Fractions Decimals Percents Worksheets - Free Printable
Educational worksheet: Fractions Decimals Percents Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Fractions Decimals Percents Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Fractions Decimals Percents Worksheets
Let’s go row by row and convert each value to the other two forms (fraction, decimal, percent). We’ll use simple math rules:
- To turn a fraction into a decimal: divide numerator by denominator.
- To turn a decimal into a percent: multiply by 100 and add %.
- To turn a percent into a decimal: divide by 100.
- To turn a percent into a fraction: write over 100, then simplify.
- To turn a decimal into a fraction: write as fraction over power of 10, then simplify.
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Row 1: Fraction = ³⁄₅
→ Decimal: 3 ÷ 5 = 0.6
→ Percent: 0.6 × 100 = 60%
Row 2: Decimal = 0.64
→ Fraction: 64/100 → simplify → divide top and bottom by 4 → 16/25
→ Percent: 0.64 × 100 = 64%
Row 3: Percent = 55%
→ Decimal: 55 ÷ 100 = 0.55
→ Fraction: 55/100 → simplify → divide by 5 → 11/20
Row 4: Decimal = 0.16
→ Fraction: 16/100 → simplify → divide by 4 → 4/25
→ Percent: 0.16 × 100 = 16%
Row 5: Fraction = ¹⁷⁄₁₀₀
→ Decimal: 17 ÷ 100 = 0.17
→ Percent: 0.17 × 100 = 17%
Row 6: Decimal = 0.35
→ Fraction: 35/100 → simplify → divide by 5 → 7/20
→ Percent: 0.35 × 100 = 35%
Row 7: Percent = 28%
→ Decimal: 28 ÷ 100 = 0.28
→ Fraction: 28/100 → simplify → divide by 4 → 7/25
Row 8: Percent = 62.5%
→ Decimal: 62.5 ÷ 100 = 0.625
→ Fraction: 62.5/100 → multiply top and bottom by 10 to remove decimal → 625/1000 → simplify → divide by 125 → 5/8
Row 9: Decimal = 0.59
→ Fraction: 59/100 (already simplified)
→ Percent: 0.59 × 100 = 59%
Row 10: Fraction = ⁴⁄₇
→ Decimal: 4 ÷ 7 ≈ 0.571 (rounded to 3 decimals)
→ Percent: 0.571 × 100 ≈ 57.1%
Row 11: Decimal = 0.44
→ Fraction: 44/100 → simplify → divide by 4 → 11/25
→ Percent: 0.44 × 100 = 44%
Row 12: Percent = 32%
→ Decimal: 32 ÷ 100 = 0.32
→ Fraction: 32/100 → simplify → divide by 4 → 8/25
Row 13: Fraction = ³⁄₂
→ Decimal: 3 ÷ 2 = 1.5
→ Percent: 1.5 × 100 = 150%
Row 14: Decimal = 0.824
→ Fraction: 824/1000 → simplify → divide by 8 → 103/125
→ Percent: 0.824 × 100 = 82.4%
Row 15: Decimal = 0.73
→ Fraction: 73/100 (already simplified)
→ Percent: 0.73 × 100 = 73%
Row 16: Fraction = 1 ¾ → that’s 1 + 3/4 = 7/4
→ Decimal: 7 ÷ 4 = 1.75
→ Percent: 1.75 × 100 = 175%
Row 17: Percent = 148%
→ Decimal: 148 ÷ 100 = 1.48
→ Fraction: 148/100 → simplify → divide by 4 → 37/25 → or as mixed number: 1 ¹²⁄₂
---
Final Answer:
| 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 | ~0.571 | ~57.1% |
| 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% |
- To turn a fraction into a decimal: divide numerator by denominator.
- To turn a decimal into a percent: multiply by 100 and add %.
- To turn a percent into a decimal: divide by 100.
- To turn a percent into a fraction: write over 100, then simplify.
- To turn a decimal into a fraction: write as fraction over power of 10, then simplify.
---
Row 1: Fraction = ³⁄₅
→ Decimal: 3 ÷ 5 = 0.6
→ Percent: 0.6 × 100 = 60%
Row 2: Decimal = 0.64
→ Fraction: 64/100 → simplify → divide top and bottom by 4 → 16/25
→ Percent: 0.64 × 100 = 64%
Row 3: Percent = 55%
→ Decimal: 55 ÷ 100 = 0.55
→ Fraction: 55/100 → simplify → divide by 5 → 11/20
Row 4: Decimal = 0.16
→ Fraction: 16/100 → simplify → divide by 4 → 4/25
→ Percent: 0.16 × 100 = 16%
Row 5: Fraction = ¹⁷⁄₁₀₀
→ Decimal: 17 ÷ 100 = 0.17
→ Percent: 0.17 × 100 = 17%
Row 6: Decimal = 0.35
→ Fraction: 35/100 → simplify → divide by 5 → 7/20
→ Percent: 0.35 × 100 = 35%
Row 7: Percent = 28%
→ Decimal: 28 ÷ 100 = 0.28
→ Fraction: 28/100 → simplify → divide by 4 → 7/25
Row 8: Percent = 62.5%
→ Decimal: 62.5 ÷ 100 = 0.625
→ Fraction: 62.5/100 → multiply top and bottom by 10 to remove decimal → 625/1000 → simplify → divide by 125 → 5/8
Row 9: Decimal = 0.59
→ Fraction: 59/100 (already simplified)
→ Percent: 0.59 × 100 = 59%
Row 10: Fraction = ⁴⁄₇
→ Decimal: 4 ÷ 7 ≈ 0.571 (rounded to 3 decimals)
→ Percent: 0.571 × 100 ≈ 57.1%
Row 11: Decimal = 0.44
→ Fraction: 44/100 → simplify → divide by 4 → 11/25
→ Percent: 0.44 × 100 = 44%
Row 12: Percent = 32%
→ Decimal: 32 ÷ 100 = 0.32
→ Fraction: 32/100 → simplify → divide by 4 → 8/25
Row 13: Fraction = ³⁄₂
→ Decimal: 3 ÷ 2 = 1.5
→ Percent: 1.5 × 100 = 150%
Row 14: Decimal = 0.824
→ Fraction: 824/1000 → simplify → divide by 8 → 103/125
→ Percent: 0.824 × 100 = 82.4%
Row 15: Decimal = 0.73
→ Fraction: 73/100 (already simplified)
→ Percent: 0.73 × 100 = 73%
Row 16: Fraction = 1 ¾ → that’s 1 + 3/4 = 7/4
→ Decimal: 7 ÷ 4 = 1.75
→ Percent: 1.75 × 100 = 175%
Row 17: Percent = 148%
→ Decimal: 148 ÷ 100 = 1.48
→ Fraction: 148/100 → simplify → divide by 4 → 37/25 → or as mixed number: 1 ¹²⁄₂
---
Final Answer:
| 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 | ~0.571 | ~57.1% |
| 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% |
Parent Tip: Review the logic above to help your child master the concept of decimal fraction percent worksheet.