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Students can practice adding mixed numbers with this engaging worksheet featuring a helpful turtle guide.

Math worksheet for adding mixed numbers with fractions and an example problem.

Math worksheet for adding mixed numbers with fractions and an example problem.

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Show Answer Key & Explanations Step-by-step solution for: Adding mixed numbers - Fraction and Decimal Worksheets for Year 6 ...
Absolutely! Let’s solve each of these mixed number addition problems step by step. The key is to:

1. Add the whole numbers together.
2. Add the fractions — but first, make sure they have a common denominator.
3. If the fraction part is an improper fraction (numerator ≥ denominator), convert it to a mixed number and add the whole number part to your total.
4. Simplify the final fraction if needed.

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Let’s go one by one:

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Problem 2: `4 2/5 + 6 2/4`



First, simplify `2/4` → `1/2`

So we have:
4 2/5 + 6 1/2

- Whole numbers: 4 + 6 = 10
- Fractions: `2/5 + 1/2`

Find common denominator → LCM of 5 and 2 is 10

→ `2/5 = 4/10`, `1/2 = 5/10`

→ `4/10 + 5/10 = 9/10`

Final answer: 10 9/10

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Problem 3: `3 1/4 + 4 2/5`



- Whole numbers: 3 + 4 = 7
- Fractions: `1/4 + 2/5`

Common denominator → LCM of 4 and 5 is 20

→ `1/4 = 5/20`, `2/5 = 8/20`

→ `5/20 + 8/20 = 13/20`

Final answer: 7 13/20

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Problem 4: `4 2/3 + 7 1/2`



- Whole numbers: 4 + 7 = 11
- Fractions: `2/3 + 1/2`

Common denominator → LCM of 3 and 2 is 6

→ `2/3 = 4/6`, `1/2 = 3/6`

→ `4/6 + 3/6 = 7/6`

Now, `7/6` is improper → convert to mixed number: 1 1/6

Add that 1 to the whole number: 11 + 1 = 12

Final answer: 12 1/6

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Problem 5: `5 4/5 + 4 1/2`



- Whole numbers: 5 + 4 = 9
- Fractions: `4/5 + 1/2`

Common denominator → LCM of 5 and 2 is 10

→ `4/5 = 8/10`, `1/2 = 5/10`

→ `8/10 + 5/10 = 13/10`

Convert `13/10` → 1 3/10

Add 1 to whole number: 9 + 1 = 10

Final answer: 10 3/10

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Problem 6: `1 2/3 + 5 3/4`



- Whole numbers: 1 + 5 = 6
- Fractions: `2/3 + 3/4`

Common denominator → LCM of 3 and 4 is 12

→ `2/3 = 8/12`, `3/4 = 9/12`

→ `8/12 + 9/12 = 17/12`

Convert `17/12` → 1 5/12

Add 1 to whole number: 6 + 1 = 7

Final answer: 7 5/12

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Problem 7: `3 1/2 + 5 2/3`



- Whole numbers: 3 + 5 = 8
- Fractions: `1/2 + 2/3`

Common denominator → LCM of 2 and 3 is 6

→ `1/2 = 3/6`, `2/3 = 4/6`

→ `3/6 + 4/6 = 7/6`

Convert `7/6` → 1 1/6

Add 1 to whole number: 8 + 1 = 9

Final answer: 9 1/6

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Problem 8: `6 2/5 + 4 1/4`



- Whole numbers: 6 + 4 = 10
- Fractions: `2/5 + 1/4`

Common denominator → LCM of 5 and 4 is 20

→ `2/5 = 8/20`, `1/4 = 5/20`

→ `8/20 + 5/20 = 13/20`

Final answer: 10 13/20

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## Final Answers:

2. 10 9/10
3. 7 13/20
4. 12 1/6
5. 10 3/10
6. 7 5/12
7. 9 1/6
8. 10 13/20

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Let me know if you’d like to see this explained with visuals or diagrams! 😊
Parent Tip: Review the logic above to help your child master the concept of mixed fraction addition worksheet.
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