Multiplying Fractions, Whole Numbers and Mixed Numbers By: Greg Stark

Multiplying a Fraction by a Whole Numbers In order to multiply a fraction, both factors must be in the form of fractions To convert a whole number into a fraction, place it over 1, then we can multiply the fractions together 8 9 8 9 5 1 8 x 5 9 x 1 40 9 x 5 x = = = 4 R 4 4 9 9 40 4 36 4

Multiplying a Mixed Number by a Whole Number In order to multiply a fraction, both factors must be in the form of fractions To convert a mixed number into a fraction, multiply the whole number by the denominator of the fraction, then add the product to the numerator 4 5 9 5 6 1 9 x 6 5 x 1 54 5 1 x 6 x = = = 10 R 4 4 5 5 54 10 50 4

Multiplying Mixed Numbers In order to multiply a fraction, both factors must be in the form of fractions To convert a mixed number into a fraction, multiply the whole number by the denominator of the fraction, then add the product to the numerator 1 7 2 3 1 5 5 3 \ 21 5 \ 1 x 4 1 7 1 7 1 = ÷ 5 x ÷ 3 = x = \ \ ÷ 3 ÷ 5 1 1 7

Review: to multiply fractions, whole numbers or mixed numbers Ensure all factors are fractions, before you multiply them together To convert a whole number to a fractions, place it over 1. To convert a mixed number to a fraction, multiply the whole number by the denominator of the fraction, then add the product to the numerator Reduce the product to lowest terms