I'll solve each fraction subtraction problem step by step, then provide the final answers.
Problem 1: 1/2 - 1/11
- Find common denominator: 2 × 11 = 22
- Convert: 1/2 = 11/22 and 1/11 = 2/22
- Subtract: 11/22 - 2/22 = 9/22
Problem 2: 4/6 - 2/6
- Same denominator, so subtract numerators directly
- 4/6 - 2/6 = 2/6
- Simplify: 2/6 = 1/3
Problem 3: 1/3 - 1/4
- Find common denominator: 3 × 4 = 12
- Convert: 1/3 = 4/12 and 1/4 = 3/12
- Subtract: 4/12 - 3/12 = 1/12
Problem 4: 2/3 - 3/8
- Find common denominator: 3 × 8 = 24
- Convert: 2/3 = 16/24 and 3/8 = 9/24
- Subtract: 16/24 - 9/24 = 7/24
Problem 5: 2/3 - 1/4
- Find common denominator: 3 × 4 = 12
- Convert: 2/3 = 8/12 and 1/4 = 3/12
- Subtract: 8/12 - 3/12 = 5/12
Problem 6: 4/6 - 4/8
- First simplify: 4/6 = 2/3 and 4/8 = 1/2
- Find common denominator: 3 × 2 = 6
- Convert: 2/3 = 4/6 and 1/2 = 3/6
- Subtract: 4/6 - 3/6 = 1/6
Problem 7: 2/8 - 1/8
- Same denominator, so subtract numerators directly
- 2/8 - 1/8 = 1/8
Problem 8: 2/4 - 2/7
- First simplify: 2/4 = 1/2
- Find common denominator: 2 × 7 = 14
- Convert: 1/2 = 7/14 and 2/7 = 4/14
- Subtract: 7/14 - 4/14 = 3/14
Problem 9: 7/9 - 13/21
- Find common denominator: 9 × 21 = 189 (or use LCM which is 63)
- Using 63: 7/9 = 49/63 and 13/21 = 39/63
- Subtract: 49/63 - 39/63 = 10/63
Problem 10: 9/15 - 1/2
- First simplify: 9/15 = 3/5
- Find common denominator: 5 × 2 = 10
- Convert: 3/5 = 6/10 and 1/2 = 5/10
- Subtract: 6/10 - 5/10 = 1/10
Final Answer:
1. 9/22
2. 1/3
3. 1/12
4. 7/24
5. 5/12
6. 1/6
7. 1/8
8. 3/14
9. 10/63
10. 1/10
Parent Tip: Review the logic above to help your child master the concept of subtracting fractions worksheets.