Math worksheet for practicing adding and subtracting fractions, featuring 16 problems with various fractions and operations.

I'll solve all 16 fraction problems step by step, checking my work carefully.

Problem 1: 1/3 + 2/7
- Find common denominator: 3 × 7 = 21
- Convert: 1/3 = 7/21, 2/7 = 6/21
- Add: 7/21 + 6/21 = 13/21

Problem 2: 1/12 + 1/3
- Find common denominator: 12 (since 3 goes into 12)
- Convert: 1/12 stays the same, 1/3 = 4/12
- Add: 1/12 + 4/12 = 5/12

Problem 3: 1/10 + 2/9
- Find common denominator: 10 × 9 = 90
- Convert: 1/10 = 9/90, 2/9 = 20/90
- Add: 9/90 + 20/90 = 29/90

Problem 4: 3/6 - 2/7
- First simplify: 3/6 = 1/2
- Find common denominator: 2 × 7 = 14
- Convert: 1/2 = 7/14, 2/7 = 4/14
- Subtract: 7/14 - 4/14 = 3/14

Problem 5: 2/3 + 3/16
- Find common denominator: 3 × 16 = 48
- Convert: 2/3 = 32/48, 3/16 = 9/48
- Add: 32/48 + 9/48 = 41/48

Problem 6: 1/8 - 1/16
- Find common denominator: 16 (since 8 goes into 16)
- Convert: 1/8 = 2/16, 1/16 stays the same
- Subtract: 2/16 - 1/16 = 1/16

Problem 7: 1/10 + 6/5
- Find common denominator: 10 (since 5 goes into 10)
- Convert: 1/10 stays the same, 6/5 = 12/10
- Add: 1/10 + 12/10 = 13/10 = 1 3/10

Problem 8: 9/10 - 1/10
- Same denominator, just subtract numerators
- Subtract: 9/10 - 1/10 = 8/10 = 4/5

Problem 9: 2/3 - 4/9
- Find common denominator: 9 (since 3 goes into 9)
- Convert: 2/3 = 6/9, 4/9 stays the same
- Subtract: 6/9 - 4/9 = 2/9

Problem 10: 8/12 - 8/16
- Simplify first: 8/12 = 2/3, 8/16 = 1/2
- Find common denominator: 3 × 2 = 6
- Convert: 2/3 = 4/6, 1/2 = 3/6
- Subtract: 4/6 - 3/6 = 1/6

Problem 11: 2/6 - 1/6
- Same denominator, just subtract numerators
- Subtract: 2/6 - 1/6 = 1/6

Problem 12: 1/11 + 1/4
- Find common denominator: 11 × 4 = 44
- Convert: 1/11 = 4/44, 1/4 = 11/44
- Add: 4/44 + 11/44 = 15/44

Problem 13: 3/6 - 1/6
- Same denominator, just subtract numerators
- Subtract: 3/6 - 1/6 = 2/6 = 1/3

Problem 14: 2/4 + 2/5
- Simplify first: 2/4 = 1/2
- Find common denominator: 2 × 5 = 10
- Convert: 1/2 = 5/10, 2/5 = 4/10
- Add: 5/10 + 4/10 = 9/10

Problem 15: 2/15 - 1/10
- Find common denominator: 15 × 2 = 30 (or LCM of 15 and 10 is 30)
- Convert: 2/15 = 4/30, 1/10 = 3/30
- Subtract: 4/30 - 3/30 = 1/30

Problem 16: 1/11 + 5/7
- Find common denominator: 11 × 7 = 77
- Convert: 1/11 = 7/77, 5/7 = 55/77
- Add: 7/77 + 55/77 = 62/77

Final Answer:
1. 13/21
2. 5/12
3. 29/90
4. 3/14
5. 41/48
6. 1/16
7. 13/10 or 1 3/10
8. 4/5
9. 2/9
10. 1/6
11. 1/6
12. 15/44
13. 1/3
14. 9/10
15. 1/30
16. 62/77