Fraction Decimal Percent Chart
Every fraction from 1/2 to 11/12 with its equal decimal and percent. The ones you need most: 1/2 = 0.5 = 50%, 1/4 = 0.25 = 25%, 3/4 = 0.75 = 75%, 1/5 = 0.2 = 20%, 1/8 = 0.125 = 12.5%, 1/10 = 0.1 = 10%, and 1/3 = 0.3 = 33 1/3% (≈ 33.33%).
Fraction → decimal: divide the top number by the bottom number. Decimal → percent: multiply by 100.
Common benchmarks
| Percent | Fraction | Decimal |
|---|---|---|
| 10% | 1/10 | 0.1 |
| 12.5% | 1/8 | 0.125 |
| 20% | 1/5 | 0.2 |
| 25% | 1/4 | 0.25 |
| 33 1/3% | 1/3 | 0.3 |
| 50% | 1/2 | 0.5 |
| 66 2/3% | 2/3 | 0.6 |
| 75% | 3/4 | 0.75 |
Fraction, decimal and percent chart (halves to twelfths)
Fractions are in lowest terms, grouped by denominator. A line over digits means they repeat forever, for example 0.16 = 0.1666…. Tap a row to highlight it. On a phone, swipe the table sideways.
| Fraction | Model | Decimal | Percent | Decimal type |
|---|---|---|---|---|
| 1/2 | 0.5 | 50% | Terminating | |
| 1/3 | 0.3 (≈ 0.3333) | 33 1/3% (≈ 33.33%) | Repeating | |
| 2/3 | 0.6 (≈ 0.6667) | 66 2/3% (≈ 66.67%) | Repeating | |
| 1/4 | 0.25 | 25% | Terminating | |
| 3/4 | 0.75 | 75% | Terminating | |
| 1/5 | 0.2 | 20% | Terminating | |
| 2/5 | 0.4 | 40% | Terminating | |
| 3/5 | 0.6 | 60% | Terminating | |
| 4/5 | 0.8 | 80% | Terminating | |
| 1/6 | 0.16 (≈ 0.1667) | 16 2/3% (≈ 16.67%) | Repeating | |
| 5/6 | 0.83 (≈ 0.8333) | 83 1/3% (≈ 83.33%) | Repeating | |
| 1/7 | 0.142857 (≈ 0.1429) | 14 2/7% (≈ 14.29%) | Repeating | |
| 2/7 | 0.285714 (≈ 0.2857) | 28 4/7% (≈ 28.57%) | Repeating | |
| 3/7 | 0.428571 (≈ 0.4286) | 42 6/7% (≈ 42.86%) | Repeating | |
| 4/7 | 0.571428 (≈ 0.5714) | 57 1/7% (≈ 57.14%) | Repeating | |
| 5/7 | 0.714285 (≈ 0.7143) | 71 3/7% (≈ 71.43%) | Repeating | |
| 6/7 | 0.857142 (≈ 0.8571) | 85 5/7% (≈ 85.71%) | Repeating | |
| 1/8 | 0.125 | 12.5% | Terminating | |
| 3/8 | 0.375 | 37.5% | Terminating | |
| 5/8 | 0.625 | 62.5% | Terminating | |
| 7/8 | 0.875 | 87.5% | Terminating | |
| 1/9 | 0.1 (≈ 0.1111) | 11 1/9% (≈ 11.11%) | Repeating | |
| 2/9 | 0.2 (≈ 0.2222) | 22 2/9% (≈ 22.22%) | Repeating | |
| 4/9 | 0.4 (≈ 0.4444) | 44 4/9% (≈ 44.44%) | Repeating | |
| 5/9 | 0.5 (≈ 0.5556) | 55 5/9% (≈ 55.56%) | Repeating | |
| 7/9 | 0.7 (≈ 0.7778) | 77 7/9% (≈ 77.78%) | Repeating | |
| 8/9 | 0.8 (≈ 0.8889) | 88 8/9% (≈ 88.89%) | Repeating | |
| 1/10 | 0.1 | 10% | Terminating | |
| 3/10 | 0.3 | 30% | Terminating | |
| 7/10 | 0.7 | 70% | Terminating | |
| 9/10 | 0.9 | 90% | Terminating | |
| 1/11 | 0.09 (≈ 0.0909) | 9 1/11% (≈ 9.09%) | Repeating | |
| 2/11 | 0.18 (≈ 0.1818) | 18 2/11% (≈ 18.18%) | Repeating | |
| 3/11 | 0.27 (≈ 0.2727) | 27 3/11% (≈ 27.27%) | Repeating | |
| 4/11 | 0.36 (≈ 0.3636) | 36 4/11% (≈ 36.36%) | Repeating | |
| 5/11 | 0.45 (≈ 0.4545) | 45 5/11% (≈ 45.45%) | Repeating | |
| 6/11 | 0.54 (≈ 0.5455) | 54 6/11% (≈ 54.55%) | Repeating | |
| 7/11 | 0.63 (≈ 0.6364) | 63 7/11% (≈ 63.64%) | Repeating | |
| 8/11 | 0.72 (≈ 0.7273) | 72 8/11% (≈ 72.73%) | Repeating | |
| 9/11 | 0.81 (≈ 0.8182) | 81 9/11% (≈ 81.82%) | Repeating | |
| 10/11 | 0.90 (≈ 0.9091) | 90 10/11% (≈ 90.91%) | Repeating | |
| 1/12 | 0.083 (≈ 0.0833) | 8 1/3% (≈ 8.33%) | Repeating | |
| 5/12 | 0.416 (≈ 0.4167) | 41 2/3% (≈ 41.67%) | Repeating | |
| 7/12 | 0.583 (≈ 0.5833) | 58 1/3% (≈ 58.33%) | Repeating | |
| 11/12 | 0.916 (≈ 0.9167) | 91 2/3% (≈ 91.67%) | Repeating |
How to convert between fractions, decimals and percents
- Fraction to decimal: divide the numerator by the denominator. 3/8 = 3 ÷ 8 = 0.375.
- Decimal to percent: multiply by 100 (move the decimal point two places right). 0.375 × 100 = 37.5%.
- Percent to fraction: write the percent over 100 and simplify. 75% = 75/100 = 3/4.
- Decimal to fraction: write the digits over 10, 100 or 1000 and simplify. 0.125 = 125/1000 = 1/8.
For a fraction or decimal that is not in the chart, use the fraction to decimal calculator, the fraction to percentage calculator, the decimal to fraction calculator, or the percentage calculator.
Frequently asked questions
- How do you convert a fraction to a decimal and a percent?
- Divide the numerator by the denominator to get the decimal, then multiply the decimal by 100 to get the percent. 3/8 = 3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5%.
- How do you turn a percent back into a fraction?
- Write the percent over 100 and simplify. 75% = 75/100 = 3/4. For a decimal percent, clear the decimal first: 12.5% = 12.5/100 = 125/1000 = 1/8.
- Why do some fractions give repeating decimals?
- In lowest terms, a fraction has a terminating decimal only when its denominator has no prime factors other than 2 and 5 (halves, quarters, fifths, eighths, tenths). Any other factor, such as 3, 7 or 11, makes the digits repeat: 1/3 = 0.333… and 1/7 = 0.142857142857….
- What is 1/3 as a decimal and a percent?
- 1/3 = 0.333… (the 3 repeats forever) = 33 1/3%, which rounds to 33.33%. 2/3 = 0.666… = 66 2/3%, which rounds to 66.67%.
- What is 1/8 as a decimal and a percent?
- 1/8 = 1 ÷ 8 = 0.125 = 12.5%. The other eighths are 3/8 = 0.375 = 37.5%, 5/8 = 0.625 = 62.5%, and 7/8 = 0.875 = 87.5%.
Related calculators
- Fraction to decimal calculator
- Fraction to percentage calculator
- Decimal to fraction calculator
- Percentage calculator
- All fraction calculators
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Fraction Decimal Percent Chart. VisualFractions.com. Retrieved from http://visualfractions.com/math/fraction-decimal-percent-chart/.