Fraction Simplifier
Reduce a fraction to lowest terms while keeping its value and a positive denominator.
How to use Fraction Simplifier
1. Enter Numerator, Denominator in the stated order. 2. Follow nonzero denominator and whole-number requirements where they apply. Keep corresponding quantities on the same unit scale. 3. Select Calculate or press Enter to see simplified fraction. 4. Copy result copies the output; Reset clears the inputs and answer.
Why use this tool?
Simplify an integer numerator and denominator for a worksheet, ratio or exact calculation.
How the calculation works
Divide numerator and denominator by their greatest common divisor. Move any denominator minus sign to the numerator. Integer fraction outputs and decimal-ratio comparisons use exact integer arithmetic; numeric input components are bounded as stated. Numeric input magnitudes, including each fraction or ratio component, must not exceed 9,007,199,254,740,991. Mathematical references: https://openstax.org/books/prealgebra-2e/pages/4-key-concepts and https://openstax.org/books/prealgebra-2e/pages/6-5-solve-proportions-and-their-applications.
Example
Numerator = 18 and Denominator = 24 give 3/4. Numerator = 3 and Denominator = −4 give −3/4.
Practical tip
A zero numerator simplifies to 0/1. A zero denominator is undefined and is rejected.
Frequently asked questions
Can the denominator be negative?
Yes. For example, 3/−4 simplifies to −3/4, and −3/−4 simplifies to 3/4. The result’s denominator is positive.
Can the exact result be larger than the input limit?
Yes. Exact integer fractions can have larger output numerators or denominators after multiplication. Their text remains exact. Floating-point numeric outputs on other maths pages are limited to the supported numeric range.
Does the tool choose units or round my input first?
Enter corresponding measurements in matching units; the maths forms do not convert units automatically. Exact fraction and ratio text is kept for integer arithmetic. Other numeric operations use browser floating-point values and the display precision stated above.