Which of the following ratios is equivalent to 3/2

9/6

9/4

2/3

1

The ratio 3/2 is equivalent to the ratio 9/6.

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To find the ratio that is equivalent to 3/2, we can divide the numerator and denominator of 3/2 by the same number to simplify it.

Dividing 3 by 3 and 2 by 3, we get:

(3 ÷ 3) / (2 ÷ 3) = 1 / (2/3)

Therefore, the ratio that is equivalent to 3/2 is 1 / (2/3).

To determine which ratio is equivalent to 3/2, we need to find a ratio that simplifies to the same value. To simplify a ratio, we divide both the numerator and the denominator by their greatest common divisor (GCD).

1. Ratio: 9/6

To simplify this ratio, we find the GCD of 9 and 6, which is 3. Dividing both the numerator and the denominator by 3 gives us 3/2.

2. Ratio: 9/4

To simplify this ratio, we find the GCD of 9 and 4, which is 1. Dividing both the numerator and the denominator by 1 does not change the ratio, so 9/4 is not equivalent to 3/2.

3. Ratio: 2/3

To simplify this ratio, we find the GCD of 2 and 3, which is 1. Dividing both the numerator and the denominator by 1 does not change the ratio, so 2/3 is not equivalent to 3/2.

4. Ratio: 1

To simplify this ratio, we find the GCD of 1 and any number, which is always 1. Dividing both the numerator and the denominator by 1 does not change the ratio, so 1 is not equivalent to 3/2.

Therefore, the only ratio equivalent to 3/2 is 9/6.