Which ratio is equivalent to 5/4
?(1 point)
Responses
30/24
30 over 24
30/20
30 over 20
24/30
24 over 30
20/30
24/30
how?
To find an equivalent ratio to 5/4, you can multiply both the numerator and denominator by the same number. In this case, if we multiply 5 by 6 and 4 by 6, we get 30/24.
So, 30/24 is equivalent to 5/4.
To determine which ratio is equivalent to 5/4, we need to simplify the given ratio and compare it to the options provided.
To simplify a ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 5 and 4 is 1, so dividing both by 1 does not change the value.
Therefore, the simplified ratio is still 5/4.
Now, let's check each of the options provided:
1. 30/24: To simplify this ratio, we divide both the numerator and denominator by their GCD, which is 6. Dividing 30 by 6 gives 5, and dividing 24 by 6 gives 4. So, 30/24 is equivalent to 5/4.
2. 30/20: To simplify this ratio, we divide both the numerator and denominator by their GCD, which is 10. Dividing 30 by 10 gives 3, and dividing 20 by 10 gives 2. So, 30/20 is not equivalent to 5/4.
3. 24/30: To simplify this ratio, we divide both the numerator and denominator by their GCD, which is 6. Dividing 24 by 6 gives 4, and dividing 30 by 6 gives 5. So, 24/30 is not equivalent to 5/4.
4. 20/30: To simplify this ratio, we divide both the numerator and denominator by their GCD, which is 10. Dividing 20 by 10 gives 2, and dividing 30 by 10 gives 3. So, 20/30 is not equivalent to 5/4.
Based on the above analysis, the only ratio equivalent to 5/4 is 30/24. Therefore, the correct option is "30/24" or "30 over 24".