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Fractions XIII
Multiplication of Whole
Numbers
by Monica Yuskaitis
Times You Would Multiply a
Fraction Times a Whole Number
You
walk a 4 mile route halfway.
½ of 4 or ½ x 4
You walk a ¾ mile route twice.
2x¾
Times You Would Multiply a
Fraction Times a Whole Number
 A $12
ticket to the magic show is on
sale for 2/3 of the original price.
2/3 of $12 or 2/3 x 12
How to Find the Fraction of
a Whole Number

The first thing to remember is “of”
means multiply in mathematics.
of = x
How to Find the Fraction of
a Whole Number

Step 1 - When you see a fraction
problem you know when you read “of”
in the problem you multiply.
1 of
46
x
2
How to Find the Fraction of a
Whole Number

Step 2 – Change your whole number to
a fraction by adding a one underneath.
1 x 46
2
1
How to Find the Fraction of a
Whole Number
 Step 3 – Multiply your numerators
straight across.
1 x 46 = 46
2
1
How to Find the Fraction of a
Whole Number
 Step 4 – Then multiply your
denominators straight across.
1 x 46 = 46
2
1
2
How to Find the Fraction of a
Whole Number

Step 5 – Simplify your answer. In this
case we change an improper fraction to a
mixed number or a whole number.
23
1 x 46 = 46 2)46
2
1
2
Multiply and Simplify
12
1 of
36
36
x
=
3
1 3 3)36
Multiply and Simplify
3
1 of
18
18
x
=
6
)
18
6
1 6
Multiply and Simplify
3
38
3 of
9
27
x
=
8
1 8 8)27
24
3
Multiply and Simplify
2
58
7 of
6
42
x
=
8
1 8 8)42
40
2 ÷2 = 51
58 ÷2
2
4
Multiply and Simplify
You’re really
getting this!
4
18
1 of
12
12
x
=
8
1 8 8)12
8
4 ÷4 = 11
18 ÷4
4
2
Credits
Clipart from “Microsoft Clip
Gallery” located on the Internet
at http://cgl.microsoft.com/
clipgallerylive/default.asp