Math worksheet for converting between fractions, decimals, and percentages, featuring tables with missing values to be filled in.

Let’s work through each table one by one, filling in the missing values by converting between decimals, fractions, and percentages.

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Table 1: Decimal ↔ Percentage

We know:
- To convert decimal → percentage: multiply by 100
- To convert percentage → decimal: divide by 100

Given:
- 0.01 → ?% → 0.01 × 100 = 1%
- 0.58 → ?% → 0.58 × 100 = 58%
- 0.09 → ?% → 0.09 × 100 = 9%
- ? → 6% → 6 ÷ 100 = 0.06
- ? → 0.2% → 0.2 ÷ 100 = 0.002
- ? → 1.5% → 1.5 ÷ 100 = 0.015
- ? → ½% → 0.5 ÷ 100 = 0.005

✔ Table 1 filled:

| Decimal | 0.01 | 0.58 | 0.09 | 0.06 | 0.002 | 0.015 | 0.005 |
|---------|------|------|------|------|-------|-------|-------|
| Percentage | 1% | 58% | 9% | 6% | 0.2% | 1.5% | ½% |

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Table 2: Fraction ↔ Percentage

We know:
- Fraction → percentage: divide numerator by denominator, then × 100
- Percentage → fraction: write over 100, simplify if possible

Given:
- ¼ → ?% → 1 ÷ 4 = 0.25 → 0.25 × 100 = 25%
- ¹⁄₁₀ → ?% → 1 ÷ 10 = 0.1 → 0.1 × 100 = 10%
- ³⁄₁₀₀ → ?% → 3 ÷ 100 = 0.03 → 0.03 × 100 = 3%
- ? → 50% → 50/100 = ½
- ? → 17% → ¹⁷⁄₁₀₀
- ? → 90% → 90/100 = ⁹⁄₁₀
- ? → 1% → ¹⁄₁₀₀

✔ Table 2 filled:

| Fraction | ¼ | ¹⁄₁₀ | ³⁄₁₀₀ | ½ | ¹⁷⁄₁₀₀ | ⁹⁄₁₀ | ¹⁄₁₀₀ |
|----------|----|------|--------|-----|---------|------|--------|
| Percentage | 25% | 10% | 3% | 50% | 17% | 90% | 1% |

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Table 3: Fraction ↔ Percentage

Given:
- ? → 20% → 20/100 = ¹⁄₅
- ? → 80% → 80/100 = ⁴⁄₅
- ? → 15% → 15/100 = ³⁄₂₀
- ³⁄₅ → ?% → 3 ÷ 5 = 0.6 → 0.6 × 100 = 60%
- ¹⁄₅₀ → ?% → 1 ÷ 50 = 0.02 → 0.02 × 100 = 2%
- ¹²⁄₂₅ → ?% → 12 ÷ 25 = 0.48 → 0.48 × 100 = 48%
- ⁷⁄₂₀ → ?% → 7 ÷ 20 = 0.35 → 0.35 × 100 = 35%

✔ Table 3 filled:

| Fraction | ¹⁄₅ | ⁴⁄₅ | ³⁄₂₀ | ³⁄₅ | ¹⁄₅₀ | ¹²⁄₂₅ | ⁷⁄₂₀ |
|----------|-----|-----|------|-----|------|-------|------|
| Percentage | 20% | 80% | 15% | 60% | 2% | 48% | 35% |

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Table 4: Fraction → Decimal

We divide numerator by denominator.

- ¹⁄₃ → 1 ÷ 3 = 0.333... (repeating) → usually written as 0.3̅ or approximated to 0.333
- ²⁄₃ → 2 ÷ 3 = 0.666... → 0.6̅
- ¹⁄₉ → 1 ÷ 9 = 0.111... → 0.1̅
- ¹⁄₆ → 1 ÷ 6 = 0.1666... → 0.16̅
- ⁵⁄₆ → 5 ÷ 6 = 0.8333... → 0.83̅
- ¹⁄₁₁ → 1 ÷ 11 = 0.090909... → 0.0̅9̅
- ³⁄₇ → 3 ÷ 7 ≈ 0.428571... (repeating every 6 digits) → often rounded to 0.4286 or kept as repeating decimal

For school level, we can write them as repeating decimals with bar notation or round to 3–4 decimal places. Since the worksheet doesn’t specify, I’ll use standard repeating decimal notation where applicable.

✔ Table 4 filled:

| Fraction | ¹⁄₃ | ²⁄₃ | ¹⁄₉ | ¹⁄₆ | ⁵⁄₆ | ¹⁄₁₁ | ³⁄₇ |
|----------|-----|-----|-----|-----|-----|------|-----|
| Decimal | 0.3̅ | 0.6̅ | 0.1̅ | 0.16̅ | 0.83̅ | 0.0̅9̅ | 0.428571̅ |

*(Note: For ³⁄₇, since it’s a long repeat, sometimes students are told to round — but unless specified, exact repeating form is best.)*

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Final Answer:

Table 1:
Decimal: 0.01, 0.58, 0.09, 0.06, 0.002, 0.015, 0.005
Percentage: 1%, 58%, 9%, 6%, 0.2%, 1.5%, ½%

Table 2:
Fraction: ¼, ¹⁄₁₀, ³⁄₁₀₀, ½, ¹⁷⁄₁₀₀, ⁹⁄₁₀, ¹⁄₁₀₀
Percentage: 25%, 10%, 3%, 50%, 17%, 90%, 1%

Table 3:
Fraction: ¹⁄₅, ⁴⁄₅, ³⁄₂₀, ³⁄₅, ¹⁄₅₀, ¹²⁄₂₅, ⁷⁄₂₀
Percentage: 20%, 80%, 15%, 60%, 2%, 48%, 35%

Table 4:
Fraction: ¹⁄₃, ²⁄₃, ¹⁄₉, ¹⁄₆, ⁵⁄₆, ¹⁄₁₁, ³⁄₇
Decimal: 0.3̅, 0.6̅, 0.1̅, 0.16̅, 0.83̅, 0.0̅9̅, 0.428571̅