Convert between decimals, fractions, and percentages instantly. Essential for payroll processing, grade calculations, and everyday math.
Enter any decimal number (positive or negative)
Common Conversions Reference
| Decimal | Fraction | Percent |
|---|---|---|
| 0.125 | 1/8 | 12.5% |
| 0.25 | 1/4 | 25% |
| 0.333 | 1/3 | 33.33% |
| 0.375 | 3/8 | 37.5% |
| 0.5 | 1/2 | 50% |
| 0.625 | 5/8 | 62.5% |
| 0.667 | 2/3 | 66.67% |
| 0.75 | 3/4 | 75% |
| 0.875 | 7/8 | 87.5% |
| 1.0 | 1 | 100% |
Select the conversion mode: "Decimal to Fraction" to convert decimals like 0.75 to fractions like 3/4, "Fraction to Decimal" to convert 5/8 to 0.625, or "Decimal to Percent" to convert 0.375 to 37.5%.
Enter your value in the input field provided. For fraction-to-decimal mode, enter the numerator and denominator separately.
Click "Convert" to see the result instantly. For decimals, the calculator finds the simplest fraction equivalent. For fractions, it detects repeating decimals up to 6 decimal places.
Review the visual bar representation showing the proportion visually. The green portion represents the value relative to 1 (or 100% for percent mode).
Use the quick reference table at the bottom for common conversions including 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, and 7/8.
To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. To convert a decimal to a percent, multiply by 100: 0.75 × 100 = 75%. To convert a decimal to a fraction, determine the place value (tenths, hundredths, thousandths, etc.) and simplify using the greatest common divisor (GCD). For example, 0.375 has three decimal places, so it equals 375/1000, which simplifies to 3/8 by dividing numerator and denominator by their GCD of 125. Some fractions produce repeating decimals (like 1/3 = 0.333...), which are denoted with a bar or parentheses over the repeating digits.
Convert 0.75 to a fraction. The decimal has two places, so it equals 75/100. Find the GCD of 75 and 100, which is 25. Divide both by 25: 75 ÷ 25 = 3, and 100 ÷ 25 = 4. So 0.75 = 3/4 in simplest form. Since 3/4 is a proper fraction (numerator < denominator), there is no whole number part.
Convert 5/8 to a decimal by dividing 5 by 8: 5 ÷ 8 = 0.625. This is a terminating decimal because 8 (the denominator) has only prime factors of 2. As a percentage: 0.625 × 100 = 62.5%. In mixed number terms, 5/8 is already a proper fraction, so it equals 0 5/8 as a mixed number.
Convert 0.375 to a percentage: 0.375 × 100 = 37.5%. To find the fraction: 0.375 has three decimal places, so it equals 375/1000. GCD of 375 and 1000 is 125. Simplified: 375 ÷ 125 = 3, and 1000 ÷ 125 = 8. So 0.375 = 3/8 = 37.5%. This is particularly useful in payroll calculations, where 3/8 of an hour equals 0.375 hours or 22.5 minutes.
Find answers to the most common questions about decimal & fraction converter.
