Worksheet for practicing converting fractions, decimals, and percents.

Let’s solve each table step by step. We’ll convert between decimals, fractions, and percentages as needed.

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First Table: Decimal ↔ Percentage

We know:
- To go from decimal to percentage → multiply by 100 and add % sign.
- To go from percentage to decimal → divide by 100 (remove % sign).

Given:

Decimal row:
0.01 → ?% → 1%
0.58 → ?% → 58%
0.09 → ?% → 9%

Percentage row:
6% → ? → 0.06
0.2% → ? → 0.002
1.5% → ? → 0.015
½% = 0.5% → ? → 0.005

So first table 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% |

Wait — the original table has 7 columns after “Decimal”/“Percentage” labels? Let me count again.

Actually, looking at structure:

The table has 8 columns total including the label column.

Label column + 7 data columns.

In first table:

Decimal row given: 0.01, 0.58, 0.09 → then 4 blanks

Percentage row given: blank, blank, blank, 6%, 0.2%, 1.5%, ½%

So we fill:

Column 1: Decimal=0.01 → Percent=1%

Column 2: Decimal=0.58 → Percent=58%

Column 3: Decimal=0.09 → Percent=9%

Column 4: Percent=6% → Decimal=0.06

Column 5: Percent=0.2% → Decimal=0.002

Column 6: Percent=1.5% → Decimal=0.015

Column 7: Percent=½% = 0.5% → Decimal=0.005

✔ First table done.

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Second Table: Fraction ↔ Percentage

Given:

Fraction row: ¼, ¹⁄₁₀, ³⁄₁₀₀, ?, ?, ?, ?

Percentage row: ?, ?, ?, 50%, 17%, 90%, 1%

Convert fractions to percent:

¼ = 0.25 → 25%

¹⁄₁₀ = 0.1 → 10%

³⁄₁₀₀ = 0.03 → 3%

Now reverse:

50% = 50/100 = ½

17% = 17/100 (already simplified)

90% = 90/100 = 9/10

1% = 1/100

So second table:

| Fraction | ¼ | ¹⁄₁₀ | ³₁₀₀ | ½ | ¹⁷⁄₁₀₀ | ⁹⁄₁₀ | ¹⁄₁₀₀ |
|--------------|-------|--------|--------|-------|--------|--------|--------|
| Percentage | 25% | 10% | 3% | 50% | 17% | 90% | 1% |

✔ Second table done.

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Third Table: Fraction ↔ Percentage

Given:

Fraction row: ?, ?, ?, ³⁄₅, ¹⁄₅₀, ¹²⁄₂₅, ⁷⁄₂₀

Percentage row: 20%, 80%, 15%, ?, ?, ?, ?

Reverse:

20% = 20/100 = 1/5

80% = 80/100 = 4/5

15% = 15/100 = 3/20

Now forward:

³⁄₅ = 0.6 → 60%

¹⁄₅₀ = 0.02 → 2%

¹²⁄₂₅ = 12 ÷ 25 = 0.48 → 48%

⁄₂₀ = 7 ÷ 20 = 0.35 → 35%

So third table:

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

✔ Third table done.

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Fourth Table: Fraction → Decimal

Given fractions:

¹⁄₃, ²⁄₃, ¹⁄₉, ¹⁄₆, ⁄₆, ¹₁₁, ³⁄₇

Convert each to decimal (round to reasonable places if repeating):

¹⁄₃ = 0.333... ≈ 0.333 (or leave as recurring, but for school level, often 3 decimal places)

But let’s be precise where possible.

Actually, since it says “Decimal”, and no instruction on rounding, we can write exact or rounded appropriately.

Standard practice in such worksheets is to use 3 decimal places unless specified.

¹⁄₃ = 0.333... → 0.333

²⁄₃ = 0.666... → 0.667 (rounded up)

¹₉ = 0.111... → 0.111

¹⁄₆ = 0.1666... → 0.167

⁵⁄₆ = 0.8333... → 0.833

¹⁄₁₁ = 0.090909... → 0.091 (rounded)

³⁄₇ ≈ 0.42857... → 0.429 (rounded)

Alternatively, some teachers prefer exact repeating notation, but since the other tables used finite decimals, likely expect rounded to 3 decimal places.

Let me verify with common conversions:

¹⁄₃ = 0.\overline{3} → typically written as 0.333 in such contexts

Similarly:

²⁄₃ = 0.667

¹₉ = 0.111

¹⁄₆ = 0.167

⁵⁄₆ = 0.833

¹⁄₁₁ = 0.091 (since 1÷11=0.090909→ rounds to 0.091)

³⁄₇ = 0.428571... → rounds to 0.429

Yes.

So fourth table:

| Fraction | ¹⁄₃ | ²⁄₃ | ¹⁄₉ | ¹⁄₆ | ⁵⁄₆ | ¹⁄₁₁ | ³⁄₇ |
|--------------|-------|-------|-------|-------|-------|-------|-------|
| Decimal | 0.333 | 0.667 | 0.111 | 0.167 | 0.833 | 0.091 | 0.429 |

✔ All tables solved.

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Final Answer:

Here are all the missing values filled in order by table:

Table 1 (Decimal ↔ Percentage):

Missing Decimals: 0.06, 0.002, 0.015, 0.005
Missing Percentages: 1%, 58%, 9%

Table 2 (Fraction ↔ Percentage):

Missing Fractions: ½, ¹⁷⁄₁₀₀, ⁹⁄₁₀, ¹⁄₁₀₀
Missing Percentages: 25%, 10%, 3%

Table 3 (Fraction ↔ Percentage):

Missing Fractions: ¹⁄₅, ⁴⁄₅, ³⁄₂₀
Missing Percentages: 60%, 2%, 48%, 35%

Table 4 (Fraction → Decimal):

Decimals: 0.333, 0.667, 0.111, 0.167, 0.833, 0.091, 0.429

To present clearly as per worksheet layout:

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Completed Tables:

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 | ¹²⁄₂ | ⁷⁄₂₀ |
|--------------|-------|-------|--------|-------|-------|-------|-------|
| Percentage | 20% | 80% | 15% | 60% | 2% | 48% | 35% |

Table 4:

| Fraction | ¹⁄₃ | ²₃ | ¹⁄₉ | ¹⁄₆ | ⁵⁄₆ | ¹⁄₁₁ | ³⁄₇ |
|--------------|-------|-------|-------|-------|-------|-------|-------|
| Decimal | 0.333 | 0.667 | 0.111 | 0.167 | 0.833 | 0.091 | 0.429 |

All gaps filled correctly.