Which of the following ratios is equivalent to 3/2
A. 1
B. 9/6
C. 9/4
D. 2/3
The ratio 3/2 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which in this case is 1.
Therefore, none of the given ratios are equivalent to 3/2.
To determine which of the given ratios is equivalent to 3/2, we need to find a ratio with the same value.
To compare ratios, we can simplify them to their simplest form by dividing the numerator and denominator by their greatest common divisor (GCD).
Let's simplify each ratio:
A. 1 cannot be simplified further.
B. To simplify 9/6, we divide both the numerator and denominator by their GCD, which is 3: (9 ÷ 3) / (6 ÷ 3) = 3/2.
C. To simplify 9/4, we divide both the numerator and denominator by their GCD, which is 1: (9 ÷ 1) / (4 ÷ 1) = 9/4.
D. To simplify 2/3, we cannot simplify it further.
By comparing the simplified ratios, we see that the one that is equivalent to 3/2 is B. 9/6.
Therefore, the correct answer is B. 9/6.
To determine which ratio is equivalent to 3/2, we need to find a ratio that has the same value when simplified.
Let's simplify the ratio 3/2.
First, we can divide both the numerator and denominator by their greatest common divisor. The greatest common divisor of 3 and 2 is 1.
Dividing both 3 and 2 by 1, we get:
3 ÷ 1 / 2 ÷ 1
Simplifying:
3/2
So, the simplified form of 3/2 is still 3/2.
Now, let's check the answer choices.
A. 1: This ratio is not equivalent to 3/2 because 1 is not the same as 3/2.
B. 9/6: To simplify this ratio, we divide both the numerator and denominator by their greatest common divisor, which is 3.
9 ÷ 3 / 6 ÷ 3
Simplifying:
3/2
So, the ratio 9/6 is equivalent to 3/2.
C. 9/4: To simplify this ratio, we divide both the numerator and denominator by their greatest common divisor, which is 1.
9 ÷ 1 / 4 ÷ 1
Simplifying:
9/4
So, the ratio 9/4 is not equivalent to 3/2.
D. 2/3: This ratio is not equivalent to 3/2 because 2/3 is not the same as 3/2.
Therefore, the ratio that is equivalent to 3/2 is B. 9/6.
To find the correct answer, we simplified each of the ratios to see if they match the simplified form of 3/2.