Decimal to Fraction Converter

Convert any decimal number to a fraction in simplest form

Decimal Number

About this calculator

To convert a decimal to a fraction: count the decimal places, write the number over 10^(decimal places), then simplify. 0.75 = 75/100 = 3/4. Terminating decimals always convert to exact fractions. Repeating decimals like 0.333... = 1/3 require algebraic methods.

How to use

Enter 0.625. This has 3 decimal places → 625/1000. GCF(625,1000) = 125, so the result is 5/8.

Frequently asked questions

Can all decimals be converted to fractions?

Terminating and repeating decimals can always be expressed as fractions. Irrational numbers like π or √2 cannot — they are non-terminating, non-repeating decimals.

How do I convert a repeating decimal like 0.333...?

Let x = 0.333... Then 10x = 3.333... Subtract: 9x = 3, so x = 1/3. This algebraic trick works for any repeating decimal.