Which of the following ratios is equivalent to 3/2?
9/6
2/3
9/4
1
The ratio that is equivalent to 3/2 is 9/6, since both ratios simplify to the same decimal value of 1.5.
To find the ratio that is equivalent to 3/2, we need to find a ratio where the numerator and denominator have the same ratio as 3 and 2 respectively.
Let's check each option:
1) 9/6: If we simplify this ratio, we divide both the numerator and the denominator by their greatest common divisor, which is 3. So, 9/6 simplifies to 3/2, which is equivalent to the original ratio of 3/2.
2) 2/3: This ratio is not equivalent to 3/2 because the numerator and denominator do not have the same ratio as 3 and 2 respectively.
3) 9/4: This ratio is not equivalent to 3/2 because the numerator and denominator do not have the same ratio as 3 and 2 respectively.
4) 1: This ratio is not equivalent to 3/2 because the numerator and denominator do not have the same ratio as 3 and 2 respectively.
Therefore, the only ratio that is equivalent to 3/2 is 9/6.
To find a ratio that is equivalent to 3/2, you can multiply or divide both the numerator and denominator of the given ratio by the same number.
Let's consider each option:
1) 9/6: To check if this ratio is equivalent to 3/2, we can simplify it further by dividing both numerator and denominator by their greatest common divisor, which is 3.
After simplifying 9/6, we get 3/2. Thus, 9/6 is equivalent to 3/2.
2) 2/3: This ratio is not equivalent to 3/2. If we try to simplify 2/3, we can see that the numerator and denominator do not have a common factor to divide by.
3) 9/4: This ratio is not equivalent to 3/2. If we try to simplify 9/4, we can see that the numerator and denominator do not have a common factor to divide by.
4) 1: This ratio is not equivalent to 3/2. 1 is a whole number and cannot be simplified further.
Therefore, the ratio 9/6 is equivalent to 3/2.