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 part.
3. The remainder becomes the numerator of the fractional part.
4. The denominator stays the same.

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Let’s go through each one:

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1) $ \frac{7}{5} $

- $ 7 \div 5 = 1 $ remainder $ 2 $
- So, $ \frac{7}{5} = 1 \frac{2}{5} $

✔ Answer: $ 1 \frac{2}{5} $

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2) $ \frac{10}{3} $

- $ 10 \div 3 = 3 $ remainder $ 1 $
- $ \frac{10}{3} = 3 \frac{1}{3} $

✔ Answer: $ 3 \frac{1}{3} $

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3) $ \frac{67}{11} $

- $ 67 \div 11 = 6 $ remainder $ 1 $
- $ \frac{67}{11} = 6 \frac{1}{11} $

✔ Answer: $ 6 \frac{1}{11} $

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4) $ \frac{29}{6} $

- $ 29 \div 6 = 4 $ remainder $ 5 $
- $ \frac{29}{6} = 4 \frac{5}{6} $

✔ Answer: $ 4 \frac{5}{6} $

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5) $ \frac{55}{12} $

- $ 55 \div 12 = 4 $ remainder $ 7 $
- $ \frac{55}{12} = 4 \frac{7}{12} $

✔ Answer: $ 4 \frac{7}{12} $

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6) $ \frac{13}{3} $

- $ 13 \div 3 = 4 $ remainder $ 1 $
- $ \frac{13}{3} = 4 \frac{1}{3} $

✔ Answer: $ 4 \frac{1}{3} $

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7) $ \frac{10}{9} $

- $ 10 \div 9 = 1 $ remainder $ 1 $
- $ \frac{10}{9} = 1 \frac{1}{9} $

✔ Answer: $ 1 \frac{1}{9} $

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8) $ \frac{19}{8} $

- $ 19 \div 8 = 2 $ remainder $ 3 $
- $ \frac{19}{8} = 2 \frac{3}{8} $

✔ Answer: $ 2 \frac{3}{8} $

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9) $ \frac{35}{8} $

- $ 35 \div 8 = 4 $ remainder $ 3 $
- $ \frac{35}{8} = 4 \frac{3}{8} $

✔ Answer: $ 4 \frac{3}{8} $

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10) $ \frac{65}{12} $

- $ 65 \div 12 = 5 $ remainder $ 5 $
- $ \frac{65}{12} = 5 \frac{5}{12} $

✔ Answer: $ 5 \frac{5}{12} $

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11) $ \frac{23}{5} $

- $ 23 \div 5 = 4 $ remainder $ 3 $
- $ \frac{23}{5} = 4 \frac{3}{5} $

✔ Answer: $ 4 \frac{3}{5} $

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12) $ \frac{47}{13} $

- $ 47 \div 13 = 3 $ remainder $ 8 $
- $ \frac{47}{13} = 3 \frac{8}{13} $

✔ Answer: $ 3 \frac{8}{13} $

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13) $ \frac{26}{5} $

- $ 26 \div 5 = 5 $ remainder $ 1 $
- $ \frac{26}{5} = 5 \frac{1}{5} $

✔ Answer: $ 5 \frac{1}{5} $

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

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

✔ Answer: $ 8 \frac{1}{6} $

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15) $ \frac{82}{9} $

- $ 82 \div 9 = 9 $ remainder $ 1 $
- $ \frac{82}{9} = 9 \frac{1}{9} $

✔ Answer: $ 9 \frac{1}{9} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) $ \frac{7}{5} $ | $ 1 \frac{2}{5} $ |
| 2) $ \frac{10}{3} $ | $ 3 \frac{1}{3} $ |
| 3) $ \frac{67}{11} $ | $ 6 \frac{1}{11} $ |
| 4) $ \frac{29}{6} $ | $ 4 \frac{5}{6} $ |
| 5) $ \frac{55}{12} $ | $ 4 \frac{7}{12} $ |
| 6) $ \frac{13}{3} $ | $ 4 \frac{1}{3} $ |
| 7) $ \frac{10}{9} $ | $ 1 \frac{1}{9} $ |
| 8) $ \frac{19}{8} $ | $ 2 \frac{3}{8} $ |
| 9) $ \frac{35}{8} $ | $ 4 \frac{3}{8} $ |
| 10) $ \frac{65}{12} $ | $ 5 \frac{5}{12} $ |
| 11) $ \frac{23}{5} $ | $ 4 \frac{3}{5} $ |
| 12) $ \frac{47}{13} $ | $ 3 \frac{8}{13} $ |
| 13) $ \frac{26}{5} $ | $ 5 \frac{1}{5} $ |
| 14) $ \frac{49}{6} $ | $ 8 \frac{1}{6} $ |
| 15) $ \frac{82}{9} $ | $ 9 \frac{1}{9} $ |

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