Converting Decimal, Fraction & Percentage Worksheets - Free Printable

Let's solve the problem step by step. We are given a chart with three columns: Percent, Decimal, and Fraction. For each row, we need to fill in the missing values so that all three representations (percent, decimal, fraction) are equivalent.

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🔁 Conversion Rules:

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

We'll go through each row one by one.

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✔ Row 1: Fraction = $ \frac{1}{7} $

- Decimal: $ \frac{1}{7} \approx 0.142857 $ (repeating)
- Percent: $ 0.142857 \times 100 \approx 14.2857\% $

So:
- Percent: $ 14.\overline{285714}\% $ or approximately 14.29%
- Decimal: 0.1429 (rounded to 4 decimals)

> But since it's exact, we can write:
> - Percent: $ \frac{100}{7}\% = 14\frac{2}{7}\% $
> - Decimal: $ \frac{1}{7} \approx 0.1429 $

But let’s keep it precise.

✔ Final Answer:
- Percent: $ 14\frac{2}{7}\% $ or $ \frac{100}{7}\% $
- Decimal: $ 0.142857... $ → round to 0.1429

But for simplicity, use 0.143 if rounding to 3 decimals.

But let's proceed carefully.

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✔ Row 2: Decimal = 6.20

- Percent: $ 6.20 \times 100 = 620\% $
- Fraction: $ 6.20 = \frac{620}{100} = \frac{62}{10} = \frac{31}{5} = 6\frac{1}{5} $

✔ So:
- Percent: 620%
- Fraction: $ \boxed{\frac{31}{5}} $ or $ 6\frac{1}{5} $

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✔ Row 3: Fraction = $ 2\frac{1}{7} = \frac{15}{7} $

- Decimal: $ \frac{15}{7} \approx 2.142857 $
- Percent: $ 2.142857 \times 100 = 214.2857\% $

So:
- Decimal: 2.1429 (approx.)
- Percent: 214.29% (approx.)

Or exactly:
- Percent: $ \frac{15}{7} \times 100 = \frac{1500}{7} \% = 214\frac{2}{7}\% $

✔ So:
- Decimal: $ \boxed{2.1429} $
- Percent: $ \boxed{214\frac{2}{7}\%} $

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✔ Row 4: Percent = $ 44\frac{1}{7}\% $

First, convert mixed number:
- $ 44\frac{1}{7} = \frac{309}{7} \% $

Now convert percent to decimal:
- $ \frac{309}{7} \div 100 = \frac{309}{700} \approx 0.44142857 $

So:
- Decimal: $ \boxed{0.4414} $ (approx.)
- Fraction: $ \frac{309}{700} $ → already simplified?

Check: GCD of 309 and 700?
- 309 = 3 × 103
- 700 = 2² × 5² × 7 → no common factors

So $ \frac{309}{700} $ is simplified.

✔ So:
- Decimal: $ \boxed{0.4414} $
- Fraction: $ \boxed{\frac{309}{700}} $

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✔ Row 5: Fraction = $ \frac{4}{9} $

- Decimal: $ \frac{4}{9} = 0.\overline{4} \approx 0.4444 $
- Percent: $ 0.4444 \times 100 = 44.44\% $

Exactly: $ \frac{4}{9} \times 100 = \frac{400}{9}\% = 44\frac{4}{9}\% $

✔ So:
- Decimal: $ \boxed{0.\overline{4}} $ or 0.4444
- Percent: $ \boxed{44\frac{4}{9}\%} $

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✔ Row 6: Decimal = 0.29

- Percent: $ 0.29 \times 100 = 29\% $
- Fraction: $ \frac{29}{100} $ (already simplified)

✔ So:
- Percent: 29%
- Fraction: $ \boxed{\frac{29}{100}} $

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✔ Row 7: Decimal = 0.09

- Percent: $ 0.09 \times 100 = 9\% $
- Fraction: $ \frac{9}{100} $

✔ So:
- Percent: 9%
- Fraction: $ \boxed{\frac{9}{100}} $

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✔ Row 8: Percent = 30%

- Decimal: $ \frac{30}{100} = 0.30 $
- Fraction: $ \frac{30}{100} = \frac{3}{10} $

✔ So:
- Decimal: 0.30
- Fraction: $ \boxed{\frac{3}{10}} $

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✔ Row 9: Fraction = $ \frac{3}{11} $

- Decimal: $ \frac{3}{11} \approx 0.2727 $ (repeating)
- Percent: $ 0.2727 \times 100 = 27.27\% $

Exactly: $ \frac{3}{11} \times 100 = \frac{300}{11}\% = 27\frac{3}{11}\% $

✔ So:
- Decimal: $ \boxed{0.\overline{27}} $ or 0.2727
- Percent: $ \boxed{27\frac{3}{11}\%} $

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✔ Row 10: Percent = 200%

- Decimal: $ \frac{200}{100} = 2.00 $
- Fraction: $ \frac{200}{100} = 2 = \frac{2}{1} $

✔ So:
- Decimal: 2.00
- Fraction: $ \boxed{2} $ or $ \frac{2}{1} $

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✔ Final Completed Chart:

| # | Percent | Decimal | Fraction |
|---|--------------------|--------------|------------------|
| 1 | $ 14\frac{2}{7}\% $ | 0.1429 | $ \frac{1}{7} $ |
| 2 | 620% | 6.20 | $ \frac{31}{5} $ |
| 3 | $ 214\frac{2}{7}\% $ | 2.1429 | $ 2\frac{1}{7} $ |
| 4 | $ 44\frac{1}{7}\% $ | 0.4414 | $ \frac{309}{700} $ |
| 5 | $ 44\frac{4}{9}\% $ | 0.4444 | $ \frac{4}{9} $ |
| 6 | 29% | 0.29 | $ \frac{29}{100} $ |
| 7 | 9% | 0.09 | $ \frac{9}{100} $ |
| 8 | 30% | 0.30 | $ \frac{3}{10} $ |
| 9 | $ 27\frac{3}{11}\% $ | 0.2727 | $ \frac{3}{11} $ |
|10 | 200% | 2.00 | $ 2 $ or $ \frac{2}{1} $ |

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📌 Notes:

- Decimals are rounded to 4 decimal places where necessary.
- Mixed numbers are converted to improper fractions when needed.
- All conversions are based on standard rules.

Let me know if you want this formatted as a printable table!