Fraction to Decimal Converter
Convert any fraction to a decimal instantly. Enter the numerator and denominator to get the decimal value, the percentage, and the division shown.
Updated 2026-06-14 · Free · No sign-up · Runs privately in your browser
Show the steps
How the Fraction to Decimal Converter Works
A fraction represents a division: the top number (numerator) divided by the bottom number (denominator). This converter takes any fraction and returns its decimal value plus the equivalent percentage, with the division shown step by step.
The Method
The rule could not be simpler:
Decimal = numerator ÷ denominator
To express the result as a percentage, multiply the decimal by 100. The tool also reduces the fraction to lowest terms so you can see its simplest form.
Worked Example
Convert 3/8 to a decimal:
- Divide the numerator by the denominator: 3 ÷ 8 = 0.375.
- As a percentage: 0.375 × 100 = 37.5%.
So 3/8 equals 0.375, or 37.5%.
Common Fractions as Decimals
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/3 | 0.333… | 33.3% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
Terminating vs Repeating Decimals
Whether a fraction gives a clean terminating decimal or a repeating one depends on the denominator. If the fully reduced denominator has only 2s and 5s as prime factors, the decimal terminates (like 3/8 = 0.375). Otherwise it repeats (like 1/3 = 0.333…). Converting fractions to decimals is essential for comparing values, doing calculations on a calculator, and working with money, measurements, and percentages.
Frequently asked questions
How do you convert a fraction to a decimal?+
Divide the numerator (top number) by the denominator (bottom number). For example, 3/8 = 3 divided by 8 = 0.375.
What is 3/4 as a decimal?+
Three quarters as a decimal is 0.75, because 3 divided by 4 equals 0.75. As a percentage that is 75%.
What is 1/3 as a decimal?+
One third is 0.3333... a repeating decimal. It is often rounded to 0.333, but the 3 repeats forever.
How do I turn a fraction into a percentage?+
First convert the fraction to a decimal by dividing the top by the bottom, then multiply by 100. So 3/8 = 0.375, and 0.375 x 100 = 37.5%.
What is a repeating decimal?+
A repeating decimal is one where a digit or group of digits repeats without end, such as 1/3 = 0.333... or 2/7 = 0.285714285714... It happens when the denominator has prime factors other than 2 and 5.