Worksheet for converting improper fractions to mixed numbers with examples and exercises.

You're working on converting improper fractions to mixed numbers. Let’s walk through the steps and then solve all 12 problems.

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✔ Steps Recap (from your worksheet):

To convert an improper fraction (like `11/4`) to a mixed number:

1. Divide the numerator by the denominator.
- This gives you the whole number part.
2. Write down the whole number part.
3. Write the remainder over the original denominator.
- This becomes the fractional part.

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🔢 Example from Worksheet: Convert `11/4`

- Step 1: `11 ÷ 4 = 2` with a remainder of 3
- Step 2: Whole number = 2
- Step 3: Remainder over denominator → `3/4`
- Final Answer: `2 3/4`

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Now let’s solve each problem one by one:

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📝 Problem Solutions:

#### 1. `9/4`
- `9 ÷ 4 = 2` remainder `1`
- → `2 1/4`

#### 2. `14/5`
- `14 ÷ 5 = 2` remainder `4`
- → `2 4/5`

#### 3. `43/10`
- `43 ÷ 10 = 4` remainder `3`
- → `4 3/10`

#### 4. `8/5`
- `8 ÷ 5 = 1` remainder `3`
- → `1 3/5`

#### 5. `65/6`
- `65 ÷ 6 = 10` remainder `5`
- → `10 5/6`

#### 6. `30/7`
- `30 ÷ 7 = 4` remainder `2`
- → `4 2/7`

#### 7. `31/8`
- `31 ÷ 8 = 3` remainder `7`
- → `3 7/8`

#### 8. `11/2`
- `11 ÷ 2 = 5` remainder `1`
- → `5 1/2`

#### 9. `62/9`
- `62 ÷ 9 = 6` remainder `8`
- → `6 8/9`

#### 10. `85/9`
- `85 ÷ 9 = 9` remainder `4`
- → `9 4/9`

#### 11. `50/11`
- `50 ÷ 11 = 4` remainder `6`
- → `4 6/11`

#### 12. `87/10`
- `87 ÷ 10 = 8` remainder `7`
- → `8 7/10`

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✔ Final Answers (for filling in the blanks):

1. 2 1/4
2. 2 4/5
3. 4 3/10
4. 1 3/5
5. 10 5/6
6. 4 2/7
7. 3 7/8
8. 5 1/2
9. 6 8/9
10. 9 4/9
11. 4 6/11
12. 8 7/10

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✔ You’re done! Each improper fraction is now written as a mixed number using division and remainders. Great job practicing this essential math skill!