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Math worksheet for converting fractions, decimals, and percentages.

A math worksheet titled "Fractions, Decimals & Percents Sheet 4" with a table for converting between fractions, decimals, and percentages, featuring various numerical examples and a logo in the top right corner.

A math worksheet titled "Fractions, Decimals & Percents Sheet 4" with a table for converting between fractions, decimals, and percentages, featuring various numerical examples and a logo in the top right corner.

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Show Answer Key & Explanations Step-by-step solution for: Fractions Decimals Percents Worksheets
Explanation:
Let’s go through each row of the table and convert between fractions, decimals, and percents. Remember:
- To convert a fraction to a decimal, divide the top number (numerator) by the bottom number (denominator).
- To convert a decimal to a percent, multiply by 100 and add the % sign.
- To convert a percent to a decimal, divide by 100.
- To convert a decimal to a fraction, write it as a fraction over 100 (or 10, 1000, etc.) and simplify.
- To convert a percent to a fraction, write it as a fraction over 100 and simplify.

We’ll fill in the blanks step by step.

---

Row 1: Fraction = 3/5
- Convert to decimal: 3 ÷ 5 = 0.6
- Convert to percent: 0.6 × 100 = 60%
→ Decimal: 0.6, Percent: 60%

---

Row 2: Decimal = 0.64
- Convert to percent: 0.64 × 100 = 64%
- Convert to fraction: 0.64 = 64/100 → simplify by dividing numerator and denominator by 4 → 16/25
→ Fraction: 16/25, Percent: 64%

---

Row 3: Percent = 55%
- Convert to decimal: 55 ÷ 100 = 0.55
- Convert to fraction: 55/100 → divide by 5 → 11/20
→ Fraction: 11/20, Decimal: 0.55

---

Row 4: Decimal = 0.16
- Convert to percent: 0.16 × 100 = 16%
- Convert to fraction: 0.16 = 16/100 → divide by 4 → 4/25
→ Fraction: 4/25, Percent: 16%

---

Row 5: Fraction = 17/100
- Convert to decimal: 17 ÷ 100 = 0.17
- Convert to percent: 0.17 × 100 = 17%
→ Decimal: 0.17, Percent: 17%

---

Row 6: Decimal = 0.35
- Convert to percent: 0.35 × 100 = 35%
- Convert to fraction: 0.35 = 35/100 → divide by 5 → 7/20
→ Fraction: 7/20, Percent: 35%

---

Row 7: Percent = 28%
- Convert to decimal: 28 ÷ 100 = 0.28
- Convert to fraction: 28/100 → divide by 4 → 7/25
→ Fraction: 7/25, Decimal: 0.28

---

Row 8: Percent = 62.5%
- Convert to decimal: 62.5 ÷ 100 = 0.625
- Convert to fraction: 62.5/100 = 625/1000 → divide by 125 → 5/8
→ Fraction: 5/8, Decimal: 0.625

---

Row 9: Decimal = 0.59
- Convert to percent: 0.59 × 100 = 59%
- Convert to fraction: 0.59 = 59/100 (already simplified)
→ Fraction: 59/100, Percent: 59%

---

Row 10: Fraction = 4/7
- Convert to decimal: 4 ÷ 7 ≈ 0.5714 (round to 4 decimal places)
- Convert to percent: 0.5714 × 100 ≈ 57.14%
→ Decimal: 0.5714, Percent: 57.14%

---

Row 11: Decimal = 0.44
- Convert to percent: 0.44 × 100 = 44%
- Convert to fraction: 0.44 = 44/100 → divide by 4 → 11/25
→ Fraction: 11/25, Percent: 44%

---

Row 12: Percent = 32%
- Convert to decimal: 32 ÷ 100 = 0.32
- Convert to fraction: 32/100 → divide by 4 → 8/25
→ Fraction: 8/25, Decimal: 0.32

---

Row 13: Fraction = 3/2
- Convert to decimal: 3 ÷ 2 = 1.5
- Convert to percent: 1.5 × 100 = 150%
→ Decimal: 1.5, Percent: 150%

---

Row 14: Decimal = 0.824
- Convert to percent: 0.824 × 100 = 82.4%
- Convert to fraction: 0.824 = 824/1000 → divide by 8 → 103/125
→ Fraction: 103/125, Percent: 82.4%

---

Row 15: Decimal = 0.73
- Convert to percent: 0.73 × 100 = 73%
- Convert to fraction: 0.73 = 73/100 (already simplified)
→ Fraction: 73/100, Percent: 73%

---

Row 16: Fraction = 1 3/4
- First, convert to improper fraction: 1 3/4 = (4×1 + 3)/4 = 7/4
- Convert to decimal: 7 ÷ 4 = 1.75
- Convert to percent: 1.75 × 100 = 175%
→ Decimal: 1.75, Percent: 175%

---

Row 17: Percent = 148%
- Convert to decimal: 148 ÷ 100 = 1.48
- Convert to fraction: 148/100 → divide by 4 → 37/25
→ Fraction: 37/25, Decimal: 1.48

---

Final Answer:
The completed table is as follows:

| 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 | 1.75 | 175% |
| 37/25 | 1.48 | 148% |
Parent Tip: Review the logic above to help your child master the concept of change percent to decimal worksheet.
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