplified any further.
Now let's compare the simplified ratios to 32:
1. 9/4: Not equal to 32.
2. 3/2: Not equal to 32.
3. 2/3: Not equal to 32.
4. 1: Not equal to 32.
None of the given ratios is equivalent to 32.
Please let me know if you need any further assistance.