Decimal to Fraction Calculator
Convert a terminating decimal to its simplified fraction form.
Result
Fraction
5/8
Improper fraction.
- Initial fraction625/1000
- GCD125
- Simplified5/8
- Mixed (if proper)5/8
Step-by-step
- Decimal has 3 digits after the point → denominator = 10^3 = 1000.
- Numerator = 0.625 × 1000 = 625.
- Simplify by dividing both by gcd(625, 1000) = 125 → 5/8.
How to use this calculator
- Enter the decimal value (terminating only).
- Read the simplified fraction.
About this calculator
A terminating decimal can be converted to a fraction by reading the digits after the decimal point as a numerator and using a power of ten as the denominator, then simplifying. 0.625 = 625/1000, which simplifies (dividing both by 125) to 5/8. For repeating decimals, see the dedicated repeating-decimal-to-fraction approach (not in this tool).
Frequently asked
Not directly. For repeating decimals like 0.333…, use the algebraic identity x = 0.333…, 10x = 3.333…, subtract to get 9x = 3, x = 1/3.
Related calculators
Fraction to Decimal Calculator
Convert any fraction n/d to its decimal form, including detection of repeating decimals.
GCD (Greatest Common Divisor) Calculator
Euclidean algorithm: gcd(a,b) = gcd(b, a mod b). Supports 2-6 integers.
LCM (Least Common Multiple) Calculator
lcm(a,b) = |a × b| / gcd(a,b). Smallest number that both a and b divide evenly.
Ratio Calculator & Simplifier
Simplify a ratio like 12:18 to its lowest terms (2:3) and compare to a target ratio.
Proportion Solver
Given a/b = c/x (or any of three knowns), solve for the fourth.
Mean (Average) Calculator
Compute the arithmetic mean of a list of numbers.