I'll solve each improper fraction conversion step by step, then provide the final answers.
To convert an improper fraction to a mixed number:
1. Divide the numerator by the denominator
2. The quotient becomes the whole number part
3. The remainder becomes the new numerator (over the same denominator)
Let me work through each one:
1. 16/5: 16 ÷ 5 = 3 remainder 1 →
3 1/5
2. 22/4: 22 ÷ 4 = 5 remainder 2 →
5 2/4 =
5 1/2 (simplified)
3. 33/10: 33 ÷ 10 = 3 remainder 3 →
3 3/10
4. 12/5: 12 ÷ 5 = 2 remainder 2 →
2 2/5
5. 36/5: 36 ÷ 5 = 7 remainder 1 →
7 1/5
6. 27/8: 27 ÷ 8 = 3 remainder 3 →
3 3/8
7. 29/9: 29 ÷ 9 = 3 remainder 2 →
3 2/9
8. 30/7: 30 ÷ 7 = 4 remainder 2 →
4 2/7
9. 52/12: 52 ÷ 12 = 4 remainder 4 →
4 4/12 =
4 1/3 (simplified)
10. 83/9: 83 ÷ 9 = 9 remainder 2 →
9 2/9
11. 44/7: 44 ÷ 7 = 6 remainder 2 →
6 2/7
12. 65/8: 65 ÷ 8 = 8 remainder 1 →
8 1/8
13. 25/12: 25 ÷ 12 = 2 remainder 1 →
2 1/12
14. 46/15: 46 ÷ 15 = 3 remainder 1 →
3 1/15
15. 112/10: 112 ÷ 10 = 11 remainder 2 →
11 2/10 =
11 1/5 (simplified)
16. 40/9: 40 9 = 4 remainder 4 →
4 4/9
17. 37/6: 37 ÷ 6 = 6 remainder 1 →
6 1/6
18. 49/8: 49 ÷ 8 = 6 remainder 1 →
6 1/8
Final Answer:
1. 3 1/5
2. 5 1/2
3. 3 3/10
4. 2 2/5
5. 7 1/5
6. 3 3/8
7. 3 2/9
8. 4 2/7
9. 4 1/3
10. 9 2/9
11. 6 2/7
12. 8 1/8
13. 2 1/12
14. 3 1/15
15. 11 1/5
16. 4 4/9
17. 6 1/6
18. 6 1/8
Parent Tip: Review the logic above to help your child master the concept of mixed fraction worksheets.