\begin{tabular}{|llll|}\hline Calculate: & 2. \( \frac{3}{5}+\frac{1}{2} \) & 3. & \( \frac{7}{10}+\frac{3}{5} \) \\ 1. \( \frac{1}{2}+\frac{3}{4} \) & 5. \( \frac{3}{4}-\frac{1}{2} \) & 6. \( \frac{5}{8}-\frac{1}{4} \) \\ 4. \( \frac{3}{5}+\frac{2}{9} \) & 8. \( \frac{4}{7}-\frac{3}{6} \) & 9. \( 2 \frac{1}{2}+3 \frac{1}{4} \) \\ 7. \( \frac{77}{100}-\frac{1}{2} \) & \end{tabular}

Below are the step‐by‐step calculations and final answers for each problem. 1. ½ + ¾   • Write ½ as 2/4 so that both fractions have the same denominator.   • 2/4 + 3/4 = 5/4, which can also be written as 1 1/4. 2. 3/5 + ½   • The common denominator for 5 and 2 is 10.   • Convert: 3/5 = 6/10 and ½ = 5/10.   • 6/10 + 5/10 = 11/10 = 1 1/10. 3. 7/10 + 3/5   • The common denominator is 10.   • Convert: 3/5 = 6/10.   • 7/10 + 6/10 = 13/10 = 1 3/10. 4. 3/5 + 2/9   • The least common denominator for 5 and 9 is 45.   • Convert: 3/5 = 27/45 and 2/9 = 10/45.   • 27/45 + 10/45 = 37/45. 5. 3/4 – ½   • Write ½ as 2/4.   • 3/4 – 2/4 = 1/4. 6. 5/8 – ¼   • Write ¼ as 2/8.   • 5/8 – 2/8 = 3/8. 7. 77/100 – ½   • Write ½ as 50/100.   • 77/100 – 50/100 = 27/100. 8. 4/7 – 3/6   • The common denominator for 7 and 6 is 42.   • Convert: 4/7 = 24/42 and 3/6 = 21/42.   • 24/42 – 21/42 = 3/42, which simplifies to 1/14. 9. 2 ½ + 3 ¼   • Convert to improper fractions:    – 2 ½ = (2×2 + 1)/2 = 5/2    – 3 ¼ = (3×4 + 1)/4 = 13/4   • Find a common denominator (4): 5/2 = 10/4.   • 10/4 + 13/4 = 23/4, which is 5 3/4 when written as a mixed number. Final Answers: 1. 5/4 or 1 1/4 2. 11/10 or 1 1/10 3. 13/10 or 1 3/10 4. 37/45 5. 1/4 6. 3/8 7. 27/100 8. 1/14 9. 23/4 or 5 3/4