Absolutely! Let's solve the worksheet step by step.
The task is to
convert decimals to mixed numbers and
simplify if possible.
---
🔢 What is a Mixed Number?
A mixed number has two parts:
- A
whole number part
- A
fractional part (which must be less than 1)
For example:
`3.75 = 3 + 0.75 = 3 75/100 = 3 3/4` (after simplifying)
---
📝 General Steps to Convert Decimal → Mixed Number:
1.
Separate the whole number from the decimal part.
- Example: `25.2` → Whole number = `25`, Decimal part = `0.2`
2.
Convert the decimal part to a fraction.
- Count decimal places → denominator is 10, 100, 1000, etc.
- `0.2 = 2/10`
- `0.07 = 7/100`
- `0.52 = 52/100`
3.
Simplify the fraction if possible.
- Reduce by dividing numerator and denominator by their GCF.
4.
Combine with the whole number to form the mixed number.
---
Now let’s solve each problem:
---
✔ 1. 25.2
- Whole number: 25
- Decimal: 0.2 = 2/10 =
1/5
- Mixed number:
25 1/5
---
✔ 2. 53.07
- Whole number: 53
- Decimal: 0.07 = 7/100 (already simplified)
- Mixed number:
53 7/100
---
✔ 3. 7.52
- Whole number: 7
- Decimal: 0.52 = 52/100 = 13/25 (÷4)
- Mixed number:
7 13/25
---
✔ 4. 9.9
- Whole number: 9
- Decimal: 0.9 = 9/10 (already simplified)
- Mixed number:
9 9/10
---
✔ 5. 95.1
- Whole number: 95
- Decimal: 0.1 = 1/10
- Mixed number:
95 1/10
---
✔ 6. 12.5
- Whole number: 12
- Decimal: 0.5 = 5/10 =
1/2
- Mixed number:
12 1/2
---
✔ 7. 18.9
- Whole number: 18
- Decimal: 0.9 = 9/10
- Mixed number:
18 9/10
---
✔ 8. 74.6
- Whole number: 74
- Decimal: 0.6 = 6/10 =
3/5
- Mixed number:
74 3/5
---
✔ 9. 75.5
- Whole number: 75
- Decimal: 0.5 = 5/10 =
1/2
- Mixed number:
75 1/2
---
✔ 10. 25.04
- Whole number: 25
- Decimal: 0.04 = 4/100 =
1/25
- Mixed number:
25 1/25
---
✔ 11. 86.92
- Whole number: 86
- Decimal: 0.92 = 92/100 = 23/25 (÷4)
- Mixed number:
86 23/25
---
✔ 12. 80.34
- Whole number: 80
- Decimal: 0.34 = 34/100 = 17/50 (÷2)
- Mixed number:
80 17/50
---
✔ 13. 98.32
- Whole number: 98
- Decimal: 0.32 = 32/100 = 8/25 (÷4)
- Mixed number:
98 8/25
---
✔ 14. 38.31
- Whole number: 38
- Decimal: 0.31 = 31/100 (already simplified — 31 is prime)
- Mixed number:
38 31/100
---
✔ 15. 95.2
- Whole number: 95
- Decimal: 0.2 = 2/10 =
1/5
- Mixed number:
95 1/5
---
✔ 16. 70.64
- Whole number: 70
- Decimal: 0.64 = 64/100 = 16/25 (÷4)
- Mixed number:
70 16/25
---
## 🎯 Final Answers:
1.
25 1/5
2.
53 7/100
3.
7 13/25
4.
9 9/10
5.
95 1/10
6.
12 1/2
7.
18 9/10
8.
74 3/5
9.
75 1/2
10.
25 1/25
11.
86 23/25
12.
80 17/50
13.
98 8/25
14.
38 31/100
15.
95 1/5
16.
70 16/25
---
✔ All answers are simplified fractions where possible.
Let me know if you’d like to see any step explained in more detail!
Parent Tip: Review the logic above to help your child master the concept of fractions to decimals worksheet pdf.
