Decimal ↔ Fraction Converter
Convert decimals to fractions and fractions to decimals instantly. Get simplified results with adjustable precision - fast and local.
How the Decimal ↔ Fraction Converter Works
Decimals and fractions represent the same values in different forms. This tool lets you convert between them depending on what format you need.
When converting decimals to fractions, the converter searches for the simplest fraction that closely matches the decimal using a configurable denominator limit.
- Decimal → Fraction: Approximates decimals as simplified fractions.
- Fraction → Decimal: Divides numerator by denominator directly.
- Simplification: Fractions are reduced to lowest terms automatically.
- Precision control: Max denominator balances simplicity and accuracy.
- Local: Runs entirely in your browser.
Why Decimal and Fraction Conversion Is Useful
Fractions are common in everyday measurements, while decimals are standard in digital tools like calculators and spreadsheets.
Being able to convert both ways helps prevent rounding errors and makes values easier to compare.
- School & homework: Practice and verify fraction-decimal conversions.
- Cooking & recipes: Switch between fractional and decimal quantities.
- DIY & measurements: Compare ruler-style fractions with decimal values.
- Spreadsheets: Convert fractions into decimals for formulas.
Common Conversion Examples
These examples show how typical decimals and fractions convert between formats.
- 0.75: 3 / 4
- 0.5: 1 / 2
- 0.3333: ≈ 1 / 3 (with higher max denominator)
- 5 / 8: 0.625
FAQ
How do I convert a decimal to a fraction?
Choose Decimal → Fraction, enter a decimal value, and the tool finds a simplified fraction approximation based on the selected max denominator.
How do I convert a fraction to a decimal?
Choose Fraction → Decimal and enter the numerator and denominator. The tool divides them and shows the decimal result instantly.
What does max denominator mean?
It limits how large the denominator can be when approximating decimals. Smaller limits give simpler fractions, while larger limits give more precise results.
Is this exact for repeating decimals like 0.3333?
Repeating decimals usually require approximation. Increasing the max denominator helps the tool find common fractions like 1/3.
Is any data uploaded or stored?
No. All calculations run locally in your browser.