You need 1/12 cups of additional broth.  To get this answer, you first need to find the least common multiple of the denominators.  So, the LMC of 3 and 4 is 12.  Multiply the top and bottom of the fractions so that they share the same denominator.  Multiplying 3/4 with a 3 on both the numerator and denominator gets you 9/12 while multiplying 2/3 with a 4 on both the top and bottom gets you 8/12.  After that, subtract 8/12 from 9/12 to get 1/12.