Let’s solve each problem step by step. We’re adding or subtracting fractions with different denominators. To do that, we need to find a common denominator — usually the least common multiple (LCM) of the two denominators.
---
Problem 1: 2/3 + 1/2
- Denominators: 3 and 2 → LCM = 6
- Convert:
2/3 = (2×2)/(3×2) = 4/6
1/2 = (1×3)/(2×3) = 3/6
- Add: 4/6 + 3/6 = 7/6
→ Final answer:
7/6
---
Problem 2: 2/5 + 1/10
- Denominators: 5 and 10 → LCM = 10
- Convert:
2/5 = (2×2)/(5×2) = 4/10
1/10 stays as is
- Add: 4/10 + 1/10 = 5/10 → Simplify: 1/2
→ Final answer:
1/2
---
Problem 3: 1/5 + 2/4
- First, simplify 2/4 → 1/2
- Now: 1/5 + 1/2
- Denominators: 5 and 2 → LCM = 10
- Convert:
1/5 = 2/10
1/2 = 5/10
- Add: 2/10 + 5/10 = 7/10
→ Final answer:
7/10
---
Problem 4: 3/5 + 3/8
- Denominators: 5 and 8 → LCM = 40
- Convert:
3/5 = (3×8)/(5×8) = 24/40
3/8 = (3×5)/(8×5) = 15/40
- Add: 24/40 + 15/40 = 39/40
→ Final answer:
39/40
---
Problem 5: 2/7 + 1/4
- Denominators: 7 and 4 → LCM = 28
- Convert:
2/7 = (2×4)/(7×4) = 8/28
1/4 = (1×7)/(4×7) = 7/28
- Add: 8/28 + 7/28 = 15/28
→ Final answer:
15/28
---
Problem 6: 3/5 - 3/10
- Denominators: 5 and 10 → LCM = 10
- Convert:
3/5 = (3×2)/(5×2) = 6/10
3/10 stays
- Subtract: 6/10 - 3/10 = 3/10
→ Final answer:
3/10
---
Problem 7: 4/6 - 1/12
- First, simplify 4/6 → 2/3
- Now: 2/3 - 1/12
- Denominators: 3 and 12 → LCM = 12
- Convert:
2/3 = (2×4)/(3×4) = 8/12
1/12 stays
- Subtract: 8/12 - 1/12 = 7/12
→ Final answer:
7/12
---
Problem 8: 4/6 - 1/2
- Simplify 4/6 → 2/3
- Now: 2/3 - 1/2
- Denominators: 3 and 2 → LCM = 6
- Convert:
2/3 = 4/6
1/2 = 3/6
- Subtract: 4/6 - 3/6 = 1/6
→ Final answer:
1/6
---
Problem 9: 3/4 - 1/3
- Denominators: 4 and 3 → LCM = 12
- Convert:
3/4 = (3×3)/(4×3) = 9/12
1/3 = (1×4)/(3×4) = 4/12
- Subtract: 9/12 - 4/12 = 5/12
→ Final answer:
5/12
---
Problem 10: 7/8 - 3/4
- Denominators: 8 and 4 → LCM = 8
- Convert:
3/4 = (3×2)/(4×2) = 6/8
- Subtract: 7/8 - 6/8 = 1/8
→ Final answer:
1/8
---
Final Answer:
1. 7/6
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
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting uneven fractions worksheet.
