How to Calculate Simplify Fractions
What is Simplify Fractions?
Simplifying a fraction (reducing to lowest terms) means dividing both the numerator and denominator by their Greatest Common Factor (GCF). The result is an equivalent fraction with the smallest possible whole numbers.
Step-by-Step Guide
- 1Find the GCF of the numerator and denominator using prime factorization or the Euclidean algorithm
- 2Divide both numerator and denominator by the GCF
- 3The result is the simplified fraction — verify GCF of new fraction = 1
Worked Examples
Input
12/16
Result
3/4
GCF(12,16)=4 → 12÷4=3, 16÷4=4
Input
18/24
Result
3/4
GCF(18,24)=6 → 18÷6=3, 24÷6=4
Input
7/13
Result
7/13
Already simplified — 7 and 13 are both prime
Input
100/250
Result
2/5
GCF=50 → 100÷50=2, 250÷50=5
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