Divide. Write your answer in lowest terms. Leave your answer as an improper fraction or whole number, if necessary. \( \frac{9}{8} \div \frac{9}{2} \)

To divide fractions, you can multiply by the reciprocal of the second fraction. So, \( \frac{9}{8} \div \frac{9}{2} \) becomes \( \frac{9}{8} \times \frac{2}{9} \). Now, multiply the numerators: \( 9 \times 2 = 18 \). Then multiply the denominators: \( 8 \times 9 = 72 \). Therefore, you have \( \frac{18}{72} \). To simplify, divide both the numerator and denominator by their greatest common divisor, which is 18. This gives you \( \frac{1}{4} \) as the final answer in lowest terms!