Fractions Decimals Percents Worksheets - Free Printable

Absolutely! Let’s solve the “Fractions, Decimals & Percents Sheet 4” by converting each given value into its equivalent forms in the other two columns.

We’ll use these key conversion rules:

- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100 and add “%”.
- Percent → Decimal: Divide by 100.
- Decimal → Fraction: Write as a fraction over 10, 100, 1000, etc., then simplify.
- Percent → Fraction: Write as a fraction over 100, then simplify.
- Fraction → Percent: Convert to decimal first, then to percent.

---

Let’s go row by row:

---

Row 1: Fraction = 3/5

- Decimal: 3 ÷ 5 = 0.6
- Percent: 0.6 × 100 = 60%

✔ Answer: Decimal = 0.6, Percent = 60%

---

Row 2: Decimal = 0.64

- Fraction: 0.64 = 64/100 = 16/25 (simplified)
- Percent: 0.64 × 100 = 64%

✔ Answer: Fraction = 16/25, Percent = 64%

---

Row 3: Percent = 55%

- Decimal: 55 ÷ 100 = 0.55
- Fraction: 55/100 = 11/20 (simplified)

✔ Answer: Fraction = 11/20, Decimal = 0.55

---

Row 4: Decimal = 0.16

- Fraction: 0.16 = 16/100 = 4/25
- Percent: 0.16 × 100 = 16%

✔ Answer: Fraction = 4/25, Percent = 16%

---

Row 5: Fraction = 17/100

- Decimal: 17 ÷ 100 = 0.17
- Percent: 0.17 × 100 = 17%

✔ Answer: Decimal = 0.17, Percent = 17%

---

Row 6: Decimal = 0.35

- Fraction: 0.35 = 35/100 = 7/20
- Percent: 0.35 × 100 = 35%

✔ Answer: Fraction = 7/20, Percent = 35%

---

Row 7: Percent = 28%

- Decimal: 28 ÷ 100 = 0.28
- Fraction: 28/100 = 7/25

✔ Answer: Fraction = 7/25, Decimal = 0.28

---

Row 8: Percent = 62.5%

- Decimal: 62.5 ÷ 100 = 0.625
- Fraction: 62.5/100 = 625/1000 = 5/8 (simplified)

✔ Answer: Fraction = 5/8, Decimal = 0.625

---

Row 9: Decimal = 0.59

- Fraction: 0.59 = 59/100 (already simplified)
- Percent: 0.59 × 100 = 59%

✔ Answer: Fraction = 59/100, Percent = 59%

---

Row 10: Fraction = 4/7

- Decimal: 4 ÷ 7 ≈ 0.5714 (we can round to 4 decimal places: 0.5714)
- Percent: 0.5714 × 100 ≈ 57.14%

> Note: Since 4/7 is a repeating decimal (0.571428...), it's common to round to 2 or 4 decimal places for worksheets.

✔ Answer: Decimal ≈ 0.5714, Percent ≈ 57.14%

---

Row 11: Decimal = 0.44

- Fraction: 0.44 = 44/100 = 11/25
- Percent: 0.44 × 100 = 44%

✔ Answer: Fraction = 11/25, Percent = 44%

---

Row 12: Percent = 32%

- Decimal: 32 ÷ 100 = 0.32
- Fraction: 32/100 = 8/25

✔ Answer: Fraction = 8/25, Decimal = 0.32

---

Row 13: Fraction = 3/2

- Decimal: 3 ÷ 2 = 1.5
- Percent: 1.5 × 100 = 150%

✔ Answer: Decimal = 1.5, Percent = 150%

---

Row 14: Decimal = 0.824

- Fraction: 0.824 = 824/1000 = 103/125 (simplified — divide numerator and denominator by 8)
- Percent: 0.824 × 100 = 82.4%

✔ Answer: Fraction = 103/125, Percent = 82.4%

---

Row 15: Decimal = 0.73

- Fraction: 0.73 = 73/100 (already simplified)
- Percent: 0.73 × 100 = 73%

✔ Answer: Fraction = 73/100, Percent = 73%

---

Row 16: Fraction = 1 ¾

First, convert mixed number to improper fraction:
1 ¾ = (4×1 + 3)/4 = 7/4

- Decimal: 7 ÷ 4 = 1.75
- Percent: 1.75 × 100 = 175%

✔ Answer: Decimal = 1.75, Percent = 175%

---

Row 17: Percent = 148%

- Decimal: 148 ÷ 100 = 1.48
- Fraction: 148/100 = 37/25 (simplified) or as a mixed number: 1 12/25

✔ Answer: Fraction = 37/25 (or 1 12/25), Decimal = 1.48

---

## ✔ Final Completed Table:

| FRACTION | DECIMAL | PERCENT |
|----------------|-----------|-----------|
| 3/5 | 0.6 | 60% |
| 16/25 | 0.64 | 64% |
| 11/20 | 0.55 | 55% |
| 4/25 | 0.16 | 16% |
| 17/100 | 0.17 | 17% |
| 7/20 | 0.35 | 35% |
| 7/25 | 0.28 | 28% |
| 5/8 | 0.625 | 62.5% |
| 59/100 | 0.59 | 59% |
| 4/7 | 0.5714 | 57.14% |
| 11/25 | 0.44 | 44% |
| 8/25 | 0.32 | 32% |
| 3/2 | 1.5 | 150% |
| 103/125 | 0.824 | 82.4% |
| 73/100 | 0.73 | 73% |
| 7/4 (or 1¾) | 1.75 | 175% |
| 37/25 (or 1¹²⁄₂₅) | 1.48 | 148% |

---

📌 Note for Teachers/Students: For repeating decimals like 4/7, rounding to 2 or 4 decimal places is acceptable unless specified otherwise. All fractions are reduced to lowest terms.

Let me know if you’d like this as a printable answer sheet or need explanations for specific rows!