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Multiplying Fractions

Goals: I can figure out how to solve multiplication problems with fractions in realworld situations.
Standard: MCC5.NF.6: Solve real world problems involving multiplication of
fractions and mixed numbers, e.g., by using visual fraction models or equations to
represent the problem.
Credits: Special thanks to Kelly Katz, for some of the slides in this presentation.
Shortcut Method
Warning:
This method will not work
with every multiplication
problem. Be prepared to at
all times to multiply large
number & simplify large
numbers.
Shortcut Method
1

1

2

2

_5_ _6_
12 10
Shortcut Method
1

_5_ _6_
12 10
2

2

1
=

1
4
Shortcut Method

_3_ _2_
7
5
Shortcut Method

_3_ _2_ 6
35
7
5
=
Shortcut Method
1

1

2

1

_4_ _3_
6
4
Shortcut Method
1

_4_ _3_
6
4
2

1

1
=

1
2
Shortcut Method

13
6

_1_
4
Shortcut Method

13
6

_1_ 13
24
4
=
Shortcut Method
5

2

20
8

_4_
4

1

1
Shortcut Method
5

2

20
8

4_
4

1

1
=

5
2
What is wrong with this answer?

5
2
Improper Fraction

f
eo
yp
h t is it?
hic ion
W ct
fra

Proper Fraction
Improper Fraction → Mixed Number
1. Divide the numerator by the denominator
2. Put the remainder over the denominator

Divide the
numerator by
the denominator

2
2 5
4
1

R1
2

5
= 2

Write the
remainder
over the
denominator

2

1
2
Convert the improper fraction to a
mixed number:

7
3

2

1
3
Convert the improper fraction to a
mixed number:

8
3

2

2
3
Convert the improper fraction to a
mixed number:

9
2

4

1
2
Convert the improper fraction to a
mixed number:

11
5

2

1
5
Convert the improper fraction to a
mixed number:

10
5

If there is no
remainder then
your answer is a
whole number!

2
Name: __________________

Date: ____________________

Group: _____

I can: demonstrate my knowledge of multiplying fractions!
Multiply these fractions (using Shortcut Method)!
2. 3 x 7 =
6
9

1. 5 x 4 =
8
10

Multiply (using Shortcut Method) these fractions and turn your answers into mixed
numbers! Don’t forget to simplify!
3. 2 x 18 =
3 10

4. 8 x 27 =
9
2

5.

12 x 4 =
3

Simplify these Fractions!
6. 12 =
24

7. 6 =
18

8. Cody has 27 marbles. Five-Ninths of the marbles are purple. How many marbles are
purple?_______ are purple
9. How many are not purple? _______ are not purple

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