Convert mixed numbers to improper fractions with this math worksheet from Urbrainy.com.

Let's solve each of these mixed numbers by converting them into improper fractions using the method explained:

🔷 Steps to convert a mixed number to an improper fraction:

1. Multiply the whole number by the denominator.
2. Add the numerator to that product.
3. Keep the same denominator.

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We'll go through each problem one by one.

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1. $ 5 \frac{1}{2} $

- Multiply: $ 5 \times 2 = 10 $
- Add numerator: $ 10 + 1 = 11 $
- Denominator stays: $ 2 $
- Answer: $ \frac{11}{2} $

✔ $ \boxed{\frac{11}{2}} $

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2. $ 8 \frac{2}{5} $

- $ 8 \times 5 = 40 $
- $ 40 + 2 = 42 $
- Denominator: $ 5 $
- Answer: $ \frac{42}{5} $

✔ $ \boxed{\frac{42}{5}} $

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3. $ 7 \frac{4}{5} $

- $ 7 \times 5 = 35 $
- $ 35 + 4 = 39 $
- Denominator: $ 5 $
- Answer: $ \frac{39}{5} $

✔ $ \boxed{\frac{39}{5}} $

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4. $ 8 \frac{7}{8} $

- $ 8 \times 8 = 64 $
- $ 64 + 7 = 71 $
- Denominator: $ 8 $
- Answer: $ \frac{71}{8} $

✔ $ \boxed{\frac{71}{8}} $

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5. $ 3 \frac{1}{4} $

- $ 3 \times 4 = 12 $
- $ 12 + 1 = 13 $
- Denominator: $ 4 $
- Answer: $ \frac{13}{4} $

✔ $ \boxed{\frac{13}{4}} $

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6. $ 4 \frac{1}{5} $

- $ 4 \times 5 = 20 $
- $ 20 + 1 = 21 $
- Denominator: $ 5 $
- Answer: $ \frac{21}{5} $

✔ $ \boxed{\frac{21}{5}} $

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7. $ 6 \frac{1}{3} $

- $ 6 \times 3 = 18 $
- $ 18 + 1 = 19 $
- Denominator: $ 3 $
- Answer: $ \frac{19}{3} $

✔ $ \boxed{\frac{19}{3}} $

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8. $ 4 \frac{1}{4} $

- $ 4 \times 4 = 16 $
- $ 16 + 1 = 17 $
- Denominator: $ 4 $
- Answer: $ \frac{17}{4} $

✔ $ \boxed{\frac{17}{4}} $

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9. $ 3 \frac{2}{3} $

- $ 3 \times 3 = 9 $
- $ 9 + 2 = 11 $
- Denominator: $ 3 $
- Answer: $ \frac{11}{3} $

✔ $ \boxed{\frac{11}{3}} $

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10. $ 9 \frac{2}{3} $

- $ 9 \times 3 = 27 $
- $ 27 + 2 = 29 $
- Denominator: $ 3 $
- Answer: $ \frac{29}{3} $

✔ $ \boxed{\frac{29}{3}} $

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11. $ 6 \frac{5}{6} $

- $ 6 \times 6 = 36 $
- $ 36 + 5 = 41 $
- Denominator: $ 6 $
- Answer: $ \frac{41}{6} $

✔ $ \boxed{\frac{41}{6}} $

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12. $ 9 \frac{2}{3} $

- Same as #10
- $ 9 \times 3 = 27 $
- $ 27 + 2 = 29 $
- Denominator: $ 3 $
- Answer: $ \frac{29}{3} $

✔ $ \boxed{\frac{29}{3}} $

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13. $ 3 \frac{1}{2} $

- $ 3 \times 2 = 6 $
- $ 6 + 1 = 7 $
- Denominator: $ 2 $
- Answer: $ \frac{7}{2} $

✔ $ \boxed{\frac{7}{2}} $

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14. $ 7 \frac{1}{4} $

- $ 7 \times 4 = 28 $
- $ 28 + 1 = 29 $
- Denominator: $ 4 $
- Answer: $ \frac{29}{4} $

✔ $ \boxed{\frac{29}{4}} $

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15. $ 3 \frac{3}{7} $

- $ 3 \times 7 = 21 $
- $ 21 + 3 = 24 $
- Denominator: $ 7 $
- Answer: $ \frac{24}{7} $

✔ $ \boxed{\frac{24}{7}} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. $ 5 \frac{1}{2} $ | $ \frac{11}{2} $ |
| 2. $ 8 \frac{2}{5} $ | $ \frac{42}{5} $ |
| 3. $ 7 \frac{4}{5} $ | $ \frac{39}{5} $ |
| 4. $ 8 \frac{7}{8} $ | $ \frac{71}{8} $ |
| 5. $ 3 \frac{1}{4} $ | $ \frac{13}{4} $ |
| 6. $ 4 \frac{1}{5} $ | $ \frac{21}{5} $ |
| 7. $ 6 \frac{1}{3} $ | $ \frac{19}{3} $ |
| 8. $ 4 \frac{1}{4} $ | $ \frac{17}{4} $ |
| 9. $ 3 \frac{2}{3} $ | $ \frac{11}{3} $ |
| 10. $ 9 \frac{2}{3} $ | $ \frac{29}{3} $ |
| 11. $ 6 \frac{5}{6} $ | $ \frac{41}{6} $ |
| 12. $ 9 \frac{2}{3} $ | $ \frac{29}{3} $ |
| 13. $ 3 \frac{1}{2} $ | $ \frac{7}{2} $ |
| 14. $ 7 \frac{1}{4} $ | $ \frac{29}{4} $ |
| 15. $ 3 \frac{3}{7} $ | $ \frac{24}{7} $ |

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Let me know if you'd like this in printable format or need help with the reverse (improper to mixed). 😊