Basic 1. Which of the following is less than \( \frac{1}{6} \) ? (A) 0.1667 (B) \( \frac{3}{18} \) (C) 0.167 (D) 0.1666 (E) \( \frac{8}{47} \)

To determine which of the given options is less than \( \frac{1}{6} \), we can first convert \( \frac{1}{6} \) into decimal form. \( \frac{1}{6} \) is approximately 0.1667. Therefore, we are looking for values that are numerically smaller than this. - (A) 0.1667 is equal to \( \frac{1}{6} \), not less. - (B) \( \frac{3}{18} = \frac{1}{6} \), not less. - (C) 0.167 is greater than \( \frac{1}{6} \). - (D) 0.1666 is less than \( \frac{1}{6} \). - (E) To evaluate \( \frac{8}{47} \), divide 8 by 47, which results in approximately 0.1702, greater than \( \frac{1}{6} \). Thus, the only option less than \( \frac{1}{6} \) is (D) 0.1666.