Fraction & Decimal Converter

Switch between decimals, simplified fractions, mixed numbers, and percentages with smart denominator control, approximation error, and copy-ready results.

We fully support scientific notation (e.g. 1.2e-3), repeating decimals, and negative numbers.

Limit denominator

Tune how simplified the resulting fraction should be. Lower values prefer clean denominators, higher values fit long repeating decimals more closely.

1024
Simplified fraction
1/2

Approximation error: 0.00e+0

Mixed number
1/2

Improper fractions are converted to a whole number plus remainder

Decimal
0.5

Original decimal value

Percentage
50.0000%

Rounded to four decimal places

How this approximation works

We use continued fractions to find the closest rational representation with a denominator capped at 1024. Increase the limit if you are working with long repeating decimals such as 0.3333. Decrease it to prioritise simpler fractions like thirds, eighths, or tenths.

Frequently Asked Questions