Math worksheet for converting mixed numbers to improper fractions, including step-by-step instructions and practice problems.

Absolutely! Let’s solve this step by step using the method shown in the worksheet.

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📘 How to Convert a Mixed Number to an Improper Fraction

As the turtle explains:

> 1. Multiply the whole number by the fraction’s denominator (bottom number).
> 2. Add that result to the numerator (top number).
> 3. Keep the same denominator. Write the new numerator over it.

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Let’s apply this to each problem:

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

- Whole number: 5, Denominator: 2 → $ 5 \times 2 = 10 $
- Add numerator: $ 10 + 1 = 11 $
- Denominator stays 2 → $ \boxed{\frac{11}{2}} $

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

- $ 8 \times 5 = 40 $
- $ 40 + 2 = 42 $
- → $ \boxed{\frac{42}{5}} $

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

- $ 7 \times 5 = 35 $
- $ 35 + 4 = 39 $
- → $ \boxed{\frac{39}{5}} $

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

- $ 8 \times 8 = 64 $
- $ 64 + 7 = 71 $
- → $ \boxed{\frac{71}{8}} $

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

- $ 3 \times 4 = 12 $
- $ 12 + 1 = 13 $
- → $ \boxed{\frac{13}{4}} $

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

- $ 4 \times 5 = 20 $
- $ 20 + 1 = 21 $
- → $ \boxed{\frac{21}{5}} $

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

- $ 6 \times 3 = 18 $
- $ 18 + 1 = 19 $
- → $ \boxed{\frac{19}{3}} $

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

- $ 4 \times 4 = 16 $
- $ 16 + 1 = 17 $
- → $ \boxed{\frac{17}{4}} $

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

- $ 3 \times 3 = 9 $
- $ 9 + 2 = 11 $
- → $ \boxed{\frac{11}{3}} $

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

- $ 9 \times 3 = 27 $
- $ 27 + 2 = 29 $
- → $ \boxed{\frac{29}{3}} $

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

- $ 6 \times 6 = 36 $
- $ 36 + 5 = 41 $
- → $ \boxed{\frac{41}{6}} $

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#### 12. $ 9 \frac{2}{3} $ ← Same as #10!

- Already solved → $ \boxed{\frac{29}{3}} $

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

- $ 3 \times 2 = 6 $
- $ 6 + 1 = 7 $
- → $ \boxed{\frac{7}{2}} $

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

- $ 7 \times 4 = 28 $
- $ 28 + 1 = 29 $
- → $ \boxed{\frac{29}{4}} $

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

- $ 3 \times 7 = 21 $
- $ 21 + 3 = 24 $
- → $ \boxed{\frac{24}{7}} $

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## ✔ Final Answers:

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

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You’re all set! Just fill these into the boxes on your worksheet. 😊