ToolNest

Fraction, Decimal & Percent Converter

Convert between all three, with stepsRuns locally · nothing uploaded

  • Simplest fraction3/8
  • Mixed number3/8
  • Decimal0.375
  • Percent37.5%
Steps

Decimal to fraction: 0.375 = 375/1000; divide top and bottom by the GCD 125 to get 3/8

Decimal to percent: move the point two places right and add %: 0.375 = 37.5%

Also works as:fraction to decimaldecimal to fractionpercent to fractionrepeating decimal to fraction

How it works

Formula

Fraction → decimal: numerator ÷ denominator
Decimal → fraction: over 10ⁿ, then simplify by the GCD
0.(abc) = abc ÷ 999

Worked example

Given: 0.375

  1. 375/1000; GCD 125 → 3/8.
  2. × 100% = 37.5%.

Result: 0.375 = 3/8 = 37.5%.

How to use

  1. 1Enter a value; put repeating digits in parentheses.
  2. 2Read all forms.
  3. 3Follow the steps.

FAQ

What does 0.(3) mean?

The digits in parentheses repeat: 0.333… = 1/3.