Which ratio is equivalent to 5/4?
30/42
30/20
24/30
20/30
To determine which ratio is equivalent to 5/4, we need to find a ratio that simplifies to the same value.
To simplify a ratio, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 5 and 4 is 1.
Let's simplify each ratio to find the equivalent one:
1. 30/42:
- GCD(30, 42) = 6, so dividing both numbers by 6, we get 30/6 divided by 42/6.
- This ratio simplifies to 5/7, which is not equivalent to 5/4.
2. 30/20:
- GCD(30, 20) = 10, so dividing both numbers by 10, we get 30/10 divided by 20/10.
- This ratio simplifies to 3/2, which is not equivalent to 5/4.
3. 24/30:
- GCD(24, 30) = 6, so dividing both numbers by 6, we get 24/6 divided by 30/6.
- This ratio simplifies to 4/5, which is not equivalent to 5/4.
4. 20/30:
- GCD(20, 30) = 10, so dividing both numbers by 10, we get 20/10 divided by 30/10.
- This ratio simplifies to 2/3, which is equivalent to 5/4.
Therefore, the ratio equivalent to 5/4 is 2/3.