Concept: Multiplying Fractions

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Fractions Worksheet for Topic 9: Multiplying Fractions
Concept: Multiplying Fractions
Name:
COMPUTER COMPONENT
Instructions: Select the computer program Understanding Fractions (Neufeld)
Follow the instructions to the Main Menu.
Select Multiplying Fractions from the Main Menu.
Work through all sections of this topic in order:
• Pattern Blocks
• Order in Multiplying
• Fraction Strips
• Multiplying Fractions with Large Numbers
• Word Problems
• Multiplying Fractions with Many Numbers
• A Summary
• Practice Questions
• The Meaning of "Of"
As you work through the computer exercises, make your own notes in
the blanks provided.
When you reach the end of the section Practice Questions on the
computer, move on to the WORKSHEET portion of this handout.
YOUR NOTES
º Pattern Blocks
On the following hexagon,
(a) Divide the hexagon into 6 equal parts.
(b) Shade
1
3
of it.
(c) Shade
1
2
of that which you shaded in (b).
(d) What is
1
2
of 13 ?
º Fraction Strips
Use the following fraction strip to help you with this question.
1
3
1 3
of
= × =
3
5
3 5
Neufeld Learning Systems 09/2000 (see http://www.neufeldmath.com)
1
º Word Problems
example 1: Boris spent
Fractions Worksheet for Topic 9: Multiplying Fractions
3
1
of
of his allowance. Give the solution to this question below.
4
2
º Order in Multiplying
After seeing the two examples in this section, do you think that order matters
when multiplying fractions?
º Multiplying Fractions with Large Numbers
example 1:
39 16
39 × 16
×
=
=
32 26
32 × 26
=
There is an easier way.
39 16
×
=
32 26
example 2:
×
×
=
15 51
×
=
34 60
=
=
=
There is an easier way.
15 51
×
=
34 60
×
=
=
Neufeld Learning Systems 09/2000 (see http://www.neufeldmath.com)
2
º Multiplying Fractions with Many Numbers
example 1:
16 15
7
×
×
=
21
4
20
example 2:
25
16
49
×
×
=
14
45
40
Fractions Worksheet for Topic 9: Multiplying Fractions
WORKSHEET
1. Using each bar below, shade in the product of the following fractions.
(a)
1 1
× =
2 3
(b)
1 1
× =
4 2
(c)
1 1
× =
3 3
2. Multiply. Your answer should be in lowest terms.
(a)
1 3
× =
2 4
(b)
4 5
× =
5 8
(c)
8 3
× =
9 4
(d)
1 1
× =
8 9
(e)
2 4
× =
3 3
(f)
1 4 3
× × =
3 5 7
Neufeld Learning Systems 09/2000 (see http://www.neufeldmath.com)
3
Fractions Worksheet for Topic 9: Multiplying Fractions
3. Multiply. Remember to use the skills you learned in Multiplying Fractions with Large
Numbers.
(a)
10 4
× =
12 5
(b)
11 2
×
=
14 33
(c)
21 10
×
=
25 21
(d)
20 30
×
=
30 40
(e)
15 12
×
=
18 25
(f)
64 27
×
=
78 40
(g)
16 5 4
× × =
17 8 15
(h)
14 5 6
× ×
=
15 7 21
(i)
18 8 3
× ×
=
16 9 20
(j)
3 16 21
× ×
=
24 14 27
8
1
of a kilometer from Sarah. Phillipe walked
of the way to Sarah's
11
4
house, and then got a ride from his dad for the rest of the way.
4. Phillipe lives
How far did Phillipe walk?
Neufeld Learning Systems 09/2000 (see http://www.neufeldmath.com)
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