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Fraction to Decimal Converter: Decimal, Percent, Repeating

This free converter turns a fraction or mixed number into a decimal and a percentage. It spots repeating decimals and shows the repeating digits in brackets, so 1/3 reads 0.(3).

By Debmedia Technologies LLP · Kolkata, India · Updated

What Is It and When Do You Need It?

Every fraction is either a finite decimal or one that repeats. A calculator hides this by rounding, but long division shows the pattern.

Type a fraction or a mixed number.

How to Use This Tool

  1. Enter the value or values asked for in the boxes.
  2. Choose the unit label if there is a choice.
  3. Press Calculate.
  4. Read every result in the table and copy what you need.

How the Calculation Works

The tool does long division. It keeps track of each remainder; when a remainder repeats, the digits between its two appearances form the repeating block, which is shown in brackets. The percentage is the decimal times 100.

Worked Example

3/8 is 0.375 (37.5%). 1/3 is 0.(3). 22/7 is 3.(142857). 1/7 is 0.(142857).

Common Uses

  • Homework and exams.
  • Recipes and measurements.
  • Finance and percentages.
  • Understanding recurring decimals.

Tips and Common Mistakes

  • Mixed numbers use a space: 2 1/3.
  • Very long repeating blocks are cut after 500 digits.
  • Use the decimal to fraction tool for the reverse.
  • Measure carefully: a small error in a length is squared in an area and cubed in a volume, so a 5 percent error in a side can become a 10 percent error in the area or a 15 percent error in the volume.
  • Round only at the end. If you copy a result into another calculation, copy the full number from the tool rather than a rounded one, so small errors do not build up.

Next, you may need the decimal to fraction converter, simplify radical calculator, system of equations solver, rectangle calculator.

Everything runs in your browser. Nothing you type is uploaded, stored or sent to any outside service.

Frequently Asked Questions

Divide the top number by the bottom number. 3 ÷ 8 = 0.375.
A decimal whose digits repeat forever, such as 1/3 = 0.333… The tool writes it as 0.(3).
When its denominator, in lowest terms, has only 2 and 5 as prime factors. Otherwise it repeats.
Multiply the decimal by 100.

Disclaimer: results are calculated in your browser from the numbers you enter. Check important results before you rely on them for money, health, safety or legal decisions.