1. Estimate the sum by rounding the mixed numbers to the nearest whole numbers. \( 13 \frac{2}{3}+22 \frac{1}{5}+9 \frac{11}{15} \) (A) 44 (B) 45 (A) 46 (D) 47

To estimate the sum, we can round each mixed number to the nearest whole number. For \( 13 \frac{2}{3} \), we round it to 14, since \( \frac{2}{3} \) is closer to 1. For \( 22 \frac{1}{5} \), we round it to 22, as \( \frac{1}{5} \) is closer to 0. Finally, \( 9 \frac{11}{15} \) rounds to 10, as \( \frac{11}{15} \) is closer to 1. Adding these rounded numbers gives us \( 14 + 22 + 10 = 46 \). So, the estimated sum is \( 46 \) (Option C).