Adding Fractions Worksheets - Free Printable
Educational worksheet: Adding Fractions Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Adding Fractions Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Adding Fractions Worksheets
Let’s solve each fraction addition problem step by step. Remember, when adding fractions with unlike denominators, we need to find a common denominator first — usually the least common multiple (LCM) of the two denominators. Then convert each fraction so they have that same denominator, add the numerators, and simplify if needed.
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Problem 1: 1/4 + 1/2
- Denominators: 4 and 2 → LCM = 4
- Convert 1/2 to 2/4
- Add: 1/4 + 2/4 = 3/4
✔ Final: 3/4
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Problem 2: 3/4 + 3/8
- Denominators: 4 and 8 → LCM = 8
- Convert 3/4 to 6/8
- Add: 6/8 + 3/8 = 9/8 → which is 1 1/8
✔ Final: 9/8 or 1 1/8
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Problem 3: 2/4 + 5/6
- First, simplify 2/4 → 1/2
- Now: 1/2 + 5/6
- Denominators: 2 and 6 → LCM = 6
- Convert 1/2 to 3/6
- Add: 3/6 + 5/6 = 8/6 → simplify to 4/3 or 1 1/3
✔ Final: 4/3 or 1 1/3
*(Note: You can also work without simplifying first — 2/4 = 3/6? Wait no — better to use original: 2/4 and 5/6. LCM of 4 and 6 is 12. 2/4 = 6/12, 5/6 = 10/12 → 16/12 = 4/3. Same answer.)*
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Problem 4: 3/6 + 1/3
- Simplify 3/6 → 1/2
- Now: 1/2 + 1/3
- LCM of 2 and 3 = 6
- 1/2 = 3/6, 1/3 = 2/6 → 3/6 + 2/6 = 5/6
✔ Final: 5/6
*(Alternatively: 3/6 + 1/3 → LCM of 6 and 3 is 6 → 3/6 + 2/6 = 5/6)*
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Problem 5: 8/3 + 4/5
- Denominators: 3 and 5 → LCM = 15
- 8/3 = 40/15, 4/5 = 12/15
- Add: 40/15 + 12/15 = 52/15 → which is 3 7/15
✔ Final: 52/15 or 3 7/15
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Problem 6: 2/5 + 5/10
- Simplify 5/10 → 1/2
- Now: 2/5 + 1/2
- LCM of 5 and 2 = 10
- 2/5 = 4/10, 1/2 = 5/10 → 4/10 + 5/10 = 9/10
✔ Final: 9/10
*(Or directly: 2/5 + 5/10 → LCM 10 → 4/10 + 5/10 = 9/10)*
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Problem 7: 2/3 + 1/2
- LCM of 3 and 2 = 6
- 2/3 = 4/6, 1/2 = 3/6 → 4/6 + 3/6 = 7/6 → 1 1/6
✔ Final: 7/6 or 1 1/6
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Problem 8: 4/6 + 5/8
- Simplify 4/6 → 2/3
- Now: 2/3 + 5/8
- LCM of 3 and 8 = 24
- 2/3 = 16/24, 5/8 = 15/24 → 16/24 + 15/24 = 31/24 → 1 7/24
✔ Final: 31/24 or 1 7/24
*(Without simplifying: 4/6 = 16/24? Let’s check: 4/6 = 2/3 = 16/24? 2/3 = 16/24? 16÷8=2, 24÷8=3 → yes. 5/8 = 15/24 → same as above.)*
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Problem 9: 3/9 + 1/3
- Simplify 3/9 → 1/3
- Now: 1/3 + 1/3 = 2/3
✔ Final: 2/3
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Problem 10: 6/4 + 5/12
- Simplify 6/4 → 3/2
- Now: 3/2 + 5/12
- LCM of 2 and 12 = 12
- 3/2 = 18/12, 5/12 stays → 18/12 + 5/12 = 23/12 → 1 11/12
✔ Final: 23/12 or 1 11/12
*(Without simplifying: 6/4 = 18/12? 6/4 = 3/2 = 18/12 → yes. 5/12 → total 23/12.)*
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Problem 11: 4/6 + 2/9
- Simplify 4/6 → 2/3
- Now: 2/3 + 2/9
- LCM of 3 and 9 = 9
- 2/3 = 6/9, 2/9 stays → 6/9 + 2/9 = 8/9
✔ Final: 8/9
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Problem 12: 9/2 + 2/8
- Simplify 2/8 → 1/4
- Now: 9/2 + 1/4
- LCM of 2 and 4 = 4
- 9/2 = 18/4, 1/4 stays → 18/4 + 1/4 = 19/4 → 4 3/4
✔ Final: 19/4 or 4 3/4
*(Without simplifying: 9/2 + 2/8 → LCM of 2 and 8 is 8 → 9/2 = 36/8, 2/8 = 2/8 → 38/8 = 19/4 → same.)*
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Final Answer:
1. 3/4
2. 9/8 or 1 1/8
3. 4/3 or 1 1/3
4. 5/6
5. 52/15 or 3 7/15
6. 9/10
7. 7/6 or 1 1/6
8. 31/24 or 1 7/24
9. 2/3
10. 23/12 or 1 11/12
11. 8/9
12. 19/4 or 4 3/4
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Problem 1: 1/4 + 1/2
- Denominators: 4 and 2 → LCM = 4
- Convert 1/2 to 2/4
- Add: 1/4 + 2/4 = 3/4
✔ Final: 3/4
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Problem 2: 3/4 + 3/8
- Denominators: 4 and 8 → LCM = 8
- Convert 3/4 to 6/8
- Add: 6/8 + 3/8 = 9/8 → which is 1 1/8
✔ Final: 9/8 or 1 1/8
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Problem 3: 2/4 + 5/6
- First, simplify 2/4 → 1/2
- Now: 1/2 + 5/6
- Denominators: 2 and 6 → LCM = 6
- Convert 1/2 to 3/6
- Add: 3/6 + 5/6 = 8/6 → simplify to 4/3 or 1 1/3
✔ Final: 4/3 or 1 1/3
*(Note: You can also work without simplifying first — 2/4 = 3/6? Wait no — better to use original: 2/4 and 5/6. LCM of 4 and 6 is 12. 2/4 = 6/12, 5/6 = 10/12 → 16/12 = 4/3. Same answer.)*
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Problem 4: 3/6 + 1/3
- Simplify 3/6 → 1/2
- Now: 1/2 + 1/3
- LCM of 2 and 3 = 6
- 1/2 = 3/6, 1/3 = 2/6 → 3/6 + 2/6 = 5/6
✔ Final: 5/6
*(Alternatively: 3/6 + 1/3 → LCM of 6 and 3 is 6 → 3/6 + 2/6 = 5/6)*
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Problem 5: 8/3 + 4/5
- Denominators: 3 and 5 → LCM = 15
- 8/3 = 40/15, 4/5 = 12/15
- Add: 40/15 + 12/15 = 52/15 → which is 3 7/15
✔ Final: 52/15 or 3 7/15
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Problem 6: 2/5 + 5/10
- Simplify 5/10 → 1/2
- Now: 2/5 + 1/2
- LCM of 5 and 2 = 10
- 2/5 = 4/10, 1/2 = 5/10 → 4/10 + 5/10 = 9/10
✔ Final: 9/10
*(Or directly: 2/5 + 5/10 → LCM 10 → 4/10 + 5/10 = 9/10)*
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Problem 7: 2/3 + 1/2
- LCM of 3 and 2 = 6
- 2/3 = 4/6, 1/2 = 3/6 → 4/6 + 3/6 = 7/6 → 1 1/6
✔ Final: 7/6 or 1 1/6
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Problem 8: 4/6 + 5/8
- Simplify 4/6 → 2/3
- Now: 2/3 + 5/8
- LCM of 3 and 8 = 24
- 2/3 = 16/24, 5/8 = 15/24 → 16/24 + 15/24 = 31/24 → 1 7/24
✔ Final: 31/24 or 1 7/24
*(Without simplifying: 4/6 = 16/24? Let’s check: 4/6 = 2/3 = 16/24? 2/3 = 16/24? 16÷8=2, 24÷8=3 → yes. 5/8 = 15/24 → same as above.)*
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Problem 9: 3/9 + 1/3
- Simplify 3/9 → 1/3
- Now: 1/3 + 1/3 = 2/3
✔ Final: 2/3
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Problem 10: 6/4 + 5/12
- Simplify 6/4 → 3/2
- Now: 3/2 + 5/12
- LCM of 2 and 12 = 12
- 3/2 = 18/12, 5/12 stays → 18/12 + 5/12 = 23/12 → 1 11/12
✔ Final: 23/12 or 1 11/12
*(Without simplifying: 6/4 = 18/12? 6/4 = 3/2 = 18/12 → yes. 5/12 → total 23/12.)*
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Problem 11: 4/6 + 2/9
- Simplify 4/6 → 2/3
- Now: 2/3 + 2/9
- LCM of 3 and 9 = 9
- 2/3 = 6/9, 2/9 stays → 6/9 + 2/9 = 8/9
✔ Final: 8/9
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Problem 12: 9/2 + 2/8
- Simplify 2/8 → 1/4
- Now: 9/2 + 1/4
- LCM of 2 and 4 = 4
- 9/2 = 18/4, 1/4 stays → 18/4 + 1/4 = 19/4 → 4 3/4
✔ Final: 19/4 or 4 3/4
*(Without simplifying: 9/2 + 2/8 → LCM of 2 and 8 is 8 → 9/2 = 36/8, 2/8 = 2/8 → 38/8 = 19/4 → same.)*
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Final Answer:
1. 3/4
2. 9/8 or 1 1/8
3. 4/3 or 1 1/3
4. 5/6
5. 52/15 or 3 7/15
6. 9/10
7. 7/6 or 1 1/6
8. 31/24 or 1 7/24
9. 2/3
10. 23/12 or 1 11/12
11. 8/9
12. 19/4 or 4 3/4
Parent Tip: Review the logic above to help your child master the concept of adding fractions worksheets.
