A fraction reduces to 36. If its denominator is 6x5, what is its numerator?%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A63x%0D%0A6 3 x%0D%0A%0D%0A63x5%0D%0A6 3 x 5%0D%0A%0D%0A6x5%0D%0A6 x 5%0D%0A%0D%0A67x5%0D%0A6 7 x 5
To reduce a fraction, we need to find the greatest common factor (GCF) of the numerator and denominator and divide both by it.
In this case, the denominator is 6x5.
To find the GCF, we can break down the denominator into its prime factors: 6 = 2 x 3 and 5 is already a prime number.
Therefore, the GCF is 2 x 3 x 5 = 30.
Dividing both the numerator and denominator by 30, we get:
Numerator: 36 ÷ 30 = 6
So, the numerator is 6.