To divide fractions, we invert the second fraction (divisor) and multiply it with the first fraction (dividend).
7/8 ÷ 3/4 = 7/8 × 4/3 = (7 × 4)/(8 × 3) = 28/24
To simplify the fraction, we can reduce it by dividing both the numerator and denominator by their greatest common factor, which is 4.
28/24 = 7/6
Therefore, the answer is D. 7/6.