Math worksheet for converting between percents, decimals, and fractions.

Let’s go step by step through each section of the worksheet. I’ll solve every problem carefully and check my work as I go.

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Convert Decimal to Percent

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

- 1.55 × 100 = 155%
- 0.86 × 100 = 86%
- 0.4 × 100 = 40%
- 1.89 × 100 = 189%
- 0.963 × 100 = 96.3%
- 0.621 × 100 = 62.1%

✔ All checked — correct.

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Convert Percent to Decimal

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

- 184% → 184 ÷ 100 = 1.84
- 83% → 83 ÷ 100 = 0.83
- 35% → 35 ÷ 100 = 0.35
- 34.2% → 34.2 ÷ 100 = 0.342
- 29.2% → 29.2 ÷ 100 = 0.292
- 144% → 144 ÷ 100 = 1.44

✔ All checked — correct.

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Convert Decimal to Fraction

Write the decimal as a fraction over 10, 100, or 1000 depending on decimal places, then simplify.

- 0.91 = 91/100 → already simplified → 91/100
- 1.35 = 135/100 → divide numerator and denominator by 5 → 27/20 → 27/20 or 1 7/20
- 1.87 = 187/100 → already simplified → 187/100 or 1 87/100
- 0.44 = 44/100 → divide by 4 → 11/25 → 11/25
- 0.723 = 723/1000 → already simplified → 723/1000
- 0.61 = 61/100 → already simplified → 61/100

✔ All checked — correct.

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Convert Fraction to Decimal

Divide the top number by the bottom number.

- 18/10 = 18 ÷ 10 = 1.8
- 4/50 = 4 ÷ 50 = 0.08 → 0.08
- 3/20 = 3 ÷ 20 = 0.15 → 0.15
- 5/8 = 5 ÷ 8 = 0.625 → 0.625
- 17/10 = 17 ÷ 10 = 1.7
- 39/25 = 39 ÷ 25 = 1.56 → 1.56

✔ All checked — correct.

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Convert Fraction to Percent

First convert fraction to decimal, then multiply by 100.

- 3/16 = 0.1875 → ×100 = 18.75%
- 8/10 = 0.8 → ×100 = 80%
- 3/20 = 0.15 → ×100 = 15%
- 33/20 = 1.65 → ×100 = 165%
- 14/20 = 0.7 → ×100 = 70%
- 1/20 = 0.05 → ×100 = 5%

✔ All checked — correct.

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Convert Percent to Fraction

Write percent over 100, then simplify.

- 96.2% = 96.2 / 100 → multiply top and bottom by 10 to remove decimal → 962/1000 → divide by 2 → 481/500
- 61.3% = 61.3 / 100 → ×10 → 613/1000 → already simplified → 613/1000
- 7% = 7/100 → already simplified → 7/100
- 89% = 89/100 → already simplified → 89/100
- 24.2% = 24.2 / 100 → ×10 → 242/1000 → divide by 2 → 121/500
- 106% = 106/100 → divide by 2 → 53/50 or 1 3/50

✔ All checked — correct.

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Final Answer:

Convert Decimal to Percent
1.55 = 155%
0.86 = 86%
0.4 = 40%
1.89 = 189%
0.963 = 96.3%
0.621 = 62.1%

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

Convert Decimal to Fraction
0.91 = 91/100
1.35 = 27/20 (or 1 7/20)
1.87 = 187/100 (or 1 87/100)
0.44 = 11/25
0.723 = 723/1000
0.61 = 61/100

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

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

Convert Percent to Fraction
96.2% = 481/500
61.3% = 613/1000
7% = 7/100
89% = 89/100
24.2% = 121/500
106% = 53/50 (or 1 3/50)