Which of the following ratios is equivalent to 3/2 ?(1 point)
Responses
94
Start Fraction 9 over 4 End Fraction
23
Start Fraction 2 over 3 End Fraction
96
Start Fraction 9 over 6 End Fraction
1
Start Fraction 9 over 6 End Fraction
To determine which of the given ratios is equivalent to 3/2, we must compare the fractions.
The given options are:
1. 94
2. Start Fraction 9 over 4 End Fraction
3. 23
4. Start Fraction 2 over 3 End Fraction
5. 96
6. Start Fraction 9 over 6 End Fraction
7. 1
Among these options, the fraction that is equivalent to 3/2 is:
Start Fraction 9 over 4 End Fraction (Option 2)
To find the ratio that is equivalent to 3/2, we need to find a ratio that has the same value when simplified.
To simplify a ratio, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both of them by the GCD.
In the case of 3/2, the GCD is 1 (since 3 and 2 have no common factors other than 1).
So, we need to find a ratio where the numerator and denominator are both divisible by 1.
Looking at the provided options:
- 94: The numerator is not divisible by 1, so this ratio is not equivalent to 3/2.
- Start Fraction 9 over 4 End Fraction: The numerator (9) is divisible by 1, but the denominator (4) is not divisible by 1. So this ratio is not equivalent to 3/2.
- 23: The numerator (2) is divisible by 1, but the denominator (3) is not divisible by 1. So this ratio is not equivalent to 3/2.
- Start Fraction 9 over 6 End Fraction: Both the numerator (9) and the denominator (6) are divisible by 1. So this ratio is equivalent to 3/2.
- 1: The numerator (1) is not divisible by 1, so this ratio is not equivalent to 3/2.
Therefore, the correct ratio that is equivalent to 3/2 is Start Fraction 9 over 6 End Fraction.