Let’s solve each question step by step. The goal is to convert between
improper fractions and
mixed numbers.
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Question 1: Write the improper fraction as a mixed number: `12/4`
To convert an improper fraction to a mixed number, divide the numerator by the denominator.
- `12 ÷ 4 = 3` with remainder `0`
- So, `12/4 = 3`
✔ Answer: C) 3
*(Note: Since there's no remainder, it’s just a whole number — still technically a mixed number with 0 fractional part.)*
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Question 2: Write the improper fraction as a mixed number: `22/3`
Divide 22 by 3:
- `22 ÷ 3 = 7` with remainder `1` → because `3 × 7 = 21`, and `22 - 21 = 1`
- So, `22/3 = 7 1/3`
✔ Answer: A) 7 1/3
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Question 3: Write the mixed number as an improper fraction: `5 6/7`
Formula:
> Improper fraction = (Whole number × Denominator) + Numerator, over the same denominator.
So:
- `(5 × 7) + 6 = 35 + 6 = 41`
- Denominator stays 7 → `41/7`
✔ Answer: `41/7`
*(No multiple choice given — just write the answer.)*
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Question 4: Write the mixed number as an improper fraction: `3 4/9`
Apply the same formula:
- `(3 × 9) + 4 = 27 + 4 = 31`
- Denominator = 9 → `31/9`
✔ Answer: `31/9`
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Question 5: Write the improper fraction as a mixed number: `27/8`
Divide 27 by 8:
- `27 ÷ 8 = 3` with remainder `3` → because `8 × 3 = 24`, and `27 - 24 = 3`
- So, `27/8 = 3 3/8`
✔ Answer: B) 3 3/8
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Question 6: Write the mixed number as an improper fraction: `7 5/11`
Use formula:
- `(7 × 11) + 5 = 77 + 5 = 82`
- Denominator = 11 → `82/11`
✔ Answer: `82/11`
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Question 7: Write the mixed number as an improper fraction: `2 3/5`
- `(2 × 5) + 3 = 10 + 3 = 13`
- Denominator = 5 → `13/5`
✔ Answer: `13/5`
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Question 8: Write the mixed number as an improper fraction: `4 5/8`
- `(4 × 8) + 5 = 32 + 5 = 37`
- Denominator = 8 → `37/8`
✔ Answer: `37/8`
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##
✔ Final Answers Summary:
1.
C) 3
2.
A) 7 1/3
3.
41/7
4.
31/9
5.
B) 3 3/8
6.
82/11
7.
13/5
8.
37/8
Let me know if you’d like help with the remaining 11 questions (9–19) — I can continue solving them!
Parent Tip: Review the logic above to help your child master the concept of advanced fraction worksheet.