Convert any decimal to a simplified fraction instantly
Tip: use 0.(3) or 0.3r for 0.333…
Result
Simplified Fraction
3/4
Numerator
3
Denominator
4
Decimal
0.75
Percentage
75%
Our decimal to fraction calculator instantly converts any decimal number — including repeating decimals like 0.333… — into a fully simplified fraction. Using the greatest common divisor (GCD) method, it reduces every result to its lowest terms and also displays the mixed number form, percentage, and a clear step-by-step explanation so you can see exactly how the conversion works.
Enter the repeating decimal using the notation 0.(3) or 0.3r for 0.333…. The calculator uses an algebraic method: if x = 0.333…, then 10x − x = 3, so x = 3/9 = 1/3. It handles multi-digit repeating blocks like 0.(142857) = 1/7 automatically.
The calculator multiplies the decimal by a power of 10 to clear the decimal point (e.g. 0.75 × 100 = 75/100), then divides both numerator and denominator by their Greatest Common Divisor (GCD = 25) to get the simplified result 3/4.
A mixed number combines a whole number and a proper fraction, such as 1 3/4 instead of 7/4. The calculator displays the mixed number form whenever the resulting fraction is improper (numerator greater than denominator).
Yes. Simply type a minus sign before the decimal, for example -1.5, and the calculator will return -3/2 (or the mixed form -1 1/2). The sign is preserved through all steps of the simplification.