0.⅓ Decimal to Fraction Calculator
Convert any decimal number — including repeating decimals — into a simplified fraction, instantly.
Enter a Decimal
Result
Enter a decimal to see its fraction form.
How to Convert a Decimal to a Fraction
Any terminating decimal can be written as a fraction by placing the digits after the decimal point over the matching power of 10, then simplifying using the greatest common divisor (GCD). Repeating decimals use a slightly different algebraic method.
Formula — Terminating Decimals
Then simplify by dividing numerator and denominator by their GCD.
Worked example: 0.75 has 2 digits after the point, so 0.75 = 75/100 = 3/4 after simplifying (GCD of 75 and 100 is 25).
Formula — Repeating Decimals
Subtract the original x, solve for x as a fraction, then simplify.
Worked example: 0.333... (repeating 3) converts to 1/3. 0.1666... (repeating 6) converts to 1/6.
How to Use This Calculator
- Type your decimal number into the field (e.g. 0.75, 1.25, 0.6).
- If the decimal repeats forever, check "This decimal repeats" and enter just the repeating digits.
- Click Convert to see the simplified fraction, unsimplified fraction, and percentage equivalent.
Frequently Asked Questions
How do I convert a decimal to a fraction?
Write the decimal digits over a power of 10 matching the number of decimal places, then simplify using the greatest common divisor. For example, 0.25 = 25/100 = 1/4.
How do you convert a repeating decimal to a fraction?
Set the repeating decimal equal to x, multiply by a power of 10 to shift the repeating block to the left of the decimal point, subtract the original equation, then solve for x. This calculator automates that process — just enter the repeating digits.
What is 0.5 as a fraction?
0.5 = 5/10 = 1/2 after simplifying.
What is 0.333... (repeating) as a fraction?
0.333... repeating equals exactly 1/3.