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