Which of the following ratios is equivalent to 3/2?
The ratio 3/2 is equivalent to the ratio 6/4.
To find an equivalent ratio to 3/2, we can multiply or divide both numbers by the same nonzero value. Let's list the given ratios and simplify them:
1/2
2/4
4/6
3/2
6/4
To simplify each ratio, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both numbers by it. Let's simplify each ratio:
1/2 cannot be simplified further.
2/4 simplifies to 1/2.
4/6 simplifies to 2/3.
3/2 cannot be simplified further.
6/4 simplifies to 3/2.
Therefore, the ratio that is equivalent to 3/2 is 6/4.
To find the equivalent ratios to 3/2, we need to compare the numerator (3) and denominator (2) with different multiples. We can multiply both the numerator and denominator by the same non-zero number to get an equivalent ratio. Let's try:
- Multiplying both the numerator and denominator by 2: (3*2)/(2*2) = 6/4
- Multiplying both the numerator and denominator by 3: (3*3)/(2*3) = 9/6
- Multiplying both the numerator and denominator by 4: (3*4)/(2*4) = 12/8
So, the equivalent ratios to 3/2 are 6/4, 9/6, and 12/8.