Improper Fraction to Mixed Number - Worksheet Digital - Free Printable

Let's solve each problem by converting the improper fractions into mixed numbers.

🔁 How to Convert an Improper Fraction to a Mixed Number:

1. Divide the numerator by the denominator.
2. The quotient becomes the whole number.
3. The remainder becomes the new numerator.
4. The denominator stays the same.

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Let’s go through each one step by step:

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1) $ \frac{13}{8} $

- $ 13 \div 8 = 1 $ remainder $ 5 $
- So, $ \frac{13}{8} = 1 \frac{5}{8} $

✔ Answer: $ 1 \frac{5}{8} $

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2) $ \frac{29}{5} $

- $ 29 \div 5 = 5 $ remainder $ 4 $
- So, $ \frac{29}{5} = 5 \frac{4}{5} $

✔ Answer: $ 5 \frac{4}{5} $

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3) $ \frac{11}{7} $

- $ 11 \div 7 = 1 $ remainder $ 4 $
- So, $ \frac{11}{7} = 1 \frac{4}{7} $

✔ Answer: $ 1 \frac{4}{7} $

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4) $ \frac{36}{7} $

- $ 36 \div 7 = 5 $ remainder $ 1 $
- So, $ \frac{36}{7} = 5 \frac{1}{7} $

✔ Answer: $ 5 \frac{1}{7} $

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5) $ \frac{66}{8} $

- $ 66 \div 8 = 8 $ remainder $ 2 $
- So, $ \frac{66}{8} = 8 \frac{2}{8} $
- Simplify: $ \frac{2}{8} = \frac{1}{4} $
- So, $ 8 \frac{1}{4} $

✔ Answer: $ 8 \frac{1}{4} $

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6) $ \frac{49}{8} $

- $ 49 \div 8 = 6 $ remainder $ 1 $
- So, $ \frac{49}{8} = 6 \frac{1}{8} $

✔ Answer: $ 6 \frac{1}{8} $

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7) $ \frac{53}{10} $

- $ 53 \div 10 = 5 $ remainder $ 3 $
- So, $ \frac{53}{10} = 5 \frac{3}{10} $

✔ Answer: $ 5 \frac{3}{10} $

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8) $ \frac{37}{6} $

- $ 37 \div 6 = 6 $ remainder $ 1 $
- So, $ \frac{37}{6} = 6 \frac{1}{6} $

✔ Answer: $ 6 \frac{1}{6} $

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9) $ \frac{86}{9} $

- $ 86 \div 9 = 9 $ remainder $ 5 $
- So, $ \frac{86}{9} = 9 \frac{5}{9} $

✔ Answer: $ 9 \frac{5}{9} $

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10) $ \frac{98}{12} $

- $ 98 \div 12 = 8 $ remainder $ 2 $
- So, $ \frac{98}{12} = 8 \frac{2}{12} $
- Simplify: $ \frac{2}{12} = \frac{1}{6} $
- So, $ 8 \frac{1}{6} $

✔ Answer: $ 8 \frac{1}{6} $

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11) $ \frac{72}{10} $

- $ 72 \div 10 = 7 $ remainder $ 2 $
- So, $ \frac{72}{10} = 7 \frac{2}{10} $
- Simplify: $ \frac{2}{10} = \frac{1}{5} $
- So, $ 7 \frac{1}{5} $

✔ Answer: $ 7 \frac{1}{5} $

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12) $ \frac{38}{6} $

- $ 38 \div 6 = 6 $ remainder $ 2 $
- So, $ \frac{38}{6} = 6 \frac{2}{6} $
- Simplify: $ \frac{2}{6} = \frac{1}{3} $
- So, $ 6 \frac{1}{3} $

✔ Answer: $ 6 \frac{1}{3} $

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13) $ \frac{84}{11} $

- $ 84 \div 11 = 7 $ remainder $ 7 $
- So, $ \frac{84}{11} = 7 \frac{7}{11} $

✔ Answer: $ 7 \frac{7}{11} $

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14) $ \frac{40}{9} $

- $ 40 \div 9 = 4 $ remainder $ 4 $
- So, $ \frac{40}{9} = 4 \frac{4}{9} $

✔ Answer: $ 4 \frac{4}{9} $

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15) $ \frac{52}{6} $

- $ 52 \div 6 = 8 $ remainder $ 4 $
- So, $ \frac{52}{6} = 8 \frac{4}{6} $
- Simplify: $ \frac{4}{6} = \frac{2}{3} $
- So, $ 8 \frac{2}{3} $

✔ Answer: $ 8 \frac{2}{3} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) $ \frac{13}{8} $ | $ 1 \frac{5}{8} $ |
| 2) $ \frac{29}{5} $ | $ 5 \frac{4}{5} $ |
| 3) $ \frac{11}{7} $ | $ 1 \frac{4}{7} $ |
| 4) $ \frac{36}{7} $ | $ 5 \frac{1}{7} $ |
| 5) $ \frac{66}{8} $ | $ 8 \frac{1}{4} $ |
| 6) $ \frac{49}{8} $ | $ 6 \frac{1}{8} $ |
| 7) $ \frac{53}{10} $ | $ 5 \frac{3}{10} $ |
| 8) $ \frac{37}{6} $ | $ 6 \frac{1}{6} $ |
| 9) $ \frac{86}{9} $ | $ 9 \frac{5}{9} $ |
| 10) $ \frac{98}{12} $ | $ 8 \frac{1}{6} $ |
| 11) $ \frac{72}{10} $ | $ 7 \frac{1}{5} $ |
| 12) $ \frac{38}{6} $ | $ 6 \frac{1}{3} $ |
| 13) $ \frac{84}{11} $ | $ 7 \frac{7}{11} $ |
| 14) $ \frac{40}{9} $ | $ 4 \frac{4}{9} $ |
| 15) $ \frac{52}{6} $ | $ 8 \frac{2}{3} $ |

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