Grade 5 Improper Fractions Worksheets | Free Worksheets | Printables - Free Printable

Sure! Let’s solve the worksheet step by step.

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📌 What is an Improper Fraction?

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number).

📌 What is a Mixed Number?

A mixed number has a whole number part and a fractional part (proper fraction).

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✔ How to Convert Improper Fractions to Mixed Numbers:

1. Divide the numerator by the denominator.
2. The quotient becomes the whole number.
3. The remainder becomes the new numerator.
4. The denominator stays the same.
5. Write it as: `Whole Number + Remainder/Denominator`

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Let’s solve each problem:

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#### 1. 23/7
23 ÷ 7 = 3 with remainder 2 → 3 2/7

#### 2. 25/6
25 ÷ 6 = 4 with remainder 1 → 4 1/6

#### 3. 13/4
13 ÷ 4 = 3 with remainder 1 → 3 1/4

#### 4. 33/8
33 ÷ 8 = 4 with remainder 1 → 4 1/8

#### 5. 17/5
17 ÷ 5 = 3 with remainder 2 → 3 2/5

#### 6. 42/10
42 ÷ 10 = 4 with remainder 2 → 4 2/10 → Simplify: 4 1/5

> 💡 *Note: We simplify fractions when possible. 2/10 reduces to 1/5.*

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#### 7. 61/12
61 ÷ 12 = 5 with remainder 1 → 5 1/12

#### 8. 29/8
29 ÷ 8 = 3 with remainder 5 → 3 5/8

#### 9. 37/6
37 ÷ 6 = 6 with remainder 1 → 6 1/6

#### 10. 49/8
49 ÷ 8 = 6 with remainder 1 → 6 1/8

#### 11. 32/6
32 ÷ 6 = 5 with remainder 2 → 5 2/6 → Simplify: 5 1/3

> 💡 2/6 = 1/3

#### 12. 28/9
28 ÷ 9 = 3 with remainder 1 → 3 1/9

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#### 13. 86/7
86 ÷ 7 = 12 with remainder 2 → 12 2/7

#### 14. 49/12
49 ÷ 12 = 4 with remainder 1 → 4 1/12

#### 15. 97/8
97 ÷ 8 = 12 with remainder 1 → 12 1/8

#### 16. 38/9
38 ÷ 9 = 4 with remainder 2 → 4 2/9

#### 17. 79/11
79 ÷ 11 = 7 with remainder 2 → 7 2/11

#### 18. 82/9
82 ÷ 9 = 9 with remainder 1 → 9 1/9

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## ✔ Final Answers:

1. 3 2/7
2. 4 1/6
3. 3 1/4
4. 4 1/8
5. 3 2/5
6. 4 1/5
7. 5 1/12
8. 3 5/8
9. 6 1/6
10. 6 1/8
11. 5 1/3
12. 3 1/9
13. 12 2/7
14. 4 1/12
15. 12 1/8
16. 4 2/9
17. 7 2/11
18. 9 1/9

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✔ All answers are simplified where possible.

Let me know if you’d like to see the reverse (mixed numbers to improper fractions) or need help with visual models! 😊