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How It Works
A fraction is in simplest form when the numerator and denominator share no common factor other than 1. This calculator finds the GCD of both values and divides each by it. If the result is an improper fraction, it also shows the mixed number form.
Example Problem
Simplify 18/24:
- GCD(18, 24) = 6
- 18 ÷ 6 = 3, 24 ÷ 6 = 4
- Simplified: 3/4
Frequently Asked Questions
How to simplify a fraction to lowest terms?
Find the greatest common divisor of the numerator and denominator, then divide both by it. For 12/16, the GCD is 4, giving 3/4.
How do you know when a fraction is fully simplified?
A fraction is fully reduced when the only factor shared by the numerator and denominator is 1. Quick check: if neither can be divided by the same prime (2, 3, 5, 7...), it is already in lowest terms.
What is an improper fraction vs a mixed number?
An improper fraction has a numerator larger than or equal to its denominator (e.g., 7/3). A mixed number separates the whole part from the fractional part (2 1/3). Both represent the same value.
Related Calculators
- GCF Calculator — find the Greatest Common Factor of two numbers.
- Fraction Addition Calculator — add fractions and automatically simplify.
- Fraction Multiplication Calculator — multiply fractions with shown work.
- LCM Calculator — find the least common multiple of two numbers.
- Fraction Subtraction Calculator — subtract fractions and simplify the result.