Convert mixed numbers to improper fractions in this math practice worksheet.

Let's solve each problem step by step.

We are asked to convert mixed numbers into improper fractions.

🔁 How to convert a mixed number to an improper fraction:

A mixed number is written as:
$$
a \frac{b}{c}
$$
Where:
- $ a $ = whole number
- $ b $ = numerator of the fractional part
- $ c $ = denominator of the fractional part

To convert 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 one:

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1. $ 5 \frac{5}{6} = \frac{5 \times 6 + 5}{6} = \frac{30 + 5}{6} = \frac{35}{6} $

2. $ 3 \frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{12 + 1}{4} = \frac{13}{4} $

3. $ 7 \frac{3}{4} = \frac{7 \times 4 + 3}{4} = \frac{28 + 3}{4} = \frac{31}{4} $

4. $ 6 \frac{1}{5} = \frac{6 \times 5 + 1}{5} = \frac{30 + 1}{5} = \frac{31}{5} $

5. $ 3 \frac{3}{5} = \frac{3 \times 5 + 3}{5} = \frac{15 + 3}{5} = \frac{18}{5} $

6. $ 4 \frac{3}{8} = \frac{4 \times 8 + 3}{8} = \frac{32 + 3}{8} = \frac{35}{8} $

7. $ 6 \frac{1}{7} = \frac{6 \times 7 + 1}{7} = \frac{42 + 1}{7} = \frac{43}{7} $

8. $ 4 \frac{1}{3} = \frac{4 \times 3 + 1}{3} = \frac{12 + 1}{3} = \frac{13}{3} $

9. $ 5 \frac{1}{3} = \frac{5 \times 3 + 1}{3} = \frac{15 + 1}{3} = \frac{16}{3} $

10. $ 8 \frac{5}{8} = \frac{8 \times 8 + 5}{8} = \frac{64 + 5}{8} = \frac{69}{8} $

11. $ 5 \frac{2}{7} = \frac{5 \times 7 + 2}{7} = \frac{35 + 2}{7} = \frac{37}{7} $

12. $ 6 \frac{2}{5} = \frac{6 \times 5 + 2}{5} = \frac{30 + 2}{5} = \frac{32}{5} $

13. $ 7 \frac{2}{6} = \frac{7 \times 6 + 2}{6} = \frac{42 + 2}{6} = \frac{44}{6} $
→ Simplify: $ \frac{44}{6} = \frac{22}{3} $ (but since it says "improper fraction", either is acceptable unless simplified is required. But we'll keep as $ \frac{44}{6} $ unless told otherwise — but usually simplify.)

Actually, $ \frac{44}{6} $ simplifies to $ \frac{22}{3} $. Let’s simplify where possible.

So: $ \boxed{\frac{22}{3}} $

14. $ 4 \frac{4}{5} = \frac{4 \times 5 + 4}{5} = \frac{20 + 4}{5} = \frac{24}{5} $

15. $ 6 \frac{1}{4} = \frac{6 \times 4 + 1}{4} = \frac{24 + 1}{4} = \frac{25}{4} $

16. $ 8 \frac{1}{9} = \frac{8 \times 9 + 1}{9} = \frac{72 + 1}{9} = \frac{73}{9} $

17. $ 4 \frac{3}{7} = \frac{4 \times 7 + 3}{7} = \frac{28 + 3}{7} = \frac{31}{7} $

18. $ 3 \frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2} $

19. $ 9 \frac{4}{5} = \frac{9 \times 5 + 4}{5} = \frac{45 + 4}{5} = \frac{49}{5} $

20. $ 7 \frac{2}{7} = \frac{7 \times 7 + 2}{7} = \frac{49 + 2}{7} = \frac{51}{7} $

21. $ 1 \frac{5}{6} = \frac{1 \times 6 + 5}{6} = \frac{6 + 5}{6} = \frac{11}{6} $

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✔ Final Answers:

1. $ \frac{35}{6} $
2. $ \frac{13}{4} $
3. $ \frac{31}{4} $
4. $ \frac{31}{5} $
5. $ \frac{18}{5} $
6. $ \frac{35}{8} $
7. $ \frac{43}{7} $
8. $ \frac{13}{3} $
9. $ \frac{16}{3} $
10. $ \frac{69}{8} $
11. $ \frac{37}{7} $
12. $ \frac{32}{5} $
13. $ \frac{22}{3} $ *(simplified from $ \frac{44}{6} $)*
14. $ \frac{24}{5} $
15. $ \frac{25}{4} $
16. $ \frac{73}{9} $
17. $ \frac{31}{7} $
18. $ \frac{7}{2} $
19. $ \frac{49}{5} $
20. $ \frac{51}{7} $
21. $ \frac{11}{6} $

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✔ All converted to improper fractions!

Let me know if you'd like these in a printable format or with explanations for any specific ones!