Which of the following ratios is equivalent to 3/2?
1 1 94 Start Fraction 9 over 4 End Fraction 23 Start Fraction 2 over 3 End Fraction 96
The ratio 3/2 is equivalent to the ratio 9/6, which simplifies to 3/2.
To determine which of the following ratios is equivalent to 3/2, we need to simplify each ratio and compare them.
1) Ratio: 1 1
This is not in the form of a fraction, so it cannot be equivalent to 3/2.
2) Ratio: 9/4
To simplify this ratio, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case:
9 ÷ 1 = 9
4 ÷ 1 = 4
Therefore, the simplified form of the ratio 9/4 is 9/4.
3) Ratio: 23 2/3
To simplify this ratio, we can convert the mixed number into an improper fraction:
23 2/3 = (23 * 3 + 2) / 3 = 71/3
Since 71 and 3 do not have any common factors other than 1, the ratio 71/3 is already in its simplest form.
4) Ratio: 96
This is not in the form of a fraction, so it cannot be equivalent to 3/2.
After simplifying each ratio, we find that both 9/4 and 23 2/3 are equivalent to 3/2.
To determine which of the following ratios is equivalent to 3/2, we need to find the ratio that simplifies to 3/2.
Let's consider the given options one by one:
Option 1: 1/94
To check if this ratio is equivalent to 3/2, we can simplify it by multiplying both the numerator and denominator by a common factor. However, no matter what factor we choose, it is not possible to simplify 1/94 to 3/2. Therefore, option 1 is not equivalent to 3/2.
Option 2: 9/4
To check if this ratio is equivalent to 3/2, we can simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 9 and 4 is 1, so the simplified form of 9/4 is still 9/4. Therefore, option 2 is not equivalent to 3/2.
Option 3: 23/2
To check if this ratio is equivalent to 3/2, we can simplify it by dividing both the numerator and denominator by their GCD. The GCD of 23 and 2 is 1, so the simplified form of 23/2 is still 23/2. Therefore, option 3 is not equivalent to 3/2.
Option 4: 2/3
To check if this ratio is equivalent to 3/2, we can simplify it by multiplying both the numerator and denominator by a common factor. By multiplying 2/3 by 3/2, we get (2*3)/(3*2) = 6/6 = 1. Therefore, option 4, which is 2/3, is not equivalent to 3/2.
Based on the above analysis, none of the given options are equivalent to 3/2.