I'll solve each fraction addition problem step by step, finding common denominators and simplifying where needed.
Problem 1: 2/7 + 3/5
- Common denominator: 7 × 5 = 35
- 2/7 = 10/35
- 3/5 = 21/35
- 10/35 + 21/35 = 31/35
Problem 2: 3/4 + 1/12
- Common denominator: 12 (since 4 goes into 12)
- 3/4 = 9/12
- 9/12 + 1/12 = 10/12 = 5/6
Problem 3: 2/7 + 1/5
- Common denominator: 7 × 5 = 35
- 2/7 = 10/35
- 1/5 = 7/35
- 10/35 + 7/35 = 17/35
Problem 4: 2/5 + 4/9
- Common denominator: 5 × 9 = 45
- 2/5 = 18/45
- 4/9 = 20/45
- 18/45 + 20/45 = 38/45
Problem 5: 1/2 + 3/14
- Common denominator: 14 (since 2 goes into 14)
- 1/2 = 7/14
- 7/14 + 3/14 = 10/14 = 5/7
Problem 6: 5/8 + 3/10
- Common denominator: 40 (LCM of 8 and 10)
- 5/8 = 25/40
- 3/10 = 12/40
- 25/40 + 12/40 = 37/40
Problem 7: 5/10 + 3/20
- Simplify first: 5/10 = 1/2
- Common denominator: 20
- 1/2 = 10/20
- 10/20 + 3/20 = 13/20
Problem 8: 4/5 + 1/25
- Common denominator: 25 (since 5 goes into 25)
- 4/5 = 20/25
- 20/25 + 1/25 = 21/25
Problem 9: 3/7 + 2/8
- Simplify: 2/8 = 1/4
- Common denominator: 28 (LCM of 7 and 4)
- 3/7 = 12/28
- 1/4 = 7/28
- 12/28 + 7/28 = 19/28
Problem 10: 6/11 + 7/33
- Common denominator: 33 (since 11 goes into 33)
- 6/11 = 18/33
- 18/33 + 7/33 = 25/33
Final Answer:
1. 31/35
2. 5/6
3. 17/35
4. 38/45
5. 5/7
6. 37/40
7. 13/20
8. 21/25
9. 19/28
10. 25/33
Parent Tip: Review the logic above to help your child master the concept of adding fractions practice worksheet.
