Question A fraction reduces to 36. If its denominator is 6x5, what is its numerator?
To reduce a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD. In this case, we know that the fraction reduces to 36, which means the numerator and denominator have a GCD of 36.
The denominator is given as 6x5. We can simplify it by multiplying 6 and 5 to get 30. Therefore, the denominator is 30.
Since the GCD of the numerator and denominator is 36, and the denominator is 30, we can set up the following equation:
36 = (Numerator)/(Denominator)
Where the numerator is represented by "Numerator".
To find the numerator, we can rearrange the equation:
Numerator = 36 * Denominator
Substituting the values, we have:
Numerator = 36 * 30
Numerator = 1080
Therefore, the numerator is 1080.