a fraction reduces to 36. if its denominator is 6x^5, what is its numerator?
a ) 6^3x
b ) 6^3x^5
c ) 6x^5
d )6^7x^5
To determine the numerator of the fraction, we need to find the greatest common factor (GCF) of the numerator and denominator and divide the denominator by this factor. In this case, the fraction is already reduced to 36, so the GCF is 36.
To find the numerator, we divide the denominator (6x^5) by the GCF (36):
(6x^5) ÷ (36) = (1/6) * (x^5/6)
The numerator is x^5/6.
Therefore, the answer is c) 6x^5.