Fraction Simplifier
Reduce a fraction to its simplest form, with decimal and percent.
Enter a numerator and denominator to reduce the fraction to its lowest terms, and see it as a decimal and a percentage. Great for math homework and quick checks.
Formula / method
Examples
2/3
3/1
Reducing to lowest terms
Simplifying a fraction means dividing its numerator and denominator by their greatest common divisor until they share no factor but 1. So 8 over 12 both divide by 4 to give 2 over 3, which represents the exact same value in the simplest form. This tool finds that common divisor automatically and also shows the fraction as a decimal and a percentage so you can see all three views at once.
The value never changes during simplification; only the way it is written becomes cleaner and easier to compare or communicate.
Why simpler is better
Reduced fractions are easier to read, add, and check, and they are the expected answer form in most schoolwork. Seeing the decimal alongside helps spot repeating patterns, such as 1 over 3 becoming 0.333, while the percentage view is handy for ratios and proportions.
Enter whole numbers top and bottom; a denominator of zero is undefined and has no fraction. The engine here is the same greatest-common-divisor logic offered by the GCD and LCM calculator on UtilGears, so the two tools complement each other well.
Where it's used
- Reducing a recipe measurement like 6/8 cup to an easier 3/4 cup
- Simplifying ratios in woodworking, sewing or model-building
- Checking homework answers are in lowest terms
- Expressing odds or probabilities in their simplest form
- Cleaning up scale or gear ratios so they read clearly
Real-world examples
- 12/16 simplifies to 3/4 by dividing both numbers by their greatest common divisor, 4.
- 45/60 of an hour reduces to 3/4 — that is, 45 minutes.
- 18/24 becomes 3/4 (both share a GCD of 6).
- A recipe calling for 6/8 cup is simply 3/4 cup.
FAQ
What is a fraction in lowest terms?
A fraction is in lowest terms when the numerator and denominator share no common factor other than 1 — so it can’t be reduced further.