We will be applying the given conditions in the question to calculate the fraction

Condition 1: The numerator of a fraction is 4 less than the denominator

Numerator = Denominator - 4

=> x = y - 4

=> y = x + 4 ------------------------- (1)

Condition 2: If 1 is added to both its numerator and denominator, it becomes 1/2

=> (x +1) / (y +1 ) = 1/2

=> 2(x + 1 ) = y + 1 (By cross multiplication)

=> 2x + 2 = y + 1

=> 2x + 2 = x + 4 + 1 (By substituting for 'y' from equation (1))

=> 2x - x = 5 - 2

=> x = 3

Therefore,

y = 3 + 4 = 7 (Back substituting the value value of 'x' in equation (1))

Hence, x = 3, y = 7

### Thus, the fraction in which the numerator is 4 less than denominator and if 1 is added to both its numerator and denominator, it becomes 1/2 is 3/7