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LESSON 4 · Fractions Demystified

Simplifying Fractions

Simplifying means dividing both numerator and denominator by their greatest common factor (GCF). For 12/18: the GCF is 6, so 12/18 = 2/3. A fraction in lowest terms has no common factors left between top and bottom — it is the cleanest, simplest way to express that value.

To simplify, divide both parts by a common factor. 18/24 ÷ 6/6 = 3/4. Finding the greatest common factor (GCF) gives the simplest form in one step. For 18 and 24, the GCF is 6, so one division is all you need. Without a GCF, simplify in stages: ÷2, then ÷3.