Converting between Fractions, Decimals, and Percents Worksheets - Free Printable

Let's solve the problem step by step.

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A) Convert the following

#### 1) $\frac{2}{5}$

- Decimal:
Divide numerator by denominator:
$ \frac{2}{5} = 0.4 $

- Percent:
Multiply decimal by 100:
$ 0.4 \times 100 = 40\% $

✔ So:
- Decimal: 0.4
- Percent: 40%

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#### 2) 0.5

- Fraction:
$ 0.5 = \frac{5}{10} = \frac{1}{2} $

- Percent:
$ 0.5 \times 100 = 50\% $

✔ So:
- Fraction: $\frac{1}{2}$
- Percent: 50%

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#### 3) 35%

- Decimal:
Divide by 100:
$ 35\% = \frac{35}{100} = 0.35 $

- Fraction:
$ \frac{35}{100} = \frac{7}{20} $ (simplify by dividing numerator and denominator by 5)

✔ So:
- Decimal: 0.35
- Fraction: $\frac{7}{20}$

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#### 4) $\frac{3}{12}$

First, simplify the fraction:
$ \frac{3}{12} = \frac{1}{4} $

- Percent:
$ \frac{1}{4} = 0.25 $ → $ 0.25 \times 100 = 25\% $

- Decimal:
$ \frac{1}{4} = 0.25 $

✔ So:
- Percent: 25%
- Decimal: 0.25

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B) Complete the table

| | Fractions | Decimals | Percents |
|---|----------|---------|--------|
| 1) | | 0.3 | |
| 2) | $\frac{7}{4}$ | | |
| 3) | | | 2% |
| 4) | | 1.8 | |

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#### 1) Decimal: 0.3

- Fraction:
$ 0.3 = \frac{3}{10} $

- Percent:
$ 0.3 \times 100 = 30\% $

✔ So:
- Fraction: $\frac{3}{10}$
- Percent: 30%

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#### 2) Fraction: $\frac{7}{4}$

- Decimal:
$ \frac{7}{4} = 1.75 $

- Percent:
$ 1.75 \times 100 = 175\% $

✔ So:
- Decimal: 1.75
- Percent: 175%

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#### 3) Percent: 2%

- Decimal:
$ 2\% = \frac{2}{100} = 0.02 $

- Fraction:
$ \frac{2}{100} = \frac{1}{50} $

✔ So:
- Decimal: 0.02
- Fraction: $\frac{1}{50}$

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#### 4) Decimal: 1.8

- Fraction:
$ 1.8 = \frac{18}{10} = \frac{9}{5} $

- Percent:
$ 1.8 \times 100 = 180\% $

✔ So:
- Fraction: $\frac{9}{5}$
- Percent: 180%

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✔ Final Answers

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#### A)

1) $\frac{2}{5}$
- Decimal: 0.4
- Percent: 40%

2) 0.5
- Fraction: $\frac{1}{2}$
- Percent: 50%

3) 35%
- Decimal: 0.35
- Fraction: $\frac{7}{20}$

4) $\frac{3}{12}$
- Percent: 25%
- Decimal: 0.25

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#### B) Completed Table

| | Fractions | Decimals | Percents |
|---|----------|---------|--------|
| 1) | $\frac{3}{10}$ | 0.3 | 30% |
| 2) | $\frac{7}{4}$ | 1.75 | 175% |
| 3) | $\frac{1}{50}$ | 0.02 | 2% |
| 4) | $\frac{9}{5}$ | 1.8 | 180% |

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