A fraction reduces to 36. if its denominator is 6x^5, what is its numerator?
To reduce a fraction, we need to find the greatest common factor (GCF) of the numerator and denominator and then divide both numerator and denominator by the GCF.
In this case, the fraction reduces to 36, so the numerator and denominator have a GCF of 36.
The denominator is given as 6x^5. To find the GCF, we can divide by 6:
6x^5 / 6 = x^5
So, the GCF of the numerator and denominator is 36x^5.
To find the numerator, we divide the denominator by the GCF:
(36 * 6x^5) / (36x^5) = 6
So, the numerator of the fraction is 6.