Percent Worksheets | Percent Worksheets for Practice - Free Printable

Let's solve each section of the worksheet step by step. I'll go through each conversion with explanations.

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1. Convert Decimal to Percent

To convert a decimal to a percent, multiply by 100 and add the % sign.

- $ 1.55 = 1.55 \times 100 = 155\% $
- $ 0.4 = 0.4 \times 100 = 40\% $
- $ 0.963 = 0.963 \times 100 = 96.3\% $
- $ 0.86 = 0.86 \times 100 = 86\% $
- $ 1.89 = 1.89 \times 100 = 189\% $
- $ 0.521 = 0.521 \times 100 = 52.1\% $

✔ Answers:
155%, 40%, 96.3%, 86%, 189%, 52.1%

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2. Convert Percent to Decimal

To convert a percent to a decimal, divide by 100 (or move the decimal point two places left).

- $ 184\% = 184 \div 100 = 1.84 $
- $ 35\% = 35 \div 100 = 0.35 $
- $ 29.2\% = 29.2 \div 100 = 0.292 $
- $ 83\% = 83 \div 100 = 0.83 $
- $ 34.2\% = 34.2 \div 100 = 0.342 $
- $ 144\% = 144 \div 100 = 1.44 $

✔ Answers:
1.84, 0.35, 0.292, 0.83, 0.342, 1.44

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3. Convert Decimal to Fraction

Write the decimal as a fraction over 1, then multiply numerator and denominator to eliminate decimals, then simplify.

#### a) $ 0.91 $
- $ = \frac{91}{100} $ → already simplified
✔ $ \frac{91}{100} $

#### b) $ 1.87 $
- $ = \frac{187}{100} $ → improper fraction, or mixed number: $ 1\frac{87}{100} $
✔ $ \frac{187}{100} $ or $ 1\frac{87}{100} $

#### c) $ 0.723 $
- $ = \frac{723}{1000} $ → check if simplifiable: GCF(723,1000)=1
✔ $ \frac{723}{1000} $

#### d) $ 1.35 $
- $ = \frac{135}{100} = \frac{27}{20} $ (divide numerator and denominator by 5)
→ $ 1\frac{7}{20} $
✔ $ \frac{27}{20} $ or $ 1\frac{7}{20} $

#### e) $ 0.44 $
- $ = \frac{44}{100} = \frac{11}{25} $ (divide by 4)
✔ $ \frac{11}{25} $

#### f) $ 0.61 $
- $ = \frac{61}{100} $ → already simplified
✔ $ \frac{61}{100} $

✔ Final answers:
$ \frac{91}{100}, \frac{187}{100}, \frac{723}{1000}, \frac{27}{20}, \frac{11}{25}, \frac{61}{100} $

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4. Convert Fraction to Decimal

Divide numerator by denominator.

#### a) $ \frac{18}{10} = 1.8 $

#### b) $ \frac{3}{20} = 0.15 $

#### c) $ \frac{17}{10} = 1.7 $

#### d) $ \frac{4}{50} = \frac{2}{25} = 0.08 $

#### e) $ \frac{5}{8} = 0.625 $

#### f) $ \frac{39}{25} = 1.56 $

✔ Answers:
1.8, 0.15, 1.7, 0.08, 0.625, 1.56

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5. Convert Fraction to Percent

Convert fraction to decimal first, then multiply by 100.

#### a) $ \frac{3}{16} $
- $ 3 \div 16 = 0.1875 $
- $ 0.1875 \times 100 = 18.75\% $

#### b) $ \frac{3}{20} $
- $ 3 \div 20 = 0.15 $
- $ 0.15 \times 100 = 15\% $

#### c) $ \frac{14}{20} = \frac{7}{10} = 0.7 = 70\% $

#### d) $ \frac{8}{10} = 0.8 = 80\% $

#### e) $ \frac{33}{20} = 1.65 = 165\% $

#### f) $ \frac{1}{20} = 0.05 = 5\% $

✔ Answers:
18.75%, 15%, 70%, 80%, 165%, 5%

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6. Convert Percent to Fraction

Write percent over 100, then simplify.

#### a) $ 96.2\% $
- $ = \frac{96.2}{100} = \frac{962}{1000} = \frac{481}{500} $ (divide by 2)

#### b) $ 7\% = \frac{7}{100} $

#### c) $ 24.2\% = \frac{24.2}{100} = \frac{242}{1000} = \frac{121}{500} $

#### d) $ 61.3\% = \frac{61.3}{100} = \frac{613}{1000} $

#### e) $ 89\% = \frac{89}{100} $

#### f) $ 106\% = \frac{106}{100} = \frac{53}{50} = 1\frac{3}{50} $

✔ Answers:
$ \frac{481}{500}, \frac{7}{100}, \frac{121}{500}, \frac{613}{1000}, \frac{89}{100}, \frac{53}{50} $

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✔ Final Answer Summary:

#### Decimal to Percent
- 1.55 = 155%
- 0.4 = 40%
- 0.963 = 96.3%
- 0.86 = 86%
- 1.89 = 189%
- 0.521 = 52.1%

#### Percent to Decimal
- 184% = 1.84
- 35% = 0.35
- 29.2% = 0.292
- 83% = 0.83
- 34.2% = 0.342
- 144% = 1.44

#### Decimal to Fraction
- 0.91 = 91/100
- 1.87 = 187/100
- 0.723 = 723/1000
- 1.35 = 27/20
- 0.44 = 11/25
- 0.61 = 61/100

#### Fraction to Decimal
- 18/10 = 1.8
- 3/20 = 0.15
- 17/10 = 1.7
- 4/50 = 0.08
- 5/8 = 0.625
- 39/25 = 1.56

#### Fraction to Percent
- 3/16 = 18.75%
- 3/20 = 15%
- 14/20 = 70%
- 8/10 = 80%
- 33/20 = 165%
- 1/20 = 5%

#### Percent to Fraction
- 96.2% = 481/500
- 7% = 7/100
- 24.2% = 121/500
- 61.3% = 613/1000
- 89% = 89/100
- 106% = 53/50

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