Fraction Simplifier

What Does "Simplifying" a Fraction Mean?

A fraction is in its simplest, or lowest, form when its numerator and denominator share no common factor other than 1. For example, 18/24 simplifies to 3/4 because both 18 and 24 can be divided evenly by 6, and 3 and 4 share no further common factor.

The Greatest Common Divisor (GCD)

The key to simplifying any fraction is finding the greatest common divisor of its numerator and denominator, then dividing both by that number. This tool uses the Euclidean algorithm to find the GCD instantly, even for large numbers, and shows the division step explicitly.

Improper Fractions and Mixed Numbers

An improper fraction has a numerator larger than its denominator, like 11/4. This tool converts freely between improper fractions and mixed numbers — 11/4 becomes 2 3/4 — showing both forms alongside the decimal equivalent.

Adding and Subtracting Different Denominators

Fractions with different denominators need a common denominator before they can be added or subtracted. The calculator finds the least common multiple of the two denominators automatically, converts each fraction, then combines and simplifies the result.

Who Uses This

• Students working through fraction arithmetic homework.
• Teachers preparing answer keys or checking student work.
• Anyone converting a recipe or measurement that uses fractional units.
• Test-takers practicing fraction-heavy problem sets.

Why Step-by-Step Work Matters

Getting the right answer is only half the goal when learning fractions — understanding *why* it's right matters just as much. Every calculation here shows the GCD, the division step, and (for calculator mode) the common denominator used, not just the final number.

Nothing Is Saved or Uploaded

All calculations happen entirely in your browser. Refreshing the page clears every field — nothing is sent to a server or stored anywhere.