5 Fun and Engaging Fractions Worksheets for Class 3 Students - Free Printable

Let's solve the worksheet step by step. The task is to convert mixed numbers to improper fractions.

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

A mixed number has the form:
$$
a \frac{b}{c}
$$
Where:
- $ a $ = whole number
- $ b $ = numerator of the fraction
- $ c $ = denominator

To convert it to an improper fraction:
1. Multiply the whole number $ a $ by the denominator $ c $
2. Add the numerator $ b $ to that product
3. Place the result over the original denominator $ c $

So:
$$
a \frac{b}{c} = \frac{(a \times c) + b}{c}
$$

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Now let's solve each problem:

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1. $ 5 \frac{1}{8} $

$$
= \frac{(5 \times 8) + 1}{8} = \frac{40 + 1}{8} = \frac{41}{8}
$$

✔ Answer: $ \frac{41}{8} $

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2. $ 7 \frac{2}{3} $

$$
= \frac{(7 \times 3) + 2}{3} = \frac{21 + 2}{3} = \frac{23}{3}
$$

✔ Answer: $ \frac{23}{3} $

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3. $ 2 \frac{1}{12} $

$$
= \frac{(2 \times 12) + 1}{12} = \frac{24 + 1}{12} = \frac{25}{12}
$$

✔ Answer: $ \frac{25}{12} $

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4. $ 8 \frac{4}{5} $

$$
= \frac{(8 \times 5) + 4}{5} = \frac{40 + 4}{5} = \frac{44}{5}
$$

✔ Answer: $ \frac{44}{5} $

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5. $ 4 \frac{3}{4} $

$$
= \frac{(4 \times 4) + 3}{4} = \frac{16 + 3}{4} = \frac{19}{4}
$$

✔ Answer: $ \frac{19}{4} $

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6. $ 3 \frac{1}{11} $

$$
= \frac{(3 \times 11) + 1}{11} = \frac{33 + 1}{11} = \frac{34}{11}
$$

✔ Answer: $ \frac{34}{11} $

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7. $ 6 \frac{4}{5} $

$$
= \frac{(6 \times 5) + 4}{5} = \frac{30 + 4}{5} = \frac{34}{5}
$$

✔ Answer: $ \frac{34}{5} $

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8. $ 10 \frac{7}{8} $

$$
= \frac{(10 \times 8) + 7}{8} = \frac{80 + 7}{8} = \frac{87}{8}
$$

✔ Answer: $ \frac{87}{8} $

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9. $ 2 \frac{9}{10} $

$$
= \frac{(2 \times 10) + 9}{10} = \frac{20 + 9}{10} = \frac{29}{10}
$$

✔ Answer: $ \frac{29}{10} $

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10. $ 6 \frac{3}{5} $

$$
= \frac{(6 \times 5) + 3}{5} = \frac{30 + 3}{5} = \frac{33}{5}
$$

✔ Answer: $ \frac{33}{5} $

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11. $ 3 \frac{4}{7} $

$$
= \frac{(3 \times 7) + 4}{7} = \frac{21 + 4}{7} = \frac{25}{7}
$$

✔ Answer: $ \frac{25}{7} $

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12. $ 9 \frac{6}{7} $

$$
= \frac{(9 \times 7) + 6}{7} = \frac{63 + 6}{7} = \frac{69}{7}
$$

✔ Answer: $ \frac{69}{7} $

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13. $ 8 \frac{2}{3} $

$$
= \frac{(8 \times 3) + 2}{3} = \frac{24 + 2}{3} = \frac{26}{3}
$$

✔ Answer: $ \frac{26}{3} $

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14. $ 11 \frac{1}{12} $

$$
= \frac{(11 \times 12) + 1}{12} = \frac{132 + 1}{12} = \frac{133}{12}
$$

✔ Answer: $ \frac{133}{12} $

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15. $ 12 \frac{5}{6} $

$$
= \frac{(12 \times 6) + 5}{6} = \frac{72 + 5}{6} = \frac{77}{6}
$$

✔ Answer: $ \frac{77}{6} $

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16. $ 4 \frac{1}{5} $

$$
= \frac{(4 \times 5) + 1}{5} = \frac{20 + 1}{5} = \frac{21}{5}
$$

✔ Answer: $ \frac{21}{5} $

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17. $ 9 \frac{1}{11} $

$$
= \frac{(9 \times 11) + 1}{11} = \frac{99 + 1}{11} = \frac{100}{11}
$$

✔ Answer: $ \frac{100}{11} $

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18. $ 7 \frac{5}{7} $

$$
= \frac{(7 \times 7) + 5}{7} = \frac{49 + 5}{7} = \frac{54}{7}
$$

✔ Answer: $ \frac{54}{7} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. $5\frac{1}{8}$ | $ \frac{41}{8} $ |
| 2. $7\frac{2}{3}$ | $ \frac{23}{3} $ |
| 3. $2\frac{1}{12}$ | $ \frac{25}{12} $ |
| 4. $8\frac{4}{5}$ | $ \frac{44}{5} $ |
| 5. $4\frac{3}{4}$ | $ \frac{19}{4} $ |
| 6. $3\frac{1}{11}$ | $ \frac{34}{11} $ |
| 7. $6\frac{4}{5}$ | $ \frac{34}{5} $ |
| 8. $10\frac{7}{8}$ | $ \frac{87}{8} $ |
| 9. $2\frac{9}{10}$ | $ \frac{29}{10} $ |
| 10. $6\frac{3}{5}$ | $ \frac{33}{5} $ |
| 11. $3\frac{4}{7}$ | $ \frac{25}{7} $ |
| 12. $9\frac{6}{7}$ | $ \frac{69}{7} $ |
| 13. $8\frac{2}{3}$ | $ \frac{26}{3} $ |
| 14. $11\frac{1}{12}$ | $ \frac{133}{12} $ |
| 15. $12\frac{5}{6}$ | $ \frac{77}{6} $ |
| 16. $4\frac{1}{5}$ | $ \frac{21}{5} $ |
| 17. $9\frac{1}{11}$ | $ \frac{100}{11} $ |
| 18. $7\frac{5}{7}$ | $ \frac{54}{7} $ |

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📌 Summary:

All answers are improper fractions (numerator > denominator), which is what was asked.

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