When \( \frac{5}{8} \div \frac{3}{4} \), the answer is A. \( \frac{3}{8} \) B. \( \frac{1}{2} \) C. 5

To solve the problem \( \frac{5}{8} \div \frac{3}{4} \), we can follow these steps: 1. **Understand Division of Fractions**: Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as: \[ \frac{5}{8} \div \frac{3}{4} = \frac{5}{8} \times \frac{4}{3} \] 2. **Multiply the Fractions**: Now we multiply the numerators and the denominators: \[ \frac{5 \times 4}{8 \times 3} = \frac{20}{24} \] 3. **Simplify the Fraction**: Next, we simplify \( \frac{20}{24} \) by finding the greatest common divisor (GCD) of 20 and 24, which is 4: \[ \frac{20 \div 4}{24 \div 4} = \frac{5}{6} \] Now, let's check the options provided: - A. \( \frac{3}{8} \) - B. \( \frac{1}{2} \) - C. 5 None of the options match \( \frac{5}{6} \). Therefore, it seems there might be a misunderstanding in the options provided. The correct answer to \( \frac{5}{8} \div \frac{3}{4} \) is \( \frac{5}{6} \).