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

89 5x =

89

51x 8 x 5

9 x 1= =40

9

449

9 40

4

36

4

R 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

6x =95

61x 9 x 6

5 x 1= =545

1045

5 54

10

50

4

R 4

145

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

4x = ==123

15

53

215

x÷ 5

÷ 5

÷ 3

÷ 3

1

1

7

\1

\\\ 1

1

71

x 71

7

Review: to multiply fractions, whole numbers or mixed numbers

1. Ensure all factors are fractions, before you multiply them together2. To convert a whole number to a fractions, place it over 1.3. 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

4. Reduce the product to lowest terms