Add and subtract fractions - Fraction Worksheets for Year 3 (age 7 - Free Printable

Sure! Let's solve each of these fraction problems step by step. Since the denominators are unlike (different), we must first find a common denominator, then add or subtract the numerators, and finally simplify if possible.

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Problem 1:

> 2/3 + 1/2

- LCD of 3 and 2 is 6
- Convert:
2/3 = 4/6
1/2 = 3/6
- Add: 4/6 + 3/6 = 7/6
- Simplify: 7/6 = 1 1/6

✔ Answer: 7/6 or 1 1/6

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Problem 2:

> 2/5 + 1/10

- LCD of 5 and 10 is 10
- Convert:
2/5 = 4/10
1/10 = 1/10
- Add: 4/10 + 1/10 = 5/10
- Simplify: 5/10 = 1/2

✔ Answer: 1/2

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Problem 3:

> 1/5 + 2/4

- First, simplify 2/4 → 1/2
- Now: 1/5 + 1/2
- LCD of 5 and 2 is 10
- Convert:
1/5 = 2/10
1/2 = 5/10
- Add: 2/10 + 5/10 = 7/10

✔ Answer: 7/10

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Problem 4:

> 3/5 + 3/8

- LCD of 5 and 8 is 40
- Convert:
3/5 = 24/40
3/8 = 15/40
- Add: 24/40 + 15/40 = 39/40

✔ Answer: 39/40 (already simplified)

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Problem 5:

> 2/7 + 1/4

- LCD of 7 and 4 is 28
- Convert:
2/7 = 8/28
1/4 = 7/28
- Add: 8/28 + 7/28 = 15/28

✔ Answer: 15/28

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Problem 6:

> 3/5 - 3/10

- LCD of 5 and 10 is 10
- Convert:
3/5 = 6/10
3/10 = 3/10
- Subtract: 6/10 - 3/10 = 3/10

✔ Answer: 3/10

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Problem 7:

> 4/6 - 1/12

- First, simplify 4/6 → 2/3
- Now: 2/3 - 1/12
- LCD of 3 and 12 is 12
- Convert:
2/3 = 8/12
1/12 = 1/12
- Subtract: 8/12 - 1/12 = 7/12

✔ Answer: 7/12

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Problem 8:

> 4/6 - 1/2

- Simplify 4/6 → 2/3
- Now: 2/3 - 1/2
- LCD of 3 and 2 is 6
- Convert:
2/3 = 4/6
1/2 = 3/6
- Subtract: 4/6 - 3/6 = 1/6

✔ Answer: 1/6

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Problem 9:

> 3/4 - 1/3

- LCD of 4 and 3 is 12
- Convert:
3/4 = 9/12
1/3 = 4/12
- Subtract: 9/12 - 4/12 = 5/12

✔ Answer: 5/12

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Problem 10:

> 7/8 - 3/4

- LCD of 8 and 4 is 8
- Convert:
7/8 = 7/8
3/4 = 6/8
- Subtract: 7/8 - 6/8 = 1/8

✔ Answer: 1/8

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## ✔ Final Answers:

1. 7/6 or 1 1/6
2. 1/2
3. 7/10
4. 39/40
5. 15/28
6. 3/10
7. 7/12
8. 1/6
9. 5/12
10. 1/8

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Let me know if you’d like to see visual models (like pie charts or number lines) for any of these!