Find the following quotient. Reduce to lowest terms. \[ \frac{42}{29} \div \frac{13}{29} \]

To find the quotient \( \frac{42}{29} \div \frac{13}{29} \), we can rewrite the division as multiplication by the reciprocal: \[ \frac{42}{29} \div \frac{13}{29} = \frac{42}{29} \times \frac{29}{13} \] Next, we can multiply the fractions. When multiplying fractions, we multiply the numerators and the denominators: \[ \frac{42 \times 29}{29 \times 13} \] Now, notice that the \( 29 \) in the numerator and the denominator will cancel each other out: \[ \frac{42}{13} \] Now, we need to check if \( \frac{42}{13} \) can be reduced further. The number 42 is \( 2 \times 3 \times 7 \), and 13 is a prime number. Since they have no common factors, \( \frac{42}{13} \) is already in its lowest terms. Thus, the final answer is: \[ \frac{42}{13} \]