Printable math worksheet for practicing conversion of improper fractions to mixed numbers.

Let’s solve each part step by step.

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Part 1: Change improper fractions to mixed numbers

We divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the new numerator over the same denominator.

- 10/3:
10 ÷ 3 = 3 with remainder 1 → 3 1/3

- 29/4:
29 ÷ 4 = 7 with remainder 1 → 7 1/4

- 56/9:
56 ÷ 9 = 6 with remainder 2 → 6 2/9

- 21/8:
21 ÷ 8 = 2 with remainder 5 → 2 5/8

- 11/2:
11 ÷ 2 = 5 with remainder 1 → 5 1/2

- 19/3:
19 ÷ 3 = 6 with remainder 1 → 6 1/3

- 22/5:
22 ÷ 5 = 4 with remainder 2 → 4 2/5

- 26/4:
26 ÷ 4 = 6 with remainder 2 → simplify 2/4 to 1/2 → 6 1/2

- 15/2:
15 ÷ 2 = 7 with remainder 1 → 7 1/2

- 4/3:
4 ÷ 3 = 1 with remainder 1 → 1 1/3

- 23/5:
23 ÷ 5 = 4 with remainder 3 → 4 3/5

- 5/2:
5 ÷ 2 = 2 with remainder 1 → 2 1/2

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Part 2: Change mixed numbers to improper fractions

Multiply the whole number by the denominator, add the numerator, and keep the same denominator.

- 1 1/2: (1×2 + 1)/2 = 3/2

- 4 2/3: (4×3 + 2)/3 = 14/3

- 12 1/3: (12×3 + 1)/3 = 37/3

- 1 3/4: (1×4 + 3)/4 = 7/4

- 6 1/2: (6×2 + 1)/2 = 13/2

- 1 5/6: (1×6 + 5)/6 = 11/6

- 1 1/4: (1×4 + 1)/4 = 5/4

- 1 2/3: (1×3 + 2)/3 = 5/3

- 2 1/2: (2×2 + 1)/2 = 5/2

- 1 2/5: (1×5 + 2)/5 = 7/5

- 3 1/2: (3×2 + 1)/2 = 7/2

- 1 1/10: (1×10 + 1)/10 = 11/10

- 5 2/3: (5×3 + 2)/3 = 17/3

- 4 1/2: (4×2 + 1)/2 = 9/2

- 4 1/3: (4×3 + 1)/3 = 13/3

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Final Answer:

Improper to Mixed:
10/3 = 3 1/3
29/4 = 7 1/4
56/9 = 6 2/9
21/8 = 2 5/8
11/2 = 5 1/2
19/3 = 6 1/3
22/5 = 4 2/5
26/4 = 6 1/2
15/2 = 7 1/2
4/3 = 1 1/3
23/5 = 4 3/5
5/2 = 2 1/2

Mixed to Improper:
1 1/2 = 3/2
4 2/3 = 14/3
12 1/3 = 37/3
1 3/4 = 7/4
6 1/2 = 13/2
1 5/6 = 11/6
1 1/4 = 5/4
1 2/3 = 5/3
2 1/2 = 5/2
1 2/5 = 7/5
3 1/2 = 7/2
1 1/10 = 11/10
5 2/3 = 17/3
4 1/2 = 9/2
4 1/3 = 13/3