1. **Problem statement:** Choose the correct statement among the options: Given options: A. $\frac{3}{4} \in \mathbb{Q}$ B. $-\frac{9}{8} \in \mathbb{Z}$ C. $\frac{4}{5} \in \mathbb{N}$ D. $-17 \in \mathbb{N}$ 2. **Recall definitions:** - $\mathbb{Q}$ is the set of rational numbers (fractions of integers). - $\mathbb{Z}$ is the set of integers (..., -2, -1, 0, 1, 2, ...). - $\mathbb{N}$ is the set of natural numbers (usually positive integers starting from 1). 3. **Evaluate each option:** - A: $\frac{3}{4}$ is a fraction of integers, so it is rational. True. - B: $-\frac{9}{8}$ is not an integer because denominator is not 1. False. - C: $\frac{4}{5}$ is not a natural number since it is a fraction less than 1. False. - D: $-17$ is negative, natural numbers are positive. False. 4. **Conclusion:** The correct statement is A. **Final answer:** A. $\frac{3}{4} \in \mathbb{Q}$