Which of the following ratios is equivalent to 3/2/
A. 9/6
B. 2/3
C. 1
D. 9/4
To find the equivalent ratio, we can cross-multiply and solve for the missing term.
3/2 = x/4
Cross-multiplying, we get 2x = 12.
Dividing both sides by 2, we get x = 6.
Therefore, the equivalent ratio is 6/4, which simplifies to 3/2.
So, the correct option is D. 9/4.
To determine which of the given ratios is equivalent to 3/2, we need to simplify the fraction 3/2.
We can simplify a fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 3 and 2 is 1, so we can divide both the numerator and the denominator by 1.
By dividing 3 by 1, we get 3, and by dividing 2 by 1, we get 2.
Therefore, the simplified form of the fraction 3/2 is 3/2.
Now let's check the given options:
A. 9/6 = (3*3)/(2*3) = 3/2 - This ratio is equivalent to 3/2.
B. 2/3 - This ratio is not equivalent to 3/2.
C. 1 - This ratio is not equivalent to 3/2.
D. 9/4 - This ratio is not equivalent to 3/2.
Therefore, the equivalent ratio to 3/2 is A. 9/6.
To determine which of the following ratios is equivalent to 3/2, we need to find a ratio that simplifies to the same value as 3/2.
The process of simplifying a ratio involves dividing both the numerator and the denominator of the ratio by their greatest common divisor (GCD). In this case, the GCD of 3 and 2 is 1, since there are no common factors other than 1.
Let's now simplify each of the ratios:
A. 9/6: We can divide both the numerator and the denominator by 3, since 9 and 6 are both divisible by 3. The simplified ratio is 3/2.
B. 2/3: This ratio cannot be simplified further, so it is not equivalent to 3/2.
C. 1: This ratio is not equivalent to 3/2 because 1 is not the same value as 3/2.
D. 9/4: This ratio cannot be simplified further, so it is not equivalent to 3/2.
From our analysis, we find that the ratio 9/6 simplifies to the same value as 3/2. Therefore, the correct answer is (A) 9/6.