Which of the following ratios is equivalent to 3/2?
Options:
2/3
1
9/4
9/6
To find the equivalent ratio, we need to simplify the given ratio 3/2. The simplification process involves dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 3 and 2 is 1, so we divide both numbers by 1.
Therefore, the simplified ratio is 3/2.
None of the options listed are equivalent to 3/2.
Pick out of the options i give u
Based on the options you provided, the ratio that is equivalent to 3/2 is 9/6.
To find the equivalent ratio of 3/2, we need to simplify it.
Step 1: Find the greatest common divisor (GCD) of 3 and 2:
The factors of 3 are 1 and 3.
The factors of 2 are 1 and 2.
The only common factor is 1. Therefore, the GCD of 3 and 2 is 1.
Step 2: Divide both the numerator and denominator of the given ratio by the GCD:
3 ÷ 1 = 3
2 ÷ 1 = 2
The simplified ratio is 3/2.
Now, let's check which of the options is equivalent to 3/2.
Option 1: 2/3
We can see that 3/2 and 2/3 are not equivalent.
Option 2: 1
1 is not equivalent to 3/2.
Option 3: 9/4
We can simplify 9/4 by finding its GCD.
The factors of 9 are 1, 3, and 9.
The factors of 4 are 1 and 4.
The only common factor is 1. Therefore, the GCD of 9 and 4 is 1.
9 ÷ 1 = 9
4 ÷ 1 = 4
The simplified ratio is 9/4.
Option 4: 9/6
9/6 can also be simplified by finding its GCD.
The factors of 9 are 1, 3, and 9.
The factors of 6 are 1, 2, 3, and 6.
The common factor is 3. Therefore, the GCD of 9 and 6 is 3.
9 ÷ 3 = 3
6 ÷ 3 = 2
The simplified ratio is 3/2.
So, the answer is Option 4: 9/6.
To find the ratio that is equivalent to 3/2, we need to simplify the fraction 3/2.
1. To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 3 and 2 is 1.
2. Divide both the numerator and denominator by the GCD.
3 ÷ 1 = 3
2 ÷ 1 = 2
Therefore, the simplified fraction of 3/2 is 3/2 itself.
Now, let's check which of the options is equivalent to 3/2:
a) 2/3: This ratio is not equivalent to 3/2.
b) 1: This is not a ratio. It is a whole number.
c) 9/4: This ratio is not equivalent to 3/2 either.
d) 9/6: To check if this is equivalent to 3/2, we need to simplify it.
The GCD of 9 and 6 is 3.
9 ÷ 3 = 3
6 ÷ 3 = 2
Therefore, the simplified fraction of 9/6 is 3/2.
So, the ratio that is equivalent to 3/2 is 9/6.