Math worksheet for practicing division of mixed numbers.

You're working on Dividing Mixed Numbers. To solve these problems, follow this standard procedure:

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✔ Step-by-step Method:

1. Convert each mixed number to an improper fraction.
2. Rewrite the division as multiplication by the reciprocal of the second fraction.
3. Multiply the numerators and denominators.
4. Simplify the result (reduce and/or convert back to a mixed number if needed).

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Let’s solve each problem one by one.

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## 🔢 Problem 1:
2¾ ÷ 3½

- Convert to improper fractions:
- 2¾ = (2×4 + 3)/4 = 11/4
- 3½ = (3×2 + 1)/2 = 7/2

- Now divide:
→ 11/4 ÷ 7/2 = 11/4 × 2/7

- Multiply:
→ (11 × 2) / (4 × 7) = 22 / 28

- Simplify:
→ Divide numerator and denominator by 2 → 11/14

✔ Answer: 11/14

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## 🔢 Problem 2:
4⅔ ÷ 3¾

- Convert:
- 4⅔ = (4×3 + 2)/3 = 14/3
- 3¾ = (3×4 + 3)/4 = 15/4

- Divide:
→ 14/3 ÷ 15/4 = 14/3 × 4/15

- Multiply:
→ (14 × 4) / (3 × 15) = 56 / 45

- Simplify:
→ 56/45 is an improper fraction → convert to mixed number:
→ 45 goes into 56 once with remainder 11 → 1 11/45

✔ Answer: 1 11/45

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## 🔢 Problem 3:
2⅖ ÷ 4¾

- Convert:
- 2⅖ = (2×5 + 2)/5 = 12/5
- 4¾ = (4×4 + 3)/4 = 19/4

- Divide:
→ 12/5 ÷ 19/4 = 12/5 × 4/19

- Multiply:
→ (12 × 4) / (5 × 19) = 48 / 95

- Check simplification:
→ GCF of 48 and 95 is 1 → already simplified.

✔ Answer: 48/95

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## 🔢 Problem 4:
2⅕ ÷ 4¾

- Convert:
- 2⅕ = (2×5 + 1)/5 = 11/5
- 4¾ = (4×4 + 3)/4 = 19/4

- Divide:
→ 11/5 ÷ 19/4 = 11/5 × 4/19

- Multiply:
→ (11 × 4) / (5 × 19) = 44 / 95

- Simplify:
→ GCF of 44 and 95 is 1 → already simplified.

✔ Answer: 44/95

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## 🔢 Problem 5:
2½ ÷ 2¾

- Convert:
- 2½ = (2×2 + 1)/2 = 5/2
- 2¾ = (2×4 + 3)/4 = 11/4

- Divide:
→ 5/2 ÷ 11/4 = 5/2 × 4/11

- Multiply:
→ (5 × 4) / (2 × 11) = 20 / 22

- Simplify:
→ Divide numerator and denominator by 2 → 10/11

✔ Answer: 10/11

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## 📝 Final Answers:

1) 11/14
2) 1 11/45
3) 48/95
4) 44/95
5) 10/11

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Let me know if you’d like to see visual models or step-by-step breakdowns for any specific problem! 😊