If the sum of numerator and denominator of a fraction is 55 and the value of the fraction is 3/8 then the fraction is:

Correct option is D

Let the numerator be 'x'.
Let the denominator be 'y'.
Equation 1 (Sum of numerator and denominator):
x + y = 55
Equation 2 (Value of the fraction):
x / y = 3/8
From Equation 2:
x = (3/8)y
Substitute this value of 'x' into Equation 1:
(3/8)y + y = 55
Simplify:
(11/8)y = 55
Solve for 'y':
y = 55 x (8/11) = 40
Substitute 'y' back into the equation for 'x':
x = (3/8) x 40 = 15
Therefore, the fraction is 15/40 = 3/8