Express as a fraction. \( 2 \frac{1}{6} \) pounds to \( 1 \frac{1}{6} \) pounds The answer is \( \square \). (Type a simplified fraction or mixed number.)

To express the ratio of \( 2 \frac{1}{6} \) pounds to \( 1 \frac{1}{6} \) pounds as a fraction, we first convert both mixed numbers to improper fractions. 1. Convert \( 2 \frac{1}{6} \): \[ 2 \frac{1}{6} = 2 \times 6 + 1 = 12 + 1 = 13 \quad \text{(improper fraction: } \frac{13}{6}\text{)} \] 2. Convert \( 1 \frac{1}{6} \): \[ 1 \frac{1}{6} = 1 \times 6 + 1 = 6 + 1 = 7 \quad \text{(improper fraction: } \frac{7}{6}\text{)} \] Now, we can express the ratio as: \[ \frac{2 \frac{1}{6}}{1 \frac{1}{6}} = \frac{\frac{13}{6}}{\frac{7}{6}} \] To divide fractions, we multiply by the reciprocal: \[ \frac{13}{6} \div \frac{7}{6} = \frac{13}{6} \times \frac{6}{7} = \frac{13 \times 6}{6 \times 7} = \frac{13}{7} \] Thus, the ratio of \( 2 \frac{1}{6} \) pounds to \( 1 \frac{1}{6} \) pounds is: \[ \frac{13}{7} \] The answer is \( \frac{13}{7} \).