The correct answer is:
8/19.
Step-by-step explanation:
2 3/8 can be written as 1 + 1 + 3/8. Each whole number 1 can then be written as a fraction, 8/8:
8/8 + 8/8 + 3/8 = 16/8 + 3/8 = 19/8
The reciprocal is found by flipping the fraction; this makes it 8/19.