1. The problem is to evaluate the expression $\frac{3}{4} + \frac{2}{5}$. 2. To add fractions with different denominators, find the least common denominator (LCD). Here, LCD of 4 and 5 is 20. 3. Convert each fraction: $\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}$ and $\frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20}$. 4. Add the fractions: $\frac{15}{20} + \frac{8}{20} = \frac{15+8}{20} = \frac{23}{20}$. 5. The answer $\frac{23}{20}$ is correct. 6. For problem 2, the expression is $\frac{1}{1} \times \frac{5}{5} \times \frac{1}{1} + \frac{9}{5}$. Simplify $\frac{1}{1} \times \frac{5}{5} \times \frac{1}{1} = 1$. So, $1 + \frac{9}{5} = \frac{5}{5} + \frac{9}{5} = \frac{14}{5}$, which is correct. 7. Problem 3: $\frac{13}{7} \times 2 + \frac{3}{2} \times 7 = \frac{26}{7} + \frac{21}{2}$. LCD of 7 and 2 is 14. 8. Convert: $\frac{26}{7} = \frac{26 \times 2}{7 \times 2} = \frac{52}{14}$ and $\frac{21}{2} = \frac{21 \times 7}{2 \times 7} = \frac{147}{14}$. 9. Add: $\frac{52}{14} + \frac{147}{14} = \frac{199}{14}$, but the user wrote $\frac{47}{14}$ which is incorrect. 10. Problem 4: $\frac{5}{8} \times 6 + \frac{1}{7} \times 8 = \frac{30}{8} + \frac{8}{7}$. LCD of 8 and 7 is 56. 11. Convert: $\frac{30}{8} = \frac{30 \times 7}{8 \times 7} = \frac{210}{56}$ and $\frac{8}{7} = \frac{8 \times 8}{7 \times 8} = \frac{64}{56}$. 12. Add: $\frac{210}{56} + \frac{64}{56} = \frac{274}{56}$, but user wrote $\frac{43}{56}$ which is incorrect. 13. Problem 5: $\frac{1}{1} \times 7 + \frac{3}{7} \times \frac{1}{1} = 7 + \frac{3}{7} = \frac{49}{7} + \frac{3}{7} = \frac{52}{7}$, but user wrote $\frac{10}{7}$ which is incorrect. 14. Problems 6, 8, 10, 12, 13, 14, 15, 16, 17, 18 are incomplete and need to be solved. Summary: Problems 1 and 2 are correct. Problems 3, 4, and 5 have errors in the final answers.