Fractions are much easier to compare when they share a single denominator. Multiplying the numerator and denominator both of 3/8 by 8, we get 24/64. Then the distance between 3/8, or 24/64, and 61/64 is:
N = 61/64 - 24/64
Answer D is correct. 3/8 + N = 61/64 is equivalent to the above result.