Fractions, decimals and percentages are all ways of expressing numbers. Each can be converted from one to another.
Click for a 
of commonly used percentages, decimals and fractions.
Methods of Conversion
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Conversion
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Method
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Example
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| Fractions to Decimals |
To convert a fraction into a decimal, divide the numerator by the denominator.
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3⁄4 = 3 ÷ 4 = 0.75 21⁄2 = 5⁄2 = 5 ÷ 2 = 2.5 |
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Decimals to Fractions
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To convert a decimal into a fraction, put the digits after the decimal point as the numerator, and put 10, 100, 1000 ... (depending on the number of decimal places) as the denominator.
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0.4 = 4⁄10 = 2⁄5 0.75 = 75⁄100 = 3⁄4 |
| Decimals to Percentages | To convert a decimal to a percentage, multiply the decimal by 100.
This is done by moving the decimal point two places to the right. |
0.25 = 0.25 × 100% = 25% 1.625 = 1.625 × 100% = 162.5% |
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Percentages to Decimals |
To convert a percentage to a decimal, divide the percentage by 100. This is done by moving the decimal point two places to the left. |
35% = 35 ÷ 100 = 0.35 6% = 6 ÷ 100 = 0.06 |
| Fractions to Percentages | To convert a fraction to a percentage, multipy the fraction by 100. |
1⁄4 = 1⁄4 × 100% = 25% 9⁄8 = 9⁄8 × 100% = 112.5% |
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Percentages to Fractions |
To convert a percentage to a fraction, divide the percentage by 100. |
30% = 30⁄100 = 3⁄10 150% = 150⁄100 = 3⁄2 |
Try this activity to practice converting between decimals, fractions and percentages.
Summary
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For help checking your decimal <---> fraction conversions: 
Conversions by Calculator
Using a typical scientific calculator.
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Conversion
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Example
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Calculator
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| Fractions to Decimals | Change 3⁄16 to a decimal |
or
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Decimals to Fractions
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Change 0.56 to a fraction |
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| Decimals to Percentages |
Change 0.45 to a percentage |
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Percentages to Decimals |
Change 83% to a decimal |
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| Fractions to Percentages | Change 19⁄25 to a percentage |         76 |
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Percentages to Fractions |
Change 74% to a fraction |     37/50 |
