Improper Fractions to Mixed Numbers Worksheets - 15 Worksheets Library - Free Printable

Let’s solve each improper fraction by turning it into a mixed number.
To do this, we divide the top number (numerator) by the bottom number (denominator).
The answer to the division is the whole number part.
The remainder becomes the new numerator, and the denominator stays the same.

We’ll go row by row:

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Row 1:

- 15 ÷ 7 = 2 with remainder 1 → 2 1/7
- 16 ÷ 9 = 1 with remainder 7 → 1 7/9
- 23 ÷ 5 = 4 with remainder 3 → 4 3/5
- 34 ÷ 9 = 3 with remainder 7 → 3 7/9
- 21 ÷ 11 = 1 with remainder 10 → 1 10/11

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Row 2:

- 51 ÷ 16 = 3 with remainder 3 → 3 3/16
- 40 ÷ 9 = 4 with remainder 4 → 4 4/9
- 34 ÷ 19 = 1 with remainder 15 → 1 15/19
- 33 ÷ 12 = 2 with remainder 9 → 2 9/12 → simplify 9/12 to 3/4 → 2 3/4
- 32 ÷ 7 = 4 with remainder 4 → 4 4/7

*(Note: For 33/12, we simplified the fraction part because 9 and 12 are both divisible by 3.)*

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Row 3:

- 41 ÷ 17 = 2 with remainder 7 → 2 7/17
- 38 ÷ 17 = 2 with remainder 4 → 2 4/17
- 41 ÷ 13 = 3 with remainder 2 → 3 2/13
- 39 ÷ 16 = 2 with remainder 7 → 2 7/16
- 41 ÷ 19 = 2 with remainder 3 → 2 3/19

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Row 4:

- 56 ÷ 17 = 3 with remainder 5 → 3 5/17
- 9 ÷ 4 = 2 with remainder 1 → 2 1/4
- 17 ÷ 8 = 2 with remainder 1 → 2 1/8
- 61 ÷ 17 = 3 with remainder 10 → 3 10/17
- 33 ÷ 17 = 1 with remainder 16 → 1 16/17

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Row 5:

- 43 ÷ 21 = 2 with remainder 1 → 2 1/21
- 45 ÷ 17 = 2 with remainder 11 → 2 11/17
- 27 ÷ 13 = 2 with remainder 1 → 2 1/13
- 56 ÷ 19 = 2 with remainder 18 → 2 18/19
- 25 ÷ 3 = 8 with remainder 1 → 8 1/3

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Row 6:

- 44 ÷ 19 = 2 with remainder 6 → 2 6/19
- 61 ÷ 15 = 4 with remainder 1 → 4 1/15
- 32 ÷ 11 = 2 with remainder 10 → 2 10/11
- 25 ÷ 12 = 2 with remainder 1 → 2 1/12
- 45 ÷ 11 = 4 with remainder 1 → 4 1/11

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Row 7:

- 21 ÷ 16 = 1 with remainder 5 → 1 5/16
- 51 ÷ 12 = 4 with remainder 3 → 4 3/12 → simplify 3/12 to 1/4 → 4 1/4
- 41 ÷ 17 = 2 with remainder 7 → 2 7/17
- 55 ÷ 18 = 3 with remainder 1 → 3 1/18
- 32 ÷ 11 = 2 with remainder 10 → 2 10/11

*(Again, 51/12 simplifies: 3÷3=1, 12÷3=4 → 1/4)*

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Row 8:

- 31 ÷ 12 = 2 with remainder 7 → 2 7/12
- 32 ÷ 17 = 1 with remainder 15 → 1 15/17
- 51 ÷ 16 = 3 with remainder 3 → 3 3/16
- 41 ÷ 13 = 3 with remainder 2 → 3 2/13
- 54 ÷ 19 = 2 with remainder 16 → 2 16/19

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✔ All answers checked for correct division and simplified fractions where needed.

Final Answer:
2 1/7, 1 7/9, 4 3/5, 3 7/9, 1 10/11,
3 3/16, 4 4/9, 1 15/19, 2 3/4, 4 4/7,
2 7/17, 2 4/17, 3 2/13, 2 7/16, 2 3/19,
3 5/17, 2 1/4, 2 1/8, 3 10/17, 1 16/17,
2 1/21, 2 11/17, 2 1/13, 2 18/19, 8 1/3,
2 6/19, 4 1/15, 2 10/11, 2 1/12, 4 1/11,
1 5/16, 4 1/4, 2 7/17, 3 1/18, 2 10/11,
2 7/12, 1 15/17, 3 3/16, 3 2/13, 2 16/19