The midpoint is the average of the two numbers.

• \( \frac{1}{6} = \frac{2}{12} \) and \( \frac{1}{4} = \frac{3}{12} \)
• Midpoint = \( \frac{\frac{2}{12} + \frac{3}{12}}{2} = \frac{\frac{5}{12}}{2} = \frac{5}{24} \)

Check: \( \frac{5}{24} \) is exactly halfway between \( \frac{4}{24} = \frac{1}{6} \) and \( \frac{6}{24} = \frac{1}{4} \). ✓

Final Answer: \( \frac{5}{24} \)