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
Here's the completed table with all missing values filled in, along with a clear explanation for each conversion.
---
| 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% |
| 1 ³⁄₄ | 1.75 | 175% |
| ³⁷⁄₂₅ | 1.48 | 148% |
---
## 📚 Explanation of Conversions:
There are three main conversions you need to know:
---
Divide the numerator by the denominator.
> Example: ³⁄₅ = 3 ÷ 5 = 0.6
---
Multiply the decimal by 100 and add the % sign.
> Example: 0.6 × 100 = 60%
---
Write the percent as a fraction over 100, then simplify.
> Example: 55% = ⁵⁵⁄₁₀₀ = ¹¹⁄₂₀ (simplified)
---
## 🧮 Step-by-Step Solutions for Each Row:
---
Row 1: ³⁄₅ → ? → ?
- Decimal: 3 ÷ 5 = 0.6
- Percent: 0.6 × 100 = 60%
---
Row 2: ? → 0.64 → ?
- Fraction: 0.64 = ⁶⁴⁄₁₀₀ = ¹⁶⁄₂₅ (divide numerator & denominator by 4)
- Percent: 0.64 × 100 = 64%
---
Row 3: ? → ? → 55%
- Fraction: 55% = ⁵⁵⁄₁₀₀ = ¹¹⁄₂₀
- Decimal: 11 ÷ 20 = 0.55
---
Row 4: ? → 0.16 → ?
- Fraction: 0.16 = ¹⁶⁄₁₀₀ = ⁴⁄₂₅
- Percent: 0.16 × 100 = 16%
---
Row 5: ¹⁷⁄₁₀₀ → ? → ?
- Decimal: 17 ÷ 100 = 0.17
- Percent: 0.17 × 100 = 17%
---
Row 6: ? → 0.35 → ?
- Fraction: 0.35 = ³⁵⁄₁₀₀ = ⁷⁄₂₀
- Percent: 0.35 × 100 = 35%
---
Row 7: ? → ? → 28%
- Fraction: 28% = ²⁸⁄₁₀₀ = ⁷⁄₂₅
- Decimal: 7 ÷ 25 = 0.28
---
Row 8: ? → ? → 62.5%
- Fraction: 62.5% = ⁶²⁵⁄₁₀₀₀ = ⁵⁄₈ (divide numerator & denominator by 125)
- Decimal: 5 ÷ 8 = 0.625
---
Row 9: ? → 0.59 → ?
- Fraction: 0.59 = ⁵⁹⁄₁₀₀ (already simplified)
- Percent: 0.59 × 100 = 59%
---
Row 10: ⁴⁄₇ → ? → ?
- Decimal: 4 ÷ 7 ≈ 0.571 (rounded to 3 decimal places)
- Percent: 0.571 × 100 ≈ 57.1%
*(Note: ⁴⁄₇ is a repeating decimal: 0.571428... — we round for practical purposes)*
---
Row 11: ? → 0.44 → ?
- Fraction: 0.44 = ⁴⁴⁄₁₀₀ = ¹¹⁄₂₅
- Percent: 0.44 × 100 = 44%
---
Row 12: ? → ? → 32%
- Fraction: 32% = ³²⁄₁₀₀ = ⁸⁄₂₅
- Decimal: 8 ÷ 25 = 0.32
---
Row 13: ³⁄₂ → ? → ?
- Decimal: 3 ÷ 2 = 1.5
- Percent: 1.5 × 100 = 150%
---
Row 14: ? → 0.824 → ?
- Fraction: 0.824 = ⁸²⁴⁄₁₀₀₀ = ¹⁰³⁄₁₂₅ (divide numerator & denominator by 8)
- Percent: 0.824 × 100 = 82.4%
---
Row 15: ? → 0.73 → ?
- Fraction: 0.73 = ⁷³⁄₁₀₀ (already simplified)
- Percent: 0.73 × 100 = 73%
---
Row 16: 1 ³⁄₄ → ? → ?
- Convert mixed number to improper fraction: 1 ³⁄₄ = ⁷⁄₄
- Decimal: 7 ÷ 4 = 1.75
- Percent: 1.75 × 100 = 175%
---
Row 17: ? → ? → 148%
- Fraction: 148% = ¹⁴⁸⁄₁₀₀ = ³⁷⁄₂₅ (divide by 4)
- Decimal: 37 ÷ 25 = 1.48
---
✔ All conversions are now complete!
This sheet reinforces understanding that fractions, decimals, and percents are just different ways of expressing the same value. Practice converting between them helps build fluency in math!
Let me know if you’d like a printable version or practice quiz!
---
✔ 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 | ≈0.571 | ≈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% |
| 1 ³⁄₄ | 1.75 | 175% |
| ³⁷⁄₂₅ | 1.48 | 148% |
---
## 📚 Explanation of Conversions:
There are three main conversions you need to know:
---
🔁 1. Fraction → Decimal
Divide the numerator by the denominator.
> Example: ³⁄₅ = 3 ÷ 5 = 0.6
---
🔁 2. Decimal → Percent
Multiply the decimal by 100 and add the % sign.
> Example: 0.6 × 100 = 60%
---
🔁 3. Percent → Fraction
Write the percent as a fraction over 100, then simplify.
> Example: 55% = ⁵⁵⁄₁₀₀ = ¹¹⁄₂₀ (simplified)
---
## 🧮 Step-by-Step Solutions for Each Row:
---
Row 1: ³⁄₅ → ? → ?
- Decimal: 3 ÷ 5 = 0.6
- Percent: 0.6 × 100 = 60%
---
Row 2: ? → 0.64 → ?
- Fraction: 0.64 = ⁶⁴⁄₁₀₀ = ¹⁶⁄₂₅ (divide numerator & denominator by 4)
- Percent: 0.64 × 100 = 64%
---
Row 3: ? → ? → 55%
- Fraction: 55% = ⁵⁵⁄₁₀₀ = ¹¹⁄₂₀
- Decimal: 11 ÷ 20 = 0.55
---
Row 4: ? → 0.16 → ?
- Fraction: 0.16 = ¹⁶⁄₁₀₀ = ⁴⁄₂₅
- Percent: 0.16 × 100 = 16%
---
Row 5: ¹⁷⁄₁₀₀ → ? → ?
- Decimal: 17 ÷ 100 = 0.17
- Percent: 0.17 × 100 = 17%
---
Row 6: ? → 0.35 → ?
- Fraction: 0.35 = ³⁵⁄₁₀₀ = ⁷⁄₂₀
- Percent: 0.35 × 100 = 35%
---
Row 7: ? → ? → 28%
- Fraction: 28% = ²⁸⁄₁₀₀ = ⁷⁄₂₅
- Decimal: 7 ÷ 25 = 0.28
---
Row 8: ? → ? → 62.5%
- Fraction: 62.5% = ⁶²⁵⁄₁₀₀₀ = ⁵⁄₈ (divide numerator & denominator by 125)
- Decimal: 5 ÷ 8 = 0.625
---
Row 9: ? → 0.59 → ?
- Fraction: 0.59 = ⁵⁹⁄₁₀₀ (already simplified)
- Percent: 0.59 × 100 = 59%
---
Row 10: ⁴⁄₇ → ? → ?
- Decimal: 4 ÷ 7 ≈ 0.571 (rounded to 3 decimal places)
- Percent: 0.571 × 100 ≈ 57.1%
*(Note: ⁴⁄₇ is a repeating decimal: 0.571428... — we round for practical purposes)*
---
Row 11: ? → 0.44 → ?
- Fraction: 0.44 = ⁴⁴⁄₁₀₀ = ¹¹⁄₂₅
- Percent: 0.44 × 100 = 44%
---
Row 12: ? → ? → 32%
- Fraction: 32% = ³²⁄₁₀₀ = ⁸⁄₂₅
- Decimal: 8 ÷ 25 = 0.32
---
Row 13: ³⁄₂ → ? → ?
- Decimal: 3 ÷ 2 = 1.5
- Percent: 1.5 × 100 = 150%
---
Row 14: ? → 0.824 → ?
- Fraction: 0.824 = ⁸²⁴⁄₁₀₀₀ = ¹⁰³⁄₁₂₅ (divide numerator & denominator by 8)
- Percent: 0.824 × 100 = 82.4%
---
Row 15: ? → 0.73 → ?
- Fraction: 0.73 = ⁷³⁄₁₀₀ (already simplified)
- Percent: 0.73 × 100 = 73%
---
Row 16: 1 ³⁄₄ → ? → ?
- Convert mixed number to improper fraction: 1 ³⁄₄ = ⁷⁄₄
- Decimal: 7 ÷ 4 = 1.75
- Percent: 1.75 × 100 = 175%
---
Row 17: ? → ? → 148%
- Fraction: 148% = ¹⁴⁸⁄₁₀₀ = ³⁷⁄₂₅ (divide by 4)
- Decimal: 37 ÷ 25 = 1.48
---
✔ All conversions are now complete!
This sheet reinforces understanding that fractions, decimals, and percents are just different ways of expressing the same value. Practice converting between them helps build fluency in math!
Let me know if you’d like a printable version or practice quiz!
Parent Tip: Review the logic above to help your child master the concept of percents fractions and decimals worksheet 7th grade.
