Let the numerator be represented by x and the denominator be represented by y.
From the problem, we know that x + y = 4140.
We also know that the fraction reduces to 7/13. This means that x/y = 7/13.
We can use these two equations to solve for x and y:
x/y = 7/13
x = (7/13)y
Substitute this into the first equation:
(7/13)y + y = 4140
(20/13)y = 4140
y = (13/20) * 4140
y = 2739
Now that we know y, we can find x:
x + 2739 = 4140
x = 1401
Therefore, the numerator is 1401 and the denominator is 2739.