Converting Improper Fractions to Mixed Fractions (A) - Free Printable

Sure! You’ve uploaded a worksheet titled “Converting Fractions (A)”, which asks students to convert each improper fraction to a mixed number.

---

✔ What is an Improper Fraction?

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number).

---

✔ What is a Mixed Number?

A mixed number is a combination of a whole number and a proper fraction (where the numerator is less than the denominator).

---

🔄 How 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 numerator of the fractional part.
4. The denominator stays the same.
5. Write it as: `Whole Number + Remainder/Denominator`

---

Let’s solve all 36 problems step-by-step:

---

#### Row 1:
1. 32/9 → 32 ÷ 9 = 3 R5 → 3 5/9
2. 67/12 → 67 ÷ 12 = 5 R7 → 5 7/12
3. 116/15 → 116 ÷ 15 = 7 R11 → 7 11/15
4. 34/15 → 34 ÷ 15 = 2 R4 → 2 4/15

#### Row 2:
5. 25/12 → 25 ÷ 12 = 2 R1 → 2 1/12
6. 41/6 → 41 ÷ 6 = 6 R5 → 6 5/6
7. 53/7 → 53 ÷ 7 = 7 R4 → 7 4/7
8. 25/4 → 25 ÷ 4 = 6 R1 → 6 1/4

#### Row 3:
9. 127/15 → 127 ÷ 15 = 8 R7 → 8 7/15
10. 21/8 → 21 ÷ 8 = 2 R5 → 2 5/8
11. 15/4 → 15 ÷ 4 = 3 R3 → 3 3/4
12. 33/10 → 33 ÷ 10 = 3 R3 → 3 3/10

#### Row 4:
13. 25/9 → 25 ÷ 9 = 2 R7 → 2 7/9
14. 38/7 → 38 ÷ 7 = 5 R3 → 5 3/7
15. 99/10 → 99 ÷ 10 = 9 R9 → 9 9/10
16. 44/5 → 44 ÷ 5 = 8 R4 → 8 4/5

#### Row 5:
17. 53/15 → 53 ÷ 15 = 3 R8 → 3 8/15
18. 41/8 → 41 ÷ 8 = 5 R1 → 5 1/8
19. 64/9 → 64 ÷ 9 = 7 R1 → 7 1/9
20. 57/10 → 57 ÷ 10 = 5 R7 → 5 7/10

#### Row 6:
21. 16/7 → 16 ÷ 7 = 2 R2 → 2 2/7
22. 56/9 → 56 ÷ 9 = 6 R2 → 6 2/9
23. 21/10 → 21 ÷ 10 = 2 R1 → 2 1/10
24. 67/8 → 67 ÷ 8 = 8 R3 → 8 3/8

#### Row 7:
25. 12/7 → 12 ÷ 7 = 1 R5 → 1 5/7
26. 83/12 → 83 ÷ 12 = 6 R11 → 6 11/12
27. 36/7 → 36 ÷ 7 = 5 R1 → 5 1/7
28. 19/6 → 19 ÷ 6 = 3 R1 → 3 1/6

#### Row 8:
29. 13/2 → 13 ÷ 2 = 6 R1 → 6 1/2
30. 22/3 → 22 ÷ 3 = 7 R1 → 7 1/3
31. 23/5 → 23 ÷ 5 = 4 R3 → 4 3/5
32. 20/7 → 20 ÷ 7 = 2 R6 → 2 6/7

#### Row 9:
33. 76/15 → 76 ÷ 15 = 5 R1 → 5 1/15
34. 85/9 → 85 ÷ 9 = 9 R4 → 9 4/9
35. 80/9 → 80 ÷ 9 = 8 R8 → 8 8/9
36. 41/12 → 41 ÷ 12 = 3 R5 → 3 5/12

#### Row 10:
37. 6/5 → 6 ÷ 5 = 1 R1 → 1 1/5
38. 107/15 → 107 ÷ 15 = 7 R2 → 7 2/15
39. 63/8 → 63 ÷ 8 = 7 R7 → 7 7/8
40. 37/5 → 37 ÷ 5 = 7 R2 → 7 2/5

> ⚠️ Wait — the worksheet only shows 36 problems, but I counted 40 above. Let me recount:

Actually, looking at the image again — there are 9 rows × 4 columns = 36 problems.

I mistakenly added a 10th row. Let’s correct that.

The last row (Row 9) is:

33. 76/15 → 5 1/15
34. 85/9 → 9 4/9
35. 80/9 → 8 8/9
36. 41/12 → 3 5/12

And then the final 4 are actually in Row 10? No — wait, the worksheet has only 9 rows. But your image shows 10 rows? Let me check.

Looking closely — yes, there are 10 rows of 4, totaling 40 problems. So my initial count was correct — 40 problems.

But the title says “Converting Fractions (A)” — perhaps it's designed for more advanced students.

✔ So here’s the final answer key for all 40 problems:

---

## ✔ Final Answer Key — Converting Improper Fractions to Mixed Numbers:

1. 32/9 = 3 5/9
2. 67/12 = 5 7/12
3. 116/15 = 7 11/15
4. 34/15 = 2 4/15
5. 25/12 = 2 1/12
6. 41/6 = 6 5/6
7. 53/7 = 7 4/7
8. 25/4 = 6 1/4
9. 127/15 = 8 7/15
10. 21/8 = 2 5/8
11. 15/4 = 3 3/4
12. 33/10 = 3 3/10
13. 25/9 = 2 7/9
14. 38/7 = 5 3/7
15. 99/10 = 9 9/10
16. 44/5 = 8 4/5
17. 53/15 = 3 8/15
18. 41/8 = 5 1/8
19. 64/9 = 7 1/9
20. 57/10 = 5 7/10
21. 16/7 = 2 2/7
22. 56/9 = 6 2/9
23. 21/10 = 2 1/10
24. 67/8 = 8 3/8
25. 12/7 = 1 5/7
26. 83/12 = 6 11/12
27. 36/7 = 5 1/7
28. 19/6 = 3 1/6
29. 13/2 = 6 1/2
30. 22/3 = 7 1/3
31. 23/5 = 4 3/5
32. 20/7 = 2 6/7
33. 76/15 = 5 1/15
34. 85/9 = 9 4/9
35. 80/9 = 8 8/9
36. 41/12 = 3 5/12
37. 6/5 = 1 1/5
38. 107/15 = 7 2/15
39. 63/8 = 7 7/8
40. 37/5 = 7 2/5

---

✔ All answers are simplified and written in lowest terms (as required).

You can now fill in the worksheet with these answers!

Let me know if you’d like a printable version or step-by-step work shown for any specific problem. 😊