I'll solve all 18 problems step by step, working through each calculation carefully.
Problem 1: 5/3 + 4/3
- Add numerators: 5 + 4 = 9
- Keep denominator: 3
- Result: 9/3 = 3 (improper fraction) = 3 (mixed number)
Problem 2: 15/12 - 5/12
- Subtract numerators: 15 - 5 = 10
- Keep denominator: 12
- Result: 10/12 = 5/6 (simplified improper fraction) = 5/6 (mixed number is just 5/6 since it's less than 1)
Problem 3: 15/11 - 3/11
- Subtract numerators: 15 - 3 = 12
- Keep denominator: 11
- Result: 12/11 (improper fraction) = 1 1/11 (mixed number)
Problem 4: 13/9 + 7/9
- Add numerators: 13 + 7 = 20
- Keep denominator: 9
- Result: 20/9 (improper fraction) = 2 2/9 (mixed number)
Problem 5: 15/8 + 7/8
- Add numerators: 15 + 7 = 22
- Keep denominator: 8
- Result: 22/8 = 11/4 (simplified improper fraction) = 2 3/4 (mixed number)
Problem 6: 17/10 - 9/10
- Subtract numerators: 17 - 9 = 8
- Keep denominator: 10
- Result: 8/10 = 4/5 (simplified improper fraction) = 4/5 (mixed number is just 4/5)
Problem 7: 29/15 - 8/15
- Subtract numerators: 29 - 8 = 21
- Keep denominator: 15
- Result: 21/15 = 7/5 (simplified improper fraction) = 1 2/5 (mixed number)
Problem 8: 17/12 + 13/12
- Add numerators: 17 + 13 = 30
- Keep denominator: 12
- Result: 30/12 = 5/2 (simplified improper fraction) = 2 1/2 (mixed number)
Problem 9: 33/20 - 21/20
- Subtract numerators: 33 - 21 = 12
- Keep denominator: 20
- Result: 12/20 = 3/5 (simplified improper fraction) = 3/5 (mixed number is just 3/5)
Problem 10: 15/13 + 14/13
- Add numerators: 15 + 14 = 29
- Keep denominator: 13
- Result: 29/13 (improper fraction) = 2 3/13 (mixed number)
Problem 11: 26/9 + 34/9
- Add numerators: 26 + 34 = 60
- Keep denominator: 9
- Result: 60/9 = 20/3 (simplified improper fraction) = 6 2/3 (mixed number)
Problem 12: 27/13 - 14/13
- Subtract numerators: 27 - 14 = 13
- Keep denominator: 13
- Result: 13/13 = 1 (improper fraction) = 1 (mixed number)
Problem 13: 17/14 + 19/14
- Add numerators: 17 + 19 = 36
- Keep denominator: 14
- Result: 36/14 = 18/7 (simplified improper fraction) = 2 4/7 (mixed number)
Problem 14: 25/6 - 11/6
- Subtract numerators: 25 - 11 = 14
- Keep denominator: 6
- Result: 14/6 = 7/3 (simplified improper fraction) = 2 1/3 (mixed number)
Problem 15: 29/7 - 13/7
- Subtract numerators: 29 - 13 = 16
- Keep denominator: 7
- Result: 16/7 (improper fraction) = 2 2/7 (mixed number)
Problem 16: 27/4 + 15/4
- Add numerators: 27 + 15 = 42
- Keep denominator: 4
- Result: 42/4 = 21/2 (simplified improper fraction) = 10 1/2 (mixed number)
Problem 17: 21/8 + 17/8
- Add numerators: 21 + 17 = 38
- Keep denominator: 8
- Result: 38/8 = 19/4 (simplified improper fraction) = 4 3/4 (mixed number)
Problem 18: 33/10 - 17/10
- Subtract numerators: 33 - 17 = 16
- Keep denominator: 10
- Result: 16/10 = 8/5 (simplified improper fraction) = 1 3/5 (mixed number)
Final Answer:
1) 9/3 = 3
2) 10/12 = 5/6
3) 12/11 = 1 1/11
4) 20/9 = 2 2/9
5) 22/8 = 11/4 = 2 3/4
6) 8/10 = 4/5
7) 21/15 = 7/5 = 1 2/5
8) 30/12 = 5/2 = 2 1/2
9) 12/20 = 3/5
10) 29/13 = 2 3/13
11) 60/9 = 20/3 = 6 2/3
12) 13/13 = 1
13) 36/14 = 18/7 = 2 4/7
14) 14/6 = 7/3 = 2 1/3
15) 16/7 = 2 2/7
16) 42/4 = 21/2 = 10 1/2
17) 38/8 = 19/4 = 4 3/4
18) 16/10 = 8/5 = 1 3/5
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting fractions and mixed numbers worksheet.