The fraction has a value of 3/5. The sum of the numerator and the denominator was 40. What was the f

The fraction has a value of 3/5. The sum of the numerator and the denominator was 40. What was the fraction?

We're given two equations with a fraction with numerator (n) and denominator (d):

1. n + d = 40
2. n/d = 3/5

Cross multiply equation 2, we get:
5n = 3d

Divide each side by 5:
5n/5 = 3d/5
n = 3d/5

Substitute this into equation 1:
3d/5 + d = 40

Multiply through both sides of the equation by 5:
5(3d/5) = 5d = 40 * 5
3d + 5d =200

To solve this equation for d, we type it in our search engine and we get:
d = 25

Now substitute that back into equation 1:
n + 25 = 40

Using our equation solver again, we get:
n = 15