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Math

Fraction to Decimal

Convert between fractions, decimals, and percents. Paste a mixed number like 2 1/2, an improper fraction like -7/3, a decimal like 0.375, or a percent like 37.5%. Everything runs locally in your browser.

Fraction ⇄ Decimal ⇄ Percent
Client-side onlyFast & private
Conversion

Choose the direction of conversion.

Options
Status
Mixed • Max denom 1000

Fractions auto-reduce; decimals/percents round to your chosen precision.

Fraction

Supports mixed numbers (2 1/2), improper fractions (-7/3), and integers.

Results

Fraction → Decimal & PercentDecimals 4Max denom 1000
Summary
  • Reduced fraction: 3/4
  • Decimal: 0.7500
  • Percent: 75.0000%

decimal = numerator ÷ denominator; percent = decimal × 100

Notes

Fractions are auto-reduced with integer GCD. Decimal → fraction uses a best-rational approximation (continued fractions) bounded by your Max denominator. Switch fraction style between Mixed and Improper.

Example: 0.375 → 3/8 → 37.5%. Mixed style of 7/3 is 2 1/3.

How to Use the Fraction to Decimal Converter

This free, client-side Fraction to Decimal tool converts between fractions, decimals, and percents. It supports mixed numbers, reduction to lowest terms, and a tunable maximum denominator for accurate decimal-to-fraction results. No data is uploaded.

  1. Pick a conversion: Fraction → Decimal & Percent, Decimal → Fraction & Percent, or Percent → Fraction & Decimal.
  2. Enter your value: Examples: 3/4, 2 1/2, -7/3, 0.125, or 12.5%.
  3. Set options: Choose Mixed or Improper fraction style, adjust decimal places, and set a Max denominator for fraction outputs.
  4. Read results: The tool shows reduced fractions, rounded decimals, and percents with the formula used.
  5. Copy or reset: Use Copy to save your summary, or Reset to start over.

Formulas

  • Decimal from fraction: n ÷ d
  • Percent from decimal: decimal × 100
  • Fraction from decimal: best rational approximation with denominator ≤ max, then reduce
  • Mixed number: n/d = sign × (whole + rem/den)

Tips

  • Enter mixed numbers as whole numerator/denominator (e.g., 2 1/2).
  • Increase Max denominator for tighter decimal → fraction matches.
  • Use decimal places for currency-friendly rounding.

FAQ

Why isn’t my fraction exact from a decimal?

Some decimals are repeating (e.g., 1/3 = 0.333…). Increase the Max denominator to improve the approximation, or set more Decimals for display.

Does it handle negative mixed numbers?

Yes. A value like -2 1/3 is interpreted as -(2 + 1/3).

Is my data private?

Absolutely. Everything runs locally in your browser (client-side). Nothing is uploaded or stored.