Let’s solve each problem step by step.
We’re converting
improper fractions to
mixed numbers.
An improper fraction is when the top number (numerator) is bigger than or equal to the bottom number (denominator).
To convert it to a mixed number, we:
1. Divide the numerator by the denominator.
2. The whole number part of the answer becomes the whole number in the mixed number.
3. The remainder becomes the new numerator.
4. The denominator stays the same.
Let’s go one by one.
---
1. 25 ÷ 6
6 × 4 = 24 → remainder 1
→ Mixed number:
4 1/6
2. 27 ÷ 5
5 × 5 = 25 → remainder 2
→
5 2/5
3. 25 ÷ 8
8 × 3 = 24 → remainder 1
→
3 1/8
4. 38 ÷ 6
6 × 6 = 36 → remainder 2
→ But 2/6 can be simplified! Divide top and bottom by 2 → 1/3
→
6 1/3
5. 19 ÷ 3
3 × 6 = 18 → remainder 1
→
6 1/3
6. 36 ÷ 11
11 × 3 = 33 → remainder 3
→
3 3/11
7. 49 ÷ 8
8 × 6 = 48 → remainder 1
→
6 1/8
8. 62 ÷ 5
5 × 12 = 60 → remainder 2
→
12 2/5
9. 43 ÷ 7
7 × 6 = 42 → remainder 1
→
6 1/7
10. 29 ÷ 9
9 × 3 = 27 → remainder 2
→
3 2/9
11. 67 ÷ 6
6 × 11 = 66 → remainder 1
→
11 1/6
12. 35 ÷ 8
8 × 4 = 32 → remainder 3
→
4 3/8
13. 79 ÷ 11
11 × 7 = 77 → remainder 2
→
7 2/11
14. 77 ÷ 12
12 × 6 = 72 → remainder 5
→
6 5/12
15. 109 ÷ 9
9 × 12 = 108 → remainder 1
→
12 1/9
16. 57 ÷ 9
9 × 6 = 54 → remainder 3
→ 3/9 simplifies to 1/3
→
6 1/3
17. 40 ÷ 6
6 × 6 = 36 → remainder 4
→ 4/6 simplifies to 2/3
→
6 2/3
18. 52 ÷ 7
7 × 7 = 49 → remainder 3
→
7 3/7
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Final Answer:
1. 4 1/6
2. 5 2/5
3. 3 1/8
4. 6 1/3
5. 6 1/3
6. 3 3/11
7. 6 1/8
8. 12 2/5
9. 6 1/7
10. 3 2/9
11. 11 1/6
12. 4 3/8
13. 7 2/11
14. 6 5/12
15. 12 1/9
16. 6 1/3
17. 6 2/3
18. 7 3/7
Parent Tip: Review the logic above to help your child master the concept of mixed numbers into improper fractions worksheet.
