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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.
Steg-för-steg-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
Lösta exempel
Ingång
12/16
Resultat
3/4
GCF(12,16)=4 → 12÷4=3, 16÷4=4
Ingång
18/24
Resultat
3/4
GCF(18,24)=6 → 18÷6=3, 24÷6=4
Ingång
7/13
Resultat
7/13
Already simplified — 7 and 13 are both prime
Ingång
100/250
Resultat
2/5
GCF=50 → 100÷50=2, 250÷50=5
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