Write the ratio: \( \frac{1}{11} \) to \( \frac{6}{11} \) as a fraction in lowest terms.

To find the ratio \( \frac{1}{11} \) to \( \frac{6}{11} \), we write it as a fraction: \[ \text{Ratio} = \frac{\frac{1}{11}}{\frac{6}{11}} \] When dividing fractions, we can multiply by the reciprocal of the denominator. Thus, we have: \[ \frac{\frac{1}{11}}{\frac{6}{11}} = \frac{1}{11} \times \frac{11}{6} = \frac{1 \times 11}{11 \times 6} = \frac{1}{6} \] Now, we need to check if \( \frac{1}{6} \) is in its lowest terms. The numerator is 1 and the denominator is 6, and since 1 does not have any common factors with 6 other than 1 itself, we confirm that it is in lowest terms. Thus, the ratio \( \frac{1}{11} \) to \( \frac{6}{11} \) as a fraction in lowest terms is: \[ \frac{1}{6} \]