D. 4 and 12/16
The pair of numbers that contains like fractions are those that can be expressed in the same fractional form. In this case, 4 can be expressed as 4/1 and 12/16 can also be expressed as 3/4. Therefore, the pair of numbers 4 and 12/16 contains like fractions. The other pairs of numbers (A, B, and C) do not contain like fractions.