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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.
Водич чекор-по-чекор
- 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
Влез
12/16
Резултат
3/4
GCF(12,16)=4 → 12÷4=3, 16÷4=4
Влез
18/24
Резултат
3/4
GCF(18,24)=6 → 18÷6=3, 24÷6=4
Влез
7/13
Резултат
7/13
Already simplified — 7 and 13 are both prime
Влез
100/250
Резултат
2/5
GCF=50 → 100÷50=2, 250÷50=5
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