Fraction and Decimal Converter
Convert a fraction to a terminating or repeating decimal, or turn a finite decimal into its lowest-terms fraction. Every result shows the arithmetic used to check it.
Written and checked by TheToolNet Editorial Team · Last reviewed: September 20, 2026 · Editorial method
4/5 = 0.8 · 2/5 = 0.4 · 2/3 = 0.(6)
Convert a fraction to a decimal
Convert a finite decimal to a fraction
How to convert fractions to decimals
The fraction bar is division. Divide the numerator by the denominator and carry each remainder into the next decimal place. If a remainder becomes zero, the decimal terminates. If a remainder appears again, the same digits will repeat from that point.
| Fraction | Division | Decimal |
|---|---|---|
| 4/5 | 4 ÷ 5 | 0.8 |
| 2/5 | 2 ÷ 5 | 0.4 |
| 2/3 | 2 ÷ 3 | 0.(6) |
How to write a decimal as a fraction
Use the decimal place as the denominator: 0.375 is 375/1000. Divide both terms by 125 to obtain 3/8. For a recurring block, use the dedicated repeating decimal to fraction converter.
Frequently asked questions
What do parentheses in a decimal mean?
They mark the repeating block. For example, 0.(6) means 0.6666….
Can the denominator be zero?
No. Division by zero is undefined, so the converter returns a validation message.
Can I practice these conversions?
Use the fraction and decimal worksheet for generated questions and answers.