We use cookies.This website uses essential cookies to operate core features. With your consent, we also use analytics cookies to understand traffic and improve the service. For more details, see our .
We use cookies.This website uses essential cookies to operate core features. With your consent, we also use analytics cookies to understand traffic and improve the service. For more details, see our .
Was this tool helpful to use?
Your feedback helps us make it better
Free online fraction simplifier. Enter the numerator and denominator to instantly reduce fractions to their simplest form and see the step-by-step GCD calculation process.
Enter the numerator and denominator to simplify the fraction to its lowest terms.
Overview
Understand what the tool solves, how it works, and the boundaries of its data.
A fraction is in lowest terms when its numerator and denominator have no common positive factor greater than 1. To reduce it in one step, divide both numbers by their greatest common divisor (GCD). Because the same nonzero factor is removed from the top and bottom, the fraction keeps the same value. For example, 24/36 has a GCD of 12, so 24 ÷ 12 over 36 ÷ 12 becomes 2/3. Berkeley mathematics teaching material describes the Euclidean algorithm as a finite way to find a greatest common divisor and explains how it yields a reduced fraction: Pre-Algebra, University of California, Berkeley (checked October 4, 2026).
Enter one integer numerator and one nonzero integer denominator. The result shows the reduced fraction, the GCD used, a decimal display, and the division of each input by that GCD. A zero numerator is shown as 0. If the reduced denominator is 1, the result is shown as an integer. An improper fraction remains an improper fraction in the simplest-form result; when its magnitude is greater than 1, a mixed-number form is also shown. The decimal is a convenient display rounded to at most six places, so keep the fraction when you need an exact value.
Guide
Follow the workflow and verify inputs and outputs with practical examples.
Put the top number of your fraction in Numerator and the bottom number in Denominator. For 45/60, enter 45 and 60 respectively.
Use complete integers, including a minus sign if needed. The result updates as you edit either value; no separate calculate step is required.
Read the reduced fraction and GCD, then compare the displayed divisions with your inputs. For 45/60, the GCD is 15 and the result is 3/4.
Copy the reduced fraction or decimal if you need to use it elsewhere. A shared link can retain the two input values.
Keep the order intact: entering 60 above 45 asks for 60/45, which is a different value from 45/60.
Use cases
See how the tool fits into real work and everyday tasks.
After reducing a homework fraction yourself, enter the original numerator and denominator to check the final lowest-terms result and the common divisor used.
When a recipe or a simple size comparison uses two whole-number quantities, write them as a ratio such as 150/225. The reduced result 2/3 is a shorter equivalent ratio to record; it does not change the quantities or scale the recipe for you.
Q&A
Find concise answers to common questions and confusing cases.
Reduction removes shared factors; it does not change the fraction's value or convert it to a mixed number. The tool also displays a mixed-number form for an improper result.
A fraction with a zero denominator is undefined, so the tool displays an error instead of a reduced result. Enter the intended nonzero denominator.
No. Both fields must contain complete integers within the safe-integer range. Decimal and exponent notation are rejected; convert an exact decimal ratio to an equivalent integer ratio first if that is appropriate for your problem.
A negative value keeps its sign on the numerator side while the denominator is made positive in the reduced result. If both inputs are negative, their ratio is positive.
Notes
Review scope, result limitations, and important precautions before use.
Use whole-number inputs that JavaScript can represent as safe integers. Values outside that range are rejected, so this is not an arbitrary-precision calculator. Enter decimals as integers only after expressing the original ratio exactly with a shared scale; for example, 0.5/1.2 can be rewritten as 5/12. Do not round the inputs first if doing so would change the relationship you need to preserve.
The decimal output is rounded for display and may not capture a repeating or very precise value. Use the fraction form for exact work. This page reduces one numeric fraction at a time; it does not simplify algebraic expressions or perform other fraction operations.
Related
Discover related tools, collections, and available API capabilities.