Question

The sum of a numberator and a denominator of a fraction is 4140. when reduced fraction, it is 7/13

Answer 1

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.