Decimal to Fraction Converter
Turn a decimal into its exact fraction. Type a number like 0.75 and see the reduced fraction and mixed number, with the steps explained below.
How to convert a decimal to a fraction
- Type or paste your decimal, for example 0.75 or 2.5.
- Read the fraction over a power of ten, then its simplified form.
- Use the simplified fraction or the mixed number, whichever you need.
Examples
A common terminating decimal
0.75
3/4
A value greater than one
2.5
5/2 (mixed: 2 1/2)
Frequently asked questions
How does the decimal to fraction conversion work?
We count the digits after the decimal point to get the denominator as a power of ten, then make the numerator the digits without the point. For 0.75 that is 75/100, which reduces to 3/4.
How is the fraction simplified?
We divide the numerator and denominator by their greatest common divisor. So 75/100 both share a factor of 25, giving the lowest-terms fraction 3/4.
Can it show a mixed number?
Yes. When the value is larger than one, we also show the mixed form. For example 2.5 becomes the improper fraction 5/2 and the mixed number 2 1/2.
What about repeating decimals like 0.3333?
Repeating decimals are approximated from the digits you type. 0.3333 becomes 3333/10000, which is close to but not exactly 1/3. Enter more digits for a closer match, or use a known repeating value.
Does it handle negative numbers and whole numbers?
Yes. Negatives keep their sign, so -0.25 becomes -1/4. Whole numbers like 3 are written over a denominator of one as 3/1.
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