Decimal to Fraction Calculator

Convert a terminating decimal to its simplified fraction form.

Inputs

Up to 10 digits after the decimal point.

Result

Loading calculator…
—

General calculation reads

Amazon affiliate
How Not to Be Wrong
Jordan Ellenberg - math thinking
Shop on Amazon
The Joy of X
Steven Strogatz - accessible math
Shop on Amazon
Scientific calculator (Casio fx-991EX)
Shop on Amazon

As an Amazon Associate we may earn from qualifying purchases. This does not add cost for you.

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

Does this work for repeating decimals?+
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.
How is the answer simplified?+
By dividing numerator and denominator by their greatest common divisor (GCD). 625/1000 → divide by 125 → 5/8.
Can I get a mixed number?+
For improper fractions (numerator > denominator), the breakdown shows both improper and mixed forms.
Why does 0.1 not give 1/10 exactly?+
0.1 in floating point is actually 0.1000000000000000055…. The calculator parses the decimal as a string to avoid this representation issue.
How precise can the input be?+
JavaScript numbers have ~15 significant digits. For very precise fractions, use scientific-notation or the gcd-calculator directly with the desired numerator/denominator.

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.

More tools you might like

Hand-picked tools that pair well with this one — same audience, same intent.

Fraction to Decimal Calculator
Calc

Convert any fraction n/d to its decimal form, including detection of repeating decimals.

Ratio Calculator & Simplifier
Calc

Simplify a ratio like 12:18 to its lowest terms (2:3) and compare to a target ratio.

Proportion Solver
Calc

Given a/b = c/x (or any of three knowns), solve for the fourth.

Mean (Average) Calculator
Calc

Compute the arithmetic mean of a list of numbers.

GCD (Greatest Common Divisor) Calculator
Calc

Euclidean algorithm: gcd(a,b) = gcd(b, a mod b). Supports 2-6 integers.

Flatten PDF Form
PDF

Convert a filled-in PDF form into static, un-editable text — fields become part of the page so the values can't be changed.