Simplify Fractions
Simplify fractions to lowest terms. Reduce fractions step by step with this free calculator.
Reduce fractions to their simplest form. Enter a fraction and see the step-by-step process to find the GCF and simplify.
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Quick examples:
How to Use
- Enter the numerator (top number)
- Enter the denominator (bottom number)
- Click "Simplify Fraction"
- View the simplified fraction and steps
What is Simplify Fractions?
Simplifying a fraction means reducing it to its lowest terms by dividing both the numerator and denominator by their Greatest Common Divisor (GCD). A fraction is fully simplified when no number other than 1 divides both parts evenly.
Formula
To Simplify a Fraction:
1. Find the GCD of numerator and denominator
2. Divide both by the GCD
Example: 12/18 → GCD = 6 → 12÷6 / 18÷6 = 2/3
Examples
- 12/18 = 2/3 (divide by 6)
- 25/100 = 1/4 (divide by 25)
- 8/12 = 2/3 (divide by 4)
- 7/21 = 1/3 (divide by 7)
FAQ
How do I know if a fraction is already simplified?
A fraction is fully simplified if the GCD of the numerator and denominator is 1. This means no number other than 1 divides both evenly.
What if the fraction has negative numbers?
Simplify as usual, then put the negative sign in front of the fraction. Convention is to keep the negative in the numerator: -3/4 rather than 3/-4.
Why is simplifying fractions important?
Simplified fractions are easier to work with, compare, and understand. They also make calculations simpler and help identify equivalent fractions.