KK Adding unlike fractions Grade 5 Fractions Worksheet Find the sum. 1. \( \frac{1}{2}+\frac{2}{3}= \) \( \qquad \) 2. \( \frac{8}{12}+\frac{8}{11}= \) \( \qquad \) 3. \( \frac{2}{7}+\frac{6}{10}= \) \( \qquad \) 4. \( \frac{1}{6}+\frac{6}{11}= \) \( \qquad \) 5. \( \frac{5}{9}+\frac{1}{2}= \) \( \qquad \) 6. \( \frac{9}{12}+\frac{2}{12}= \) \( \qquad \) 7. \( \frac{2}{7}+\frac{1}{4}= \) \( \qquad \) 8. \( \frac{1}{4}+\frac{6}{8}= \) \( \qquad \) 9. \( \frac{4}{10}+\frac{4}{5}= \) \( \qquad \) 10. \( \frac{1}{2}+\frac{8}{11}= \) \( \qquad \) 11. \( \frac{1}{11}+\frac{2}{12}= \) \( \qquad \) 12. \( \frac{2}{12}+\frac{2}{4}= \) \( \qquad \) 13. \( \frac{3}{5}+\frac{3}{8}= \) \( \qquad \) 14. \( \frac{6}{9}+\frac{1}{2}= \) \( \qquad \) Driline reading \& math for K-5 Www \( \times 5 \) ple Grade 5 Adding Fractions Worksheet

Sure! I'd be happy to help you solve these Grade 5 adding fractions problems. Let's go through each question step by step. --- ### **1. \( \frac{1}{2} + \frac{2}{3} \)** **Step 1: Find a common denominator.** - The denominators are 2 and 3. - The Least Common Denominator (LCD) is 6. **Step 2: Convert each fraction to have the LCD.** - \( \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6} \) - \( \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \) **Step 3: Add the fractions.** - \( \frac{3}{6} + \frac{4}{6} = \frac{7}{6} \) **Step 4: Simplify if necessary.** - \( \frac{7}{6} = 1 \frac{1}{6} \) **Answer:** \( \frac{7}{6} \) or \( 1 \frac{1}{6} \) --- ### **2. \( \frac{8}{12} + \frac{8}{11} \)** **Step 1: Find the LCD.** - Denominators: 12 and 11 - LCD of 12 and 11 is 132. **Step 2: Convert each fraction to have the LCD.** - \( \frac{8}{12} = \frac{8 \times 11}{12 \times 11} = \frac{88}{132} \) - \( \frac{8}{11} = \frac{8 \times 12}{11 \times 12} = \frac{96}{132} \) **Step 3: Add the fractions.** - \( \frac{88}{132} + \frac{96}{132} = \frac{184}{132} \) **Step 4: Simplify the fraction.** - Divide numerator and denominator by 4: - \( \frac{184 ÷ 4}{132 ÷ 4} = \frac{46}{33} \) - \( \frac{46}{33} = 1 \frac{13}{33} \) **Answer:** \( \frac{46}{33} \) or \( 1 \frac{13}{33} \) --- ### **3. \( \frac{2}{7} + \frac{6}{10} \)** **Step 1: Find the LCD.** - Denominators: 7 and 10 - LCD is 70. **Step 2: Convert each fraction to have the LCD.** - \( \frac{2}{7} = \frac{2 \times 10}{7 \times 10} = \frac{20}{70} \) - \( \frac{6}{10} = \frac{6 \times 7}{10 \times 7} = \frac{42}{70} \) **Step 3: Add the fractions.** - \( \frac{20}{70} + \frac{42}{70} = \frac{62}{70} \) **Step 4: Simplify the fraction.** - Divide numerator and denominator by 2: - \( \frac{62 ÷ 2}{70 ÷ 2} = \frac{31}{35} \) **Answer:** \( \frac{31}{35} \) --- ### **4. \( \frac{1}{6} + \frac{6}{11} \)** **Step 1: Find the LCD.** - Denominators: 6 and 11 - LCD is 66. **Step 2: Convert each fraction to have the LCD.** - \( \frac{1}{6} = \frac{1 \times 11}{6 \times 11} = \frac{11}{66} \) - \( \frac{6}{11} = \frac{6 \times 6}{11 \times 6} = \frac{36}{66} \) **Step 3: Add the fractions.** - \( \frac{11}{66} + \frac{36}{66} = \frac{47}{66} \) **Answer:** \( \frac{47}{66} \) --- ### **5. \( \frac{5}{9} + \frac{1}{2} \)** **Step 1: Find the LCD.** - Denominators: 9 and 2 - LCD is 18. **Step 2: Convert each fraction to have the LCD.** - \( \frac{5}{9} = \frac{5 \times 2}{9 \times 2} = \frac{10}{18} \) - \( \frac{1}{2} = \frac{1 \times 9}{2 \times 9} = \frac{9}{18} \) **Step 3: Add the fractions.** - \( \frac{10}{18} + \frac{9}{18} = \frac{19}{18} \) **Step 4: Simplify if necessary.** - \( \frac{19}{18} = 1 \frac{1}{18} \) **Answer:** \( \frac{19}{18} \) or \( 1 \frac{1}{18} \) --- ### **6. \( \frac{9}{12} + \frac{2}{12} \)** **Step 1: Common denominator is already 12.** **Step 2: Add the fractions.** - \( \frac{9}{12} + \frac{2}{12} = \frac{11}{12} \) **Answer:** \( \frac{11}{12} \) --- ### **7. \( \frac{2}{7} + \frac{1}{4} \)** **Step 1: Find the LCD.** - Denominators: 7 and 4 - LCD is 28. **Step 2: Convert each fraction to have the LCD.** - \( \frac{2}{7} = \frac{2 \times 4}{7 \times 4} = \frac{8}{28} \) - \( \frac{1}{4} = \frac{1 \times 7}{4 \times 7} = \frac{7}{28} \) **Step 3: Add the fractions.** - \( \frac{8}{28} + \frac{7}{28} = \frac{15}{28} \) **Answer:** \( \frac{15}{28} \) --- ### **8. \( \frac{1}{4} + \frac{6}{8} \)** **Step 1: Find the LCD.** - Denominators: 4 and 8 - LCD is 8. **Step 2: Convert each fraction to have the LCD.** - \( \frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8} \) - \( \frac{6}{8} \) stays the same. **Step 3: Add the fractions.** - \( \frac{2}{8} + \frac{6}{8} = \frac{8}{8} = 1 \) **Answer:** \( 1 \) --- ### **9. \( \frac{4}{10} + \frac{4}{5} \)** **Step 1: Find the LCD.** - Denominators: 10 and 5 - LCD is 10. **Step 2: Convert each fraction to have the LCD.** - \( \frac{4}{10} \) stays the same. - \( \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10} \) **Step 3: Add the fractions.** - \( \frac{4}{10} + \frac{8}{10} = \frac{12}{10} \) **Step 4: Simplify if necessary.** - \( \frac{12}{10} = \frac{6}{5} = 1 \frac{1}{5} \) **Answer:** \( \frac{6}{5} \) or \( 1 \frac{1}{5} \) --- ### **10. \( \frac{1}{2} + \frac{8}{11} \)** **Step 1: Find the LCD.** - Denominators: 2 and 11 - LCD is 22. **Step 2: Convert each fraction to have the LCD.** - \( \frac{1}{2} = \frac{1 \times 11}{2 \times 11} = \frac{11}{22} \) - \( \frac{8}{11} = \frac{8 \times 2}{11 \times 2} = \frac{16}{22} \) **Step 3: Add the fractions.** - \( \frac{11}{22} + \frac{16}{22} = \frac{27}{22} \) **Step 4: Simplify if necessary.** - \( \frac{27}{22} = 1 \frac{5}{22} \) **Answer:** \( \frac{27}{22} \) or \( 1 \frac{5}{22} \) --- ### **11. \( \frac{1}{11} + \frac{2}{12} \)** **Step 1: Find the LCD.** - Denominators: 11 and 12 - LCD is 132. **Step 2: Convert each fraction to have the LCD.** - \( \frac{1}{11} = \frac{1 \times 12}{11 \times 12} = \frac{12}{132} \) - \( \frac{2}{12} = \frac{2 \times 11}{12 \times 11} = \frac{22}{132} \) **Step 3: Add the fractions.** - \( \frac{12}{132} + \frac{22}{132} = \frac{34}{132} \) **Step 4: Simplify the fraction.** - Divide numerator and denominator by 2: - \( \frac{34 ÷ 2}{132 ÷ 2} = \frac{17}{66} \) **Answer:** \( \frac{17}{66} \) --- ### **12. \( \frac{2}{12} + \frac{2}{4} \)** **Step 1: Find the LCD.** - Denominators: 12 and 4 - LCD is 12. **Step 2: Convert each fraction to have the LCD.** - \( \frac{2}{12} \) stays the same. - \( \frac{2}{4} = \frac{2 \times 3}{4 \times 3} = \frac{6}{12} \) **Step 3: Add the fractions.** - \( \frac{2}{12} + \frac{6}{12} = \frac{8}{12} \) **Step 4: Simplify the fraction.** - Divide numerator and denominator by 4: - \( \frac{8 ÷ 4}{12 ÷ 4} = \frac{2}{3} \) **Answer:** \( \frac{2}{3} \) --- ### **13. \( \frac{3}{5} + \frac{3}{8} \)** **Step 1: Find the LCD.** - Denominators: 5 and 8 - LCD is 40. **Step 2: Convert each fraction to have the LCD.** - \( \frac{3}{5} = \frac{3 \times 8}{5 \times 8} = \frac{24}{40} \) - \( \frac{3}{8} = \frac{3 \times 5}{8 \times 5} = \frac{15}{40} \) **Step 3: Add the fractions.** - \( \frac{24}{40} + \frac{15}{40} = \frac{39}{40} \) **Answer:** \( \frac{39}{40} \) --- ### **14. \( \frac{6}{9} + \frac{1}{2} \)** **Step 1: Simplify \( \frac{6}{9} \) first.** - \( \frac{6}{9} = \frac{2}{3} \) (dividing numerator and denominator by 3) **Step 2: Find the LCD.** - Denominators: 3 and 2 - LCD is 6. **Step 3: Convert each fraction to have the LCD.** - \( \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \) - \( \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6} \) **Step 4: Add the fractions.** - \( \frac{4}{6} + \frac{3}{6} = \frac{7}{6} \) **Step 5: Simplify if necessary.** - \( \frac{7}{6} = 1 \frac{1}{6} \) **Answer:** \( \frac{7}{6} \) or \( 1 \frac{1}{6} \) --- I hope these step-by-step solutions help you understand how to add unlike fractions! If you have any more questions or need further clarification, feel free to ask.