Adding and Subtracting Fractions with Different Denominators

Part 1: Adding Fractions with Different Denominators

1. Add the following fractions:

   • 1/4 + 1/5
   • 3/8 + 2/5
   • 2/3 + 1/2
   • 5/6 + 7/12
   • 1/5 + 3/10

2. Simplify the answer in question 1 if possible.

3. Add the following mixed numbers:

   • 1 1/4 + 2 1/5
   • 2 3/8 + 1 2/5
   • 3 2/3 + 2 1/2
   • 4 5/6 + 3 7/12
   • 1 1/5 + 2 3/10

4. Simplify the answer in question 3 if possible.

5. Add the following fractions:

   • 1/2 + 1/3 + 1/4
   • 4/5 + 3/8 + 2/3
   • 5/6 + 2/5 + 7/12
   • 1/5 + 3/10 + 2/8

6. Simplify the answer in question 5 if possible.

Part 2: Subtracting Fractions with Different Denominators

7. Subtract the following fractions:

   • 3/4 – 1/5
   • 4/5 – 2/3
   • 5/6 – 1/2
   • 3/8 – 1/4
   • 2/3 – 1/6

8. Simplify the answer in question 7 if possible.

9. Subtract the following mixed numbers:

   • 3 1/4 – 1 1/5
   • 5 2/3 – 2 1/2
   • 6 5/6 – 3 7/12
   • 3 1/5 – 1 3/10

10. Simplify the answer in question 9 if possible.

11. Subtract the following fractions:

    • 1/2 – 1/3 – 1/4
    • 4/5 – 3/8 – 2/3
    • 5/6 – 2/5 – 7/12
    • 1/5 – 3/10 – 2/8

12. Simplify the answer in question 11 if possible.

Part 3: Adding and Subtracting Fractions with Different Denominators

13. Add or subtract the following fractions:

• 2/3 + 1/4 – 1/6
• 3/8 – 1/5 + 2/3
• 5/6 + 1/2 – 7/12
• 1/5 – 2/8 + 3/10

14. Simplify the answer in question 13 if possible.

15. Add or subtract the following mixed numbers:

• 2 3/4 + 1 1/5 – 1/3
• 3 2/3 – 1 1/2 + 2/5
• 4 5/6 + 3 1/2 – 3 7/12
• 1 1/5 – 2 3/10 + 1/4

16. Simplify the answer in question 15 if possible.

17. Add or subtract the following fractions:

• 1/2 + 1/3 – 1/4 + 1/6
• 4/5 – 3/8 – 2/3 + 1/2
• 5/6 – 2/5 + 7/12 – 1/3
• 1/5 – 3/10 – 2/8 + 1/4

18. Simplify the answer in question 17 if possible.

Conclusion

Great job! You have completed the Adding and Subtracting Fractions with Different Denominators worksheet.