Math worksheet for practicing conversions 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%
- 0.521 × 100 = 52.1%

✔ 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, then simplify if possible.

- 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 → doesn’t simplify → 187/100 (or 1 87/100)
- 0.44 = 44/100 → divide by 4 → 11/25 → 11/25
- 0.723 = 723/1000 → doesn’t simplify → 723/1000
- 0.61 = 61/100 → doesn’t simplify → 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 → doesn’t simplify → 613/1000
- 7% = 7/100 → 7/100
- 89% = 89/100 → 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%
0.521 = 52.1%

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
1.87 = 187/100
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