Let's solve the problem step by step.
We are asked to
convert improper fractions to mixed numbers. An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). To convert it to a mixed number, we divide the numerator by the denominator:
- The
quotient becomes the whole number part.
- The
remainder becomes the numerator of the fractional part.
- The
denominator stays the same.
---
Step-by-step conversion for each:
1.
15/7
15 ÷ 7 = 2 R1 →
2 1/7
2.
16/9
16 ÷ 9 = 1 R7 →
1 7/9
3.
23/5
23 ÷ 5 = 4 R3 →
4 3/5
4.
34/9
34 ÷ 9 = 3 R7 →
3 7/9
5.
21/11
21 ÷ 11 = 1 R10 →
1 10/11
6.
51/16
51 ÷ 16 = 3 R3 →
3 3/16
7.
40/9
40 ÷ 9 = 4 R4 →
4 4/9
8.
34/19
34 ÷ 19 = 1 R15 →
1 15/19
9.
33/12
33 ÷ 12 = 2 R9 →
2 9/12 → Simplify: 9/12 = 3/4 →
2 3/4
10.
32/7
32 ÷ 7 = 4 R4 →
4 4/7
11.
41/17
41 ÷ 17 = 2 R7 →
2 7/17
12.
38/17
38 ÷ 17 = 2 R4 →
2 4/17
13.
41/13
41 ÷ 13 = 3 R2 →
3 2/13
14.
39/16
39 ÷ 16 = 2 R7 →
2 7/16
15.
41/19
41 ÷ 19 = 2 R3 →
2 3/19
16.
56/17
56 ÷ 17 = 3 R5 →
3 5/17
17.
9/4
9 ÷ 4 = 2 R1 →
2 1/4
18.
17/8
17 ÷ 8 = 2 R1 →
2 1/8
19.
61/17
61 ÷ 17 = 3 R10 →
3 10/17
20.
33/17
33 ÷ 17 = 1 R16 →
1 16/17
21.
43/21
43 ÷ 21 = 2 R1 →
2 1/21
22.
45/17
45 ÷ 17 = 2 R11 →
2 11/17
23.
27/13
27 ÷ 13 = 2 R1 →
2 1/13
24.
56/19
56 ÷ 19 = 2 R18 →
2 18/19
25.
25/3
25 ÷ 3 = 8 R1 →
8 1/3
26.
44/19
44 ÷ 19 = 2 R6 →
2 6/19
27.
61/15
61 ÷ 15 = 4 R1 →
4 1/15
28.
32/11
32 ÷ 11 = 2 R10 →
2 10/11
29.
25/12
25 ÷ 12 = 2 R1 →
2 1/12
30.
45/11
45 ÷ 11 = 4 R1 →
4 1/11
31.
21/16
21 ÷ 16 = 1 R5 →
1 5/16
32.
51/12
51 ÷ 12 = 4 R3 →
4 3/12 → Simplify: 3/12 = 1/4 →
4 1/4
33.
41/17
41 ÷ 17 = 2 R7 →
2 7/17
34.
55/18
55 ÷ 18 = 3 R1 →
3 1/18
35.
32/11
32 ÷ 11 = 2 R10 →
2 10/11
36.
31/12
31 ÷ 12 = 2 R7 →
2 7/12
37.
32/17
32 ÷ 17 = 1 R15 →
1 15/17
38.
51/16
51 ÷ 16 = 3 R3 →
3 3/16
39.
41/13
41 ÷ 13 = 3 R2 →
3 2/13
40.
54/19
54 ÷ 19 = 2 R16 →
2 16/19
---
Final Answers (in order):
1. 2 1/7
2. 1 7/9
3. 4 3/5
4. 3 7/9
5. 1 10/11
6. 3 3/16
7. 4 4/9
8. 1 15/19
9. 2 3/4
10. 4 4/7
11. 2 7/17
12. 2 4/17
13. 3 2/13
14. 2 7/16
15. 2 3/19
16. 3 5/17
17. 2 1/4
18. 2 1/8
19. 3 10/17
20. 1 16/17
21. 2 1/21
22. 2 11/17
23. 2 1/13
24. 2 18/19
25. 8 1/3
26. 2 6/19
27. 4 1/15
28. 2 10/11
29. 2 1/12
30. 4 1/11
31. 1 5/16
32. 4 1/4
33. 2 7/17
34. 3 1/18
35. 2 10/11
36. 2 7/12
37. 1 15/17
38. 3 3/16
39. 3 2/13
40. 2 16/19
✔ All conversions completed and simplified where needed.
Let me know if you'd like this in a printable format or with explanations for specific ones!
Parent Tip: Review the logic above to help your child master the concept of change mixed number to improper fraction worksheet.
