1. The problem asks to find which foreign language has the fewest books in the Livingston Public Library. 2. The fractions given represent the portion of books in each language: - Korean: $\frac{1}{6}$ - Russian: $\frac{1}{12}$ - Vietnamese: $\frac{1}{6}$ - Spanish: $\frac{1}{6}$ - Japanese: $\frac{1}{4}$ - Chinese: $\frac{1}{6}$ 3. To find the fewest books, compare the fractions. The smaller the fraction, the fewer books. 4. Among these fractions, $\frac{1}{12}$ is the smallest because $\frac{1}{12} < \frac{1}{6} < \frac{1}{4}$. 5. Therefore, the language with the fewest books is Russian. **Final answer:** Russian