How to use the decimal to fraction calculator
Enter a decimal value. Terminating decimals are converted exactly when possible, while repeating or long decimals are approximated with a denominator up to the calculator's limit.
Decimal-to-fraction method
For example, 0.375 equals 375/1000. Dividing both by 125 gives 3/8.
Example: Noah converts 0.625
Noah needs to express 0.625 as a fraction. Writing it as 625/1,000 and dividing both numbers by 125 gives 5/8. The same value is 62.5%.
A rounded repeating decimal may produce an approximate fraction. The tool limits the denominator to keep the result practical; it does not infer unentered repeating digits.
How place value turns a decimal into a fraction
A finite decimal can be written over a power of ten based on the number of decimal places. For example, 0.75 has two decimal places, so it can be written as 75/100 and then simplified to 3/4.
The same method works for values greater than 1. The improper fraction can be left as-is or converted to a mixed number when that format is more useful.
Repeating decimals need a different method
A repeating decimal such as 0.333... does not have a finite number of decimal places. Converting it exactly requires algebraic reasoning rather than simply placing the visible digits over a power of ten.
This calculator is designed for the finite decimal value entered into the field, so a rounded decimal produces the fraction corresponding to that rounded value.
Assumptions and limitations
What the estimate assumes
Irrational numbers cannot be represented exactly as finite fractions; the result is an approximation for such inputs.
Decimal to Fraction Calculator FAQs
How do I convert 0.5 to a fraction?
0.5 = 5/10, which simplifies to 1/2.
What fraction is 0.25?
1/4.
Can repeating decimals be exact fractions?
Yes, many repeating decimals are rational numbers, but a finite decimal input may only approximate the repeating value.
Does the calculator simplify the fraction?
Yes.
How do I convert 0.75 to a fraction?
Write 0.75 as 75/100, then divide numerator and denominator by 25. The simplified result is 3/4.
Can every terminating decimal be written as a fraction?
Yes. A terminating decimal can be written over a power of ten and then reduced to lowest terms.
For general mathematical use. Some decimal inputs produce rational approximations rather than exact representations.