Improper Fraction Worksheets - Free Printable

Let's solve each problem by converting improper fractions to mixed numbers. The process involves:

1. Divide the numerator by the denominator to get the whole number part.
2. The remainder becomes the new numerator.
3. The denominator stays the same.
4. Simplify the fractional part if needed.

We’ll go through each one step-by-step.

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1) $ \frac{15}{4} $

- $ 15 \div 4 = 3 $ remainder $ 3 $
- So, $ \frac{15}{4} = 3 \frac{3}{4} $

✔ Answer: $ 3 \frac{3}{4} $

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2) $ \frac{17}{6} $

- $ 17 \div 6 = 2 $ remainder $ 5 $
- $ \frac{17}{6} = 2 \frac{5}{6} $

✔ Answer: $ 2 \frac{5}{6} $

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3) $ \frac{13}{2} $

- $ 13 \div 2 = 6 $ remainder $ 1 $
- $ \frac{13}{2} = 6 \frac{1}{2} $

✔ Answer: $ 6 \frac{1}{2} $

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4) $ \frac{19}{5} $

- $ 19 \div 5 = 3 $ remainder $ 4 $
- $ \frac{19}{5} = 3 \frac{4}{5} $

✔ Answer: $ 3 \frac{4}{5} $

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5) $ \frac{24}{6} $

- $ 24 \div 6 = 4 $ remainder $ 0 $
- $ \frac{24}{6} = 4 $

✔ Answer: $ 4 $

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6) $ \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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7) $ \frac{33}{7} $

- $ 33 \div 7 = 4 $ remainder $ 5 $
- $ \frac{33}{7} = 4 \frac{5}{7} $

✔ Answer: $ 4 \frac{5}{7} $

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8) $ \frac{28}{8} $

- $ 28 \div 8 = 3 $ remainder $ 4 $
- $ \frac{28}{8} = 3 \frac{4}{8} $
- Simplify $ \frac{4}{8} = \frac{1}{2} $
- So, $ 3 \frac{1}{2} $

✔ Answer: $ 3 \frac{1}{2} $

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9) $ \frac{26}{4} $

- $ 26 \div 4 = 6 $ remainder $ 2 $
- $ \frac{26}{4} = 6 \frac{2}{4} $
- Simplify $ \frac{2}{4} = \frac{1}{2} $
- So, $ 6 \frac{1}{2} $

✔ Answer: $ 6 \frac{1}{2} $

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10) $ \frac{34}{9} $

- $ 34 \div 9 = 3 $ remainder $ 7 $
- $ \frac{34}{9} = 3 \frac{7}{9} $

✔ Answer: $ 3 \frac{7}{9} $

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11) $ \frac{39}{10} $

- $ 39 \div 10 = 3 $ remainder $ 9 $
- $ \frac{39}{10} = 3 \frac{9}{10} $

✔ Answer: $ 3 \frac{9}{10} $

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12) $ \frac{38}{3} $

- $ 38 \div 3 = 12 $ remainder $ 2 $
- $ \frac{38}{3} = 12 \frac{2}{3} $

✔ Answer: $ 12 \frac{2}{3} $

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13) $ \frac{44}{8} $

- $ 44 \div 8 = 5 $ remainder $ 4 $
- $ \frac{44}{8} = 5 \frac{4}{8} $
- Simplify $ \frac{4}{8} = \frac{1}{2} $
- So, $ 5 \frac{1}{2} $

✔ Answer: $ 5 \frac{1}{2} $

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14) $ \frac{50}{6} $

- $ 50 \div 6 = 8 $ remainder $ 2 $
- $ \frac{50}{6} = 8 \frac{2}{6} $
- Simplify $ \frac{2}{6} = \frac{1}{3} $
- So, $ 8 \frac{1}{3} $

✔ Answer: $ 8 \frac{1}{3} $

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15) $ \frac{51}{4} $

- $ 51 \div 4 = 12 $ remainder $ 3 $
- $ \frac{51}{4} = 12 \frac{3}{4} $

✔ Answer: $ 12 \frac{3}{4} $

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16) $ \frac{49}{7} $

- $ 49 \div 7 = 7 $ remainder $ 0 $
- $ \frac{49}{7} = 7 $

✔ Answer: $ 7 $

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17) $ \frac{53}{6} $

- $ 53 \div 6 = 8 $ remainder $ 5 $
- $ \frac{53}{6} = 8 \frac{5}{6} $

✔ Answer: $ 8 \frac{5}{6} $

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18) $ \frac{62}{10} $

- $ 62 \div 10 = 6 $ remainder $ 2 $
- $ \frac{62}{10} = 6 \frac{2}{10} $
- Simplify $ \frac{2}{10} = \frac{1}{5} $
- So, $ 6 \frac{1}{5} $

✔ Answer: $ 6 \frac{1}{5} $

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19) $ \frac{56}{9} $

- $ 56 \div 9 = 6 $ remainder $ 2 $
- $ \frac{56}{9} = 6 \frac{2}{9} $

✔ Answer: $ 6 \frac{2}{9} $

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20) $ \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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21) $ \frac{58}{12} $

- $ 58 \div 12 = 4 $ remainder $ 10 $
- $ \frac{58}{12} = 4 \frac{10}{12} $
- Simplify $ \frac{10}{12} = \frac{5}{6} $
- So, $ 4 \frac{5}{6} $

✔ Answer: $ 4 \frac{5}{6} $

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22) $ \frac{67}{9} $

- $ 67 \div 9 = 7 $ remainder $ 4 $
- $ \frac{67}{9} = 7 \frac{4}{9} $

✔ Answer: $ 7 \frac{4}{9} $

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23) $ \frac{73}{8} $

- $ 73 \div 8 = 9 $ remainder $ 1 $
- $ \frac{73}{8} = 9 \frac{1}{8} $

✔ Answer: $ 9 \frac{1}{8} $

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24) $ \frac{56}{4} $

- $ 56 \div 4 = 14 $ remainder $ 0 $
- $ \frac{56}{4} = 14 $

✔ Answer: $ 14 $

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25) $ \frac{84}{3} $

- $ 84 \div 3 = 28 $ remainder $ 0 $
- $ \frac{84}{3} = 28 $

✔ Answer: $ 28 $

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26) $ \frac{78}{9} $

- $ 78 \div 9 = 8 $ remainder $ 6 $
- $ \frac{78}{9} = 8 \frac{6}{9} $
- Simplify $ \frac{6}{9} = \frac{2}{3} $
- So, $ 8 \frac{2}{3} $

✔ Answer: $ 8 \frac{2}{3} $

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27) $ \frac{76}{12} $

- $ 76 \div 12 = 6 $ remainder $ 4 $
- $ \frac{76}{12} = 6 \frac{4}{12} $
- Simplify $ \frac{4}{12} = \frac{1}{3} $
- So, $ 6 \frac{1}{3} $

✔ Answer: $ 6 \frac{1}{3} $

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28) $ \frac{87}{10} $

- $ 87 \div 10 = 8 $ remainder $ 7 $
- $ \frac{87}{10} = 8 \frac{7}{10} $

✔ Answer: $ 8 \frac{7}{10} $

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29) $ \frac{79}{5} $

- $ 79 \div 5 = 15 $ remainder $ 4 $
- $ \frac{79}{5} = 15 \frac{4}{5} $

✔ Answer: $ 15 \frac{4}{5} $

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30) $ \frac{93}{12} $

- $ 93 \div 12 = 7 $ remainder $ 9 $
- $ \frac{93}{12} = 7 \frac{9}{12} $
- Simplify $ \frac{9}{12} = \frac{3}{4} $
- So, $ 7 \frac{3}{4} $

✔ Answer: $ 7 \frac{3}{4} $

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31) $ \frac{87}{9} $

- $ 87 \div 9 = 9 $ remainder $ 6 $
- $ \frac{87}{9} = 9 \frac{6}{9} $
- Simplify $ \frac{6}{9} = \frac{2}{3} $
- So, $ 9 \frac{2}{3} $

✔ Answer: $ 9 \frac{2}{3} $

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32) $ \frac{98}{15} $

- $ 98 \div 15 = 6 $ remainder $ 8 $
- $ \frac{98}{15} = 6 \frac{8}{15} $

✔ Answer: $ 6 \frac{8}{15} $

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## ✔ Final Answers (All in Simplest Form):

| Problem | Answer |
|--------|--------|
| 1) $ \frac{15}{4} $ | $ 3 \frac{3}{4} $ |
| 2) $ \frac{17}{6} $ | $ 2 \frac{5}{6} $ |
| 3) $ \frac{13}{2} $ | $ 6 \frac{1}{2} $ |
| 4) $ \frac{19}{5} $ | $ 3 \frac{4}{5} $ |
| 5) $ \frac{24}{6} $ | $ 4 $ |
| 6) $ \frac{26}{5} $ | $ 5 \frac{1}{5} $ |
| 7) $ \frac{33}{7} $ | $ 4 \frac{5}{7} $ |
| 8) $ \frac{28}{8} $ | $ 3 \frac{1}{2} $ |
| 9) $ \frac{26}{4} $ | $ 6 \frac{1}{2} $ |
| 10) $ \frac{34}{9} $ | $ 3 \frac{7}{9} $ |
| 11) $ \frac{39}{10} $ | $ 3 \frac{9}{10} $ |
| 12) $ \frac{38}{3} $ | $ 12 \frac{2}{3} $ |
| 13) $ \frac{44}{8} $ | $ 5 \frac{1}{2} $ |
| 14) $ \frac{50}{6} $ | $ 8 \frac{1}{3} $ |
| 15) $ \frac{51}{4} $ | $ 12 \frac{3}{4} $ |
| 16) $ \frac{49}{7} $ | $ 7 $ |
| 17) $ \frac{53}{6} $ | $ 8 \frac{5}{6} $ |
| 18) $ \frac{62}{10} $ | $ 6 \frac{1}{5} $ |
| 19) $ \frac{56}{9} $ | $ 6 \frac{2}{9} $ |
| 20) $ \frac{67}{11} $ | $ 6 \frac{1}{11} $ |
| 21) $ \frac{58}{12} $ | $ 4 \frac{5}{6} $ |
| 22) $ \frac{67}{9} $ | $ 7 \frac{4}{9} $ |
| 23) $ \frac{73}{8} $ | $ 9 \frac{1}{8} $ |
| 24) $ \frac{56}{4} $ | $ 14 $ |
| 25) $ \frac{84}{3} $ | $ 28 $ |
| 26) $ \frac{78}{9} $ | $ 8 \frac{2}{3} $ |
| 27) $ \frac{76}{12} $ | $ 6 \frac{1}{3} $ |
| 28) $ \frac{87}{10} $ | $ 8 \frac{7}{10} $ |
| 29) $ \frac{79}{5} $ | $ 15 \frac{4}{5} $ |
| 30) $ \frac{93}{12} $ | $ 7 \frac{3}{4} $ |
| 31) $ \frac{87}{9} $ | $ 9 \frac{2}{3} $ |
| 32) $ \frac{98}{15} $ | $ 6 \frac{8}{15} $ |

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