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Algorithm for Multiplying Fractions 1. If one of the factors is a whole number, change it to a fraction. The whole number is the numerator of the fraction and 1 is the denominator of the fraction. 2 2 12 X 12 = X 1 5 5 2. If one of the factors is a mixed number, change the mixed number to an improper fraction. Ex: 1 7 2 2 X 3 = X 2 2 5 5 3. Multiply the numerator of the first fraction by the numerator of the second fraction. Then multiply the denominator of the first fraction by the denominator of the second fraction. 2 7 14 Ex: X = 5 2 10 4. Simplify if possible and change improper fractions to mixed numbers. 14 ÷ 2 7 Ex: Simplify by dividing the numerator and denominator by 2. = 10 ÷ 2 5 7 2 Ex: Change to a mixed number = 1 5 5 Ex: