Copyright©amberpasillas2010 MULTIPLYING FRACTIONS

copyright©amberpasillas2010

MULTIPLYING

FRACTIONS


If I have one-half of a one-fourth piece, how

much will I have compared to a whole

square?


Multiply ½ times ¼

x =

½ ¼



x =

½ ¼



x =

½ ¼ 1/8

1

8


If I have three-fifths of a three-fourths piece, how much will I have compared to a whole

square?


Multiply 3/5 times 3/4

x =

3/5 3/4



x =

3/5 3/4



x =

3/5 3/4 = 9/20

9

20


If I have one-half of a two thirds piece, how

much will I have compared to a whole

square?


Multiply ½ times 2/3

x =

½ 2/3



x =

½ 2/3



x =

½ 2/3 = 2/6

= 1/3

2

6

1

3


Multiplying Fractions Model3 3Model .4 5

34

35

9 out of 20 boxes shaded

920

Check! 3 34 5

920


Area Model for Multiplication2 1Model .3 4

23

14

2 out of 12 boxes shaded

212

16

Check! 2 13 4

212

16

22

22


You are going to get a new study guide titled MULTIPLY FRACTIONS MODEL

You can use this on your test!

Take a look at the 1st example!


If I have one-third of a one-half piece, how much will I have compared to a whole square?

Draw one-third (horizontal)

Draw one-half (vertical)

1

3

1

2

What is 1/3 of ½? Draw a picture.





1

3

1

2

What is 1/3 of ½? Draw a picture.





1

3

1

2

What is 1/3 of ½? Draw a picture. NOW TRY EXAMPLE#2 We will do

this together. Watch as I show you

how to do it.

1 1

3 2

1

6

1

6


Try example # 2 on the front right side.3 2

4 3

hor3

Dra izow 4

ntal v2

D erraw 3

tical

Now put them both together on one drawing.

What did you get? 6

12

6

6

1

2


Follow the examples shown to solve each fraction

problem. Draw a picture, label it, and circle your

answer.


1) Two-thirds times one-fourth?2 1Model .3 4

23

14

212

16

2

2

Try the rest of your study guide.

I will ask for volunteers in about 5 minutes.


Study Guide ANSWERS3 1

2)4 3

3

12

3

3

1

4

4 33)

5 4

12

20

4

4

3

5

2 14)

3 5

2

15


Multiplying Fractions

2 43 5

2 43 5

815

7 31 4

7 31 4

214

374

154

1 512 8

3 52 8

3 52 8

1516


–18 6=

–2(9) 3(2)

Simplify.

–3=

Multiply numerators.

Multiply denominators.

1 2

2 3

–


4 Write4 as an improper fraction.12


Cross Canceling

5 96 10

4560

34

Cross-Canceling - Reducing before you multiply.

5 96 10

2

1

2

33 4

1515

3

5


Cross Canceling

3 161) 8 27

9

1

1

22 9

7 53) 8 21

3

15

24

1 12) 2 34 3

1

3

2

5152

9 104 3

172

1 14) 2 13 14

1

552

7 153 14

122

2

1

8

3

2

3

7

3

7


Take Out Your Study Guide!!!



Draw negative one-half (vertical)

1

3-1 2

What is of ? Draw a picture (overlay them).

#14

1 1

3 2

1

3

1

2

1

6

1 3

1

2

1

6

+ • – = –


Multiply

43

72 = 28

6

6)284

244

= 234

You do NOT need common denominators Multiply the numerators and denominators straight across.

#15

Change the improper fraction to a mixed number4

6÷

÷22

Reduce!

4 46

7 4

2 3


Extras


3 21) 5 7

42) 105

1 23) 2 13 5

635

10 41 5

405

8

7 73 5

4915

4315



4 54) of 7 9

1 35) of 22 5

2063

1 132 5

1310

3110

4 57 9

1 322 5





1

3 1 2

What is of ? Draw a picture (overlay them).

#Extra

1 1

3 2

1

3

1

2

1

6

1 3

1

2

1

6

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Copyright©amberpasillas2010 MULTIPLYING FRACTIONS