Worksheet for converting fractions, decimals, and percents.

Let's solve each part of the worksheet step by step. The goal is to convert between fractions, decimals, and percents.

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Key Conversions:

- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100 and add % sign.
- Percent → Decimal: Divide by 100.
- Percent → Fraction: Write over 100 and simplify.
- Decimal → Fraction: Write as fraction over power of 10, then simplify.

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Now, let’s fill in the table:

| Letter | Fraction | Decimal | Percent |
|--------|----------|---------|---------|
| a. | 15/100 | 0.15 | |
| b. | 73/100 | | 73% |
| c. | | | 39% |
| d. | 4/100 | | |
| e. | | 0.77 | |
| f. | | | 46% |
| g. | 50/100 | | |
| h. | | 0.06 | |
| i. | | | 80% |
| j. | 26/100 | | |

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Solving Each Row:

#### a.
- Fraction: $ \frac{15}{100} $
- Decimal: $ 15 ÷ 100 = 0.15 $ ✔ (already given)
- Percent: $ 0.15 × 100 = 15\% $

✔ Answer: 15%

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#### b.
- Fraction: $ \frac{73}{100} $
- Decimal: $ 73 ÷ 100 = 0.73 $
- Percent: 73% ✔ (given)

✔ Answer: 0.73

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#### c.
- Percent: 39%
- Decimal: $ 39 ÷ 100 = 0.39 $
- Fraction: $ \frac{39}{100} $ (already simplified)

✔ Answer: $ \frac{39}{100} $, 0.39

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#### d.
- Fraction: $ \frac{4}{100} $
- Decimal: $ 4 ÷ 100 = 0.04 $
- Percent: $ 0.04 × 100 = 4\% $

✔ Answer: 0.04, 4%

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#### e.
- Decimal: 0.77
- Fraction: $ \frac{77}{100} $ (since 0.77 = 77/100)
- Percent: $ 0.77 × 100 = 77\% $

✔ Answer: $ \frac{77}{100} $, 77%

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#### f.
- Percent: 46%
- Decimal: $ 46 ÷ 100 = 0.46 $
- Fraction: $ \frac{46}{100} = \frac{23}{50} $ (simplify by dividing numerator and denominator by 2)

✔ Answer: $ \frac{23}{50} $, 0.46

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#### g.
- Fraction: $ \frac{50}{100} $
- Decimal: $ 50 ÷ 100 = 0.50 $
- Percent: $ 0.50 × 100 = 50\% $

✔ Answer: 0.50, 50%

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#### h.
- Decimal: 0.06
- Fraction: $ \frac{6}{100} = \frac{3}{50} $ (simplify by dividing by 2)
- Percent: $ 0.06 × 100 = 6\% $

✔ Answer: $ \frac{3}{50} $, 6%

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#### i.
- Percent: 80%
- Decimal: $ 80 ÷ 100 = 0.80 $
- Fraction: $ \frac{80}{100} = \frac{4}{5} $ (simplify by dividing by 20)

✔ Answer: $ \frac{4}{5} $, 0.80

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#### j.
- Fraction: $ \frac{26}{100} $
- Decimal: $ 26 ÷ 100 = 0.26 $
- Percent: $ 0.26 × 100 = 26\% $

✔ Answer: 0.26, 26%

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✔ Final Completed Table:

| Letter | Fraction | Decimal | Percent |
|--------|--------------|---------|---------|
| a. | $ \frac{15}{100} $ | 0.15 | 15% |
| b. | $ \frac{73}{100} $ | 0.73 | 73% |
| c. | $ \frac{39}{100} $ | 0.39 | 39% |
| d. | $ \frac{4}{100} $ | 0.04 | 4% |
| e. | $ \frac{77}{100} $ | 0.77 | 77% |
| f. | $ \frac{23}{50} $ | 0.46 | 46% |
| g. | $ \frac{50}{100} $ | 0.50 | 50% |
| h. | $ \frac{3}{50} $ | 0.06 | 6% |
| i. | $ \frac{4}{5} $ | 0.80 | 80% |
| j. | $ \frac{26}{100} $ | 0.26 | 26% |

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✔ Summary:

This worksheet helps practice converting between fractions, decimals, and percents using simple rules:
- To convert decimal to percent: Multiply by 100.
- To convert percent to decimal: Divide by 100.
- To convert fraction to decimal: Divide numerator by denominator.
- To convert decimal to fraction: Write as tenths, hundredths, etc., then simplify.

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