Solve \( 2 \frac{1}{3}+1 \frac{1}{5} \) in the Simlest mettiod and simplizy the unswer fourther.

To solve \( 2 \frac{1}{3} + 1 \frac{1}{5} \), first convert these mixed numbers into improper fractions. \( 2 \frac{1}{3} = \frac{7}{3} \) (since \( 2 \times 3 + 1 = 7 \)) \( 1 \frac{1}{5} = \frac{6}{5} \) (since \( 1 \times 5 + 1 = 6 \)) Now add the fractions: To add \( \frac{7}{3} + \frac{6}{5} \), we need a common denominator, which is 15. Convert each fraction: \( \frac{7}{3} = \frac{35}{15} \) (by multiplying the numerator and denominator by 5) \( \frac{6}{5} = \frac{18}{15} \) (by multiplying the numerator and denominator by 3) Now add them together: \( \frac{35}{15} + \frac{18}{15} = \frac{53}{15} \) Finally, convert back to a mixed number: \( \frac{53}{15} = 3 \frac{8}{15} \) (since \( 53 \div 15 = 3 \) with a remainder of 8) So, \( 2 \frac{1}{3} + 1 \frac{1}{5} = 3 \frac{8}{15} \). Enjoy your math adventures!