Simplify Fraction Calculator
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Formula: Simplified = Numerator/GCD ÷ Denominator/GCD
Simplify Fraction Calculator
Simplifying fractions reduces them to their lowest terms, making them easier to read, compare, and use in further calculations.
Conversion Formula
Simplified = Numerator/GCD ÷ Denominator/GCD
The GCD (Greatest Common Divisor) is found using the Euclidean algorithm. Both numerator and denominator are divided by this value.
Step-by-Step Examples
24/36 = 2/3
GCD(24, 36) = 12. 24÷12 = 2, 36÷12 = 3.
15/10 = 3/2
GCD(15, 10) = 5. 15÷5 = 3, 10÷5 = 2.
Frequently Asked Questions
How do I simplify a fraction?
Find the greatest common divisor (GCD) of the numerator and denominator, and divide both by it.
What is 24/36 simplified?
24/36 simplified is 2/3. The GCD of 24 and 36 is 12.
What if the fraction is already simplified?
The calculator returns the same fraction. A fraction is fully simplified when the GCD of numerator and denominator is 1.
Can I simplify improper fractions?
Yes. For example, 15/10 simplifies to 3/2.
Does simplifying change the value?
No. A simplified fraction represents exactly the same value as the original.