Which of the following ratios is equivalent to 3/2?
1. 1
2. 2/3
3. 9/4
4. 9/6
To determine the equivalent ratio to 3/2, we need to find a ratio that can be simplified to 3/2.
Let's check each option:
1. 1: This ratio cannot be simplified any further. It is not equivalent to 3/2.
2. 2/3: This ratio can be simplified by dividing both the numerator and denominator by 2, resulting in 1/3. It is not equivalent to 3/2.
3. 9/4: This ratio cannot be simplified any further. It is not equivalent to 3/2.
4. 9/6: This ratio can be simplified by dividing both the numerator and denominator by 3, resulting in 3/2. It is equivalent to 3/2.
Therefore, the correct answer is 4. 9/6.
To find the equivalent ratio to 3/2, we need to simplify it.
First, check each option to see if it simplifies to 3/2.
1. Ratio 1 is 1, which is not equivalent to 3/2.
2. Ratio 2 is 2/3. To simplify it, we divide both the numerator and denominator by their greatest common divisor, which is 1.
2 ÷ 1 = 2
3 ÷ 1 = 3
Therefore, 2/3 is equivalent to 3/2.
3. Ratio 3 is 9/4. To simplify it, we divide both the numerator and denominator by their greatest common divisor, which is 1.
9 ÷ 1 = 9
4 ÷ 1 = 4
Therefore, 9/4 is not equivalent to 3/2.
4. Ratio 4 is 9/6. To simplify it, we divide both the numerator and denominator by their greatest common divisor, which is 3.
9 ÷ 3 = 3
6 ÷ 3 = 2
Therefore, 9/6 simplifies to 3/2.
The equivalent ratio to 3/2 is:
- 2/3 (Option 2)
- 9/6 (Option 4)
To find out which of the given ratios is equivalent to 3/2, we can simplify each ratio and compare them.
1. The ratio 1 is not equivalent to 3/2 because both the numerator and denominator are different.
2. To simplify 2/3, we can't directly compare it to 3/2. Instead, we need to convert it to a common denominator. Multiply the numerator and denominator of 2/3 by 2 to get 4/6. This ratio is not equivalent to 3/2 because both the numerator and denominator are different.
3. To simplify 9/4, divide both the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, 9/4 is already in its simplest form. This ratio is not equivalent to 3/2 because both the numerator and denominator are different.
4. To simplify 9/6, divide both the numerator and denominator by their greatest common divisor, which in this case is 3. Dividing 9 by 3 results in 3, and dividing 6 by 3 results in 2. Therefore, the simplified form of 9/6 is 3/2. This ratio is equivalent to 3/2 because both the numerator and denominator are the same.
So, the answer is 4. 9/6 is equivalent to 3/2.