I'll solve the problem by adding the unlike fractions in the worksheet. To do this, I need to find a common denominator for each pair of fractions, convert them to equivalent fractions with that common denominator, and then add the numerators.
Let me work through each problem:
1. 1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 1/6
2. 8/12 + 8/11 = 22/33 + 24/33 = 46/33 = 1 13/33 (simplified from 88/132)
3. 2/7 + 6/10 = 20/70 + 42/70 = 62/70 = 31/35
4. 1/6 + 6/11 = 11/66 + 36/66 = 47/66
5. 5/4 + 1/2 = 5/4 + 2/4 = 7/4 = 1 3/4
6. 9/12 + 2/12 = 11/12
7. 2/7 + 1/2 = 4/14 + 7/14 = 11/14
8. 1/4 + 6/8 = 2/8 + 6/8 = 8/8 = 1
9. 4/10 + 4/5 = 4/10 + 8/10 = 12/10 = 6/5 = 1 1/5
10. 1/2 + 8/11 = 11/22 + 16/22 = 27/22 = 1 5/22
11. 1/11 + 2/12 = 12/132 + 22/132 = 34/132 = 17/66
12. 2/12 + 2/4 = 2/12 + 6/12 = 8/12 = 2/3
13. 3/5 + 3/8 = 24/40 + 15/40 = 39/40
14. 6/9 + 1/2 = 12/18 + 9/18 = 21/18 = 7/6 = 1 1/6
The solutions are:
1. 1 1/6
2. 1 13/33
3. 31/35
4. 47/66
5. 1 3/4
6. 11/12
7. 11/14
8. 1
9. 1 1/5
10. 1 5/22
11. 17/66
12. 2/3
13. 39/40
14. 1 1/6
Parent Tip: Review the logic above to help your child master the concept of addition and subtraction of fractions with unlike denominators worksheet.
