Decimals ↔ Convert fractions

Easily convert decimals to fractions and fractions to decimals. Enter a value and get the result immediately, including an explanation.


Convert decimal to fraction

You can convert a decimal number to a fraction by placing the number without a decimal point over a power of 10 and then simplifying.

Example

0.75 = 75/100 = 3/4

Convert fraction to decimal

You convert a fraction to a decimal by dividing the numerator by the denominator.

Example

3 ÷ 4 = 0.75

When do you use this conversion?

  • With math problems
  • For percentage calculations
  • In financial calculations
  • In statistics and data analysis

Frequently Asked Questions

Why do we simplify the fraction?

A simplified fraction is clearer and is used by default in mathematics.

Can a fraction become an infinite decimal?

Yes, some fractions like 1/3 result in a repeating decimal.