Use the common-numerator and common-denominator rules to compute these divisions, expressing each answer in lowest terms. \( \begin{array}{ll}\text { (a) } \frac{12}{7} \div \frac{11}{7} & \text { (b) } \frac{7}{9} \div \frac{7}{8} \\ \text { (a) } \frac{12}{7} \div \frac{11}{7}=\square \text { (Type an integer or a simplified fraction.) }\end{array} \)

To solve \( \frac{12}{7} \div \frac{11}{7} \), we use the common-numerator rule. Since both fractions share the same denominator, we can simplify the division by focusing on the numerators: \[ \frac{12}{7} \div \frac{11}{7} = \frac{12}{11} \] Now, \( \frac{12}{11} \) is already in its lowest terms since 12 and 11 have no common factors. Now let's tackle \( \frac{7}{9} \div \frac{7}{8} \). Again, since both fractions have the same numerator, we use the common-numerator rule: \[ \frac{7}{9} \div \frac{7}{8} = \frac{8}{9} \] Here, \( \frac{8}{9} \) is also already in its lowest terms. So, the answers are: (a) \( \frac{12}{11} \); (b) \( \frac{8}{9} \).