Which of the following ratios is equivalent to 3/2 1,9/6,9/4,2/3
The ratio that is equivalent to 3/2 is 9/6.
To determine which of the given ratios is equivalent to 3/2, we need to simplify each ratio and compare it to 3/2.
Let's simplify the ratios one by one:
1. 1
This ratio cannot be simplified further since both the numerator and denominator are already integers.
2. 9/6
We can simplify this ratio by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 3.
Dividing both the numerator and denominator by 3, we get:
9/6 = (9 ÷ 3) / (6 ÷ 3) = 3/2
Therefore, this ratio is equivalent to 3/2.
3. 9/4
We can simplify this ratio by dividing both the numerator and denominator by their GCD. In this case, the GCD is 1.
Dividing both the numerator and denominator by 1 gives:
9/4 = (9 ÷ 1) / (4 ÷ 1) = 9/4
Therefore, this ratio is not equivalent to 3/2.
4. 2/3
We can simplify this ratio by dividing both the numerator and denominator by their GCD. In this case, the GCD is 1.
Dividing both the numerator and denominator by 1 gives:
2/3 = (2 ÷ 1) / (3 ÷ 1) = 2/3
Therefore, this ratio is not equivalent to 3/2.
In summary, the ratios that are equivalent to 3/2 are: 1 and 9/6.
To determine which of the given ratios is equivalent to 3/2, we need to find ratios with the same value.
The ratio 3/2 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD is 1 since there are no common factors other than 1.
Dividing 3/2 by 1 gives us the simplified ratio of 3/2.
Now, let's compare this simplified ratio with the given options:
1) 9/6: To simplify this ratio, we can divide both the numerator and the denominator by their GCD, which is 3. So, 9/6 simplifies to 3/2. Thus, 9/6 is equivalent to 3/2.
2) 9/4: This ratio cannot be simplified any further. So, it is not equivalent to 3/2.
3) 2/3: This ratio is not equivalent to 3/2 as the numerator and denominator are different.
Therefore, the only ratio that is equivalent to 3/2 among the given options is 9/6.