16. $4\frac{2}{7}+2\frac{9}{14}$

# Explanation: ## Step1: Convert mixed - numbers to improper fractions $4\frac{2}{7}=\frac{4\times7 + 2}{7}=\frac{28+2}{7}=\frac{30}{7}$ and $2\frac{9}{14}=\frac{2\times14 + 9}{14}=\frac{28 + 9}{14}=\frac{37}{14}$ ## Step2: Make the denominators the same To add $\frac{30}{7}$ and $\frac{37}{14}$, we note that $\frac{30}{7}=\frac{30\times2}{7\times2}=\frac{60}{14}$ ## Step3: Add the fractions $\frac{60}{14}+\frac{37}{14}=\frac{60 + 37}{14}=\frac{97}{14}$ ## Step4: Convert back to a mixed - number $97\div14 = 6$ with a remainder of $13$. So $\frac{97}{14}=6\frac{13}{14}$ # Answer: $6\frac{13}{14}$