Of course! Let’s solve the problem step by step.
The task is to
convert decimals to fractions. If the decimal is
greater than 1, we convert it to a
mixed fraction (whole number + proper fraction). If it’s less than 1, we just write it as a
proper fraction in simplest form.
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📌 General Method:
1.
Write the decimal as a fraction over a power of 10:
- 1 decimal place → denominator 10
- 2 decimal places → denominator 100
- 3 decimal places → denominator 1000
2.
Simplify the fraction by dividing numerator and denominator by their GCF (Greatest Common Factor).
3.
If the decimal > 1, separate the whole number part and convert the decimal part to a fraction → mixed number.
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Let’s go row by row:
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## 🔹 Row 1:
0.51 = ?
- 2 decimal places → 51/100
- GCF of 51 and 100 is 1 → already simplified.
✔ Answer: 51/100
---
0.399 = ?
- 3 decimal places → 399/1000
- Check GCF: 399 and 1000 → 399 = 3×7×19; 1000 = 2³×5³ → no common factors.
✔ Answer: 399/1000
---
## 🔹 Row 2:
6.44 = ?
- Whole number = 6
- Decimal part = 0.44 = 44/100
- Simplify 44/100: divide numerator & denominator by 4 → 11/25
✔ Answer: 6 11/25
---
0.29 = ?
- 2 decimal places → 29/100
- GCF(29,100)=1 → prime number.
✔ Answer: 29/100
---
## 🔹 Row 3:
1.8 = ?
- Whole number = 1
- Decimal part = 0.8 = 8/10 = 4/5 (simplified)
✔ Answer: 1 4/5
---
9.15 = ?
- Whole number = 9
- Decimal part = 0.15 = 15/100 = 3/20 (divide by 5)
✔ Answer: 9 3/20
---
## 🔹 Row 4:
2.7 = ?
- Whole number = 2
- Decimal part = 0.7 = 7/10
✔ Answer: 2 7/10
---
15.6 = ?
- Whole number = 15
- Decimal part = 0.6 = 6/10 = 3/5
✔ Answer: 15 3/5
---
## 🔹 Row 5:
5.59 = ?
- Whole number = 5
- Decimal part = 0.59 = 59/100 → 59 is prime, so can’t simplify.
✔ Answer: 5 59/100
---
0.44 = ?
- 44/100 = 11/25 (divide by 4)
✔ Answer: 11/25
---
## 🔹 Row 6:
9.3 = ?
- Whole number = 9
- Decimal part = 0.3 = 3/10
✔ Answer: 9 3/10
---
3.84 = ?
- Whole number = 3
- Decimal part = 0.84 = 84/100 = 21/25 (divide by 4)
✔ Answer: 3 21/25
---
## 🔹 Row 7:
5.2 = ?
- Whole number = 5
- Decimal part = 0.2 = 2/10 = 1/5
✔ Answer: 5 1/5
---
4.86 = ?
- Whole number = 4
- Decimal part = 0.86 = 86/100 = 43/50 (divide by 2)
✔ Answer: 4 43/50
---
##
✔ Final Answers (Filled Table):
| 0.51 =
51/100 | 0.399 =
399/1000 |
|--------------------------|----------------------------|
| 6.44 =
6 11/25 | 0.29 =
29/100 |
| 1.8 =
1 4/5 | 9.15 =
9 3/20 |
| 2.7 =
2 7/10 | 15.6 =
15 3/5 |
| 5.59 =
5 59/100 | 0.44 =
11/25 |
| 9.3 =
9 3/10 | 3.84 =
3 21/25 |
| 5.2 =
5 1/5 | 4.86 =
4 43/50 |
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Let me know if you’d like to see how to convert these back to decimals or want to practice more! 😊
Parent Tip: Review the logic above to help your child master the concept of converting repeating decimals to fractions worksheet.
