1. The problem asks us to identify the fractions represented by points A and B on a number line between 0 and 1. 2. Since the number line is divided into equal parts between 0 and 1, each segment represents a fraction with denominator equal to the total number of segments. 3. By observing the positions, point A is located at the first division after 0, so it represents the fraction $\frac{1}{4}$. 4. Point B is located at the third division after 0, so it represents the fraction $\frac{3}{4}$. 5. Both fractions are already in simplest form. Final answers: - Letter A represents the fraction $\frac{1}{4}$. - Letter B represents the fraction $\frac{3}{4}$.