multiply mixed numbers

7/23/2019 Multiply Mixed Numbers

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I don’t know what you’ve been told

Fractions are the way to go

Fractions, fractions, don’t you know?

Each operation has a different flow

Sound off, 7/8

Knock it on down , 3/4

All the way down, 5/8, 1/2, 3/8, 1/4!

Adding and subtracting are so cool

It’s quite easy, here’s the rule

Change the denominators so they match

Then add the numerators, that’s the

catch

Sound off, 7/8


All the way down, 5/8, 1/2, 3/8, 1/4!

Multiplication rules, we can name

The denominators aren’t the sameMultiply the tops and then the bottoms

Simplify and then you got ‘em!

Sound off, 7/8


All the way down, 5/8, 1/2, 3/8, 1/4!

Dividing fractions, that’s the test

It’s more confusing than the rest

We don’t divide we multiply

By the reciprocal, and that’s no lie!

Sound off, 7/8


All the way down, 5/8, 1/2, 3/8, ooh rah!



Learn to multiply mixed numbers.

Course 1

5 Multiplying Mixed Numbers



Course 1


To write a mixed number as an improper fraction,start with the whole number, multiply by thedenominator, and add the numerator. Use the

same denominator.

Remember!

1

5 __

11 • 5 + 1

5 _________ 6

5

__ = =



Course 1


Additional Example 1A: Multiplying Fractions

and Mixed Numbers

Multiply. Write the answer in simplest form.

A.•

1

1

4

__ 1

3

__

Write 1 as an improper fraction. 1 =4

3 __1

3 __1

3 __1

4 __ 4

3 __

•

1 • 4

4 • 3 _____ Multiply numerators. Multiply denominators.

4

12 __

1

3 __ Write the answer in simplest form.



Course 1


1.Wr i te down the pr obl em

2.Whol e Number ? Put a 1 under i t.

3.Mi xed Number ? Make i nto i mpr oper f racti on

4.Cr oss Cancel both si des

5.Mul ti pl y str ai ght acr oss

6.R educe if necessary. Don’t over r educe!

7.I mpr oper Fr acti on? Stewi e? Make i nto Mi xed

Number



Course 1


Additional Example 1B: Multiplying Fractions

and Mixed Numbers

Multiply. Write the answer in simplest form.

B. 3•

1

2

__ 4

5

__


2 __1

2 __1

2 __7

2 __ 4

5 __

•

7 • 4


28

10 __

14

5 __ Write the answer in simplest form. You

can write the answer as a mixed number.

4

5 __

= 2


http://slidepdf.com/reader/full/multiply-mixed-numbers 7/13Course 1


Try This: Example 1B

Multiply. Write each answer in simplest form.

B. 2 •

2

3 __ 5

6 __

Write 2 as an improper fraction. 2 = 83

__23

__23

__83

__ 56

__•

8 • 5


4018

__

20

9 __ Write the answer in simplest form. You

can write the answer as a mixed number.

2

9 __

= 2




Try This: Example 1C


C. • 314

15 __ 2

7 __


7 __2

7 __2

7 __1415 __ 237 __•

2 • 2315 • 1

______

Use the GCF to simplify before multiplying.

46

15 __ You can write the answer as a mixed

number.

1

15 __

= 3

2

1

14

15 __ 23

7 __

•




Additional Example 2C: Multiplying Mixed

NumbersFind each product. Write the answer in simplest form.C. 2 • 4

2

5 __

Use the Distributive Property.

Add.

4

5 __8 +

2 • 42

5

__

2 • (4 + )2

5 __

(2 • 4) + ( 2 • )

2

1 __

Multiply.

(2•

4) + (•

)

2

5 __

2

5 __

4

5 __8




Try This: Example 2A

Find each product. Write the answer in simplest form.

A. 1 • 23

4 __ 1

6 __

7

4

__ 13

6

__•

7 • 13

4 • 6 ______

Multiply numerators. Multiply denominators.

91

24

__

19

24 __ You can write the improper fraction as a

mixed number.

Write the mixed numbers as improper

fractions. 1 = 2 =7 4

__ 136

__34

__ 16

__

3




Try This: Example 2B


B. 1 • 32

9 __ 3

5 __

11

9

__ 18

5

__•

11 • 2

1•

5

______

Use the GCF to simply before multiplying.

22

5 __

Multiply numerators. Multiply denominators.

Write the mixed numbers as improper

fractions. 1 = . 3 =119

__ 185 __29

__ 35 __

Simplify.2

5 __

4

11

9 __ 18

5 __

•

2

1




Try This: Example 2C


C. 3 • 61

5 __

Use the Distributive Property.

Add.

3

5 __18 +

3 • 61

5

__

3 • (6 + )1

5 __

(3 • 6) + ( 3 • )

3

1 __

Multiply.

(3•

6) + (•

)

1

5 __

1

5 __

3

5 __18



Lesson Quiz


1. 3 2. 1


3. 2 • 1 4. 5 • 3

5. A nurse gave a patient 3 tablets of a medication. If each

tablet contained grain of the medication, how much

medication did the patient receive?

2

Insert Lesson Title Here

Course 1


5

8

__ 1

5

__ •

5

7

__ 7

10

__ •

14

__ 15

__ 15

__ 16

1

2

__

120 __

13

14

__

2 34

__

grain7

40

__

multiply mixed numbers

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