A fraction reduces to 36. If it's denominator is 6x^5,what is it's numerator?
clearly, it's 36(6x^5)
thank you
To determine the numerator of the fraction that reduces to 36, we need to understand the process of reducing fractions.
Reducing a fraction means dividing both the numerator and the denominator by their greatest common divisor (GCD) to simplify the fraction. In this case, we know the denominator is 6x^5, but we're not given the numerator directly.
To find the numerator, we first need to determine the GCD of the numerator and denominator. Since the only information given is that the fraction reduces to 36, we can set up the equation:
Numerator / Denominator = Reduced Fraction = 36
To find the GCD, we can look for any common factors between the numerator and the denominator. In this case, we can see that the GCD must be a factor of 36.
The factors of 36 are:
1, 2, 3, 4, 6, 9, 12, 18, 36
Since we don't have any other information, we cannot determine the exact numerator of the fraction. However, we can list the possible numerators based on the factors of 36 and the denominator 6x^5:
Possible Numerators:
36 / 1 = 36
36 / 2 = 18
36 / 3 = 12
36 / 4 = 9
36 / 6 = 6
36 / 9 = 4
36 / 12 = 3
36 / 18 = 2
36 / 36 = 1
Therefore, there are multiple possible numerators for the fraction, depending on which factor of 36 is chosen as the GCD.