5.4 dividing fractions updated

14
Before the bell rings... Have your assignment out on your desk. Have your covered textbook with you. 1. 9/5 x 7/11 = 2. Which number is forty-four and four hundred four thousandths? A. 44.044 B. 44.404 C. 44.0404

Transcript of 5.4 dividing fractions updated

Page 1: 5.4 dividing fractions updated

• Before the bell rings...– Have your assignment out on your desk.– Have your covered textbook with you.

1. 9/5 x 7/11 =

2. Which number is forty-four and four hundred four thousandths?

A. 44.044 B. 44.404 C. 44.0404

Page 2: 5.4 dividing fractions updated

• Before the bell rings...– Have your assignment out on your desk.– Have your covered textbook with you.

1. 9/5 x 7/11 =

2. Which number is forty-four and four hundred four thousandths?

A. 44.044 B. 44.404 C. 44.0404

1 8/55

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Essential Questions

1. What is the value of studying fractions?

2. What is the relationship between good number sense and working with fractions?

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Fractions

Dividing

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Rule for ÷

• Change the fractions to improper fractions

• Change the problem to multiplying by the reciprocal

• Divide out common factors

• Multiply the numerator

• Multiply the denominator

• Simplify fraction into lowest terms

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Try these examples

9

7

2

1

7

9

2

1

=

= =14

9

1 2

1 5 =

2

52

121

1 5

1 2 =

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Try these examples

5

33

3

21

5

18

3

5= =

18

5

3

5 =

54

25

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GUIDED PRACTICE for Examples 1 and 2

Find the quotient. Simplify if possible.

1. 58

710

( )–

10Multiply by , the reciprocal of 5

8 –7

710

=58 –

4

5

2528

–= Multiply.

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EXAMPLE 2 Dividing a Fraction by a Whole Number

213=

3613 3

1=

6132

1

613

13=

, so the reciprocal of 3 is 313

31= 1 .

Multiply fractions. Divide out common factor.

Multiply.

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GUIDED PRACTICE for Examples 1 and 2

Find the quotient. Simplify if possible.

3. –712

34

12Multiply by , the reciprocal of 3

4 7– ––

712

=34

– 3

1

271or9

7= Multiply.

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GUIDED PRACTICE for Example 3

Find the quotient. Simplify if possible.

5. 4276

276 4

= 447

14

= 447

1 4

Multiply. Divide out common factor.

Multiply.

Multiply by , the reciprocal of447

14

Write 27

6 as improper fraction= 447

4

11

1

147

or117=

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GUIDED PRACTICE for Example 3

Find the quotient. Simplify if possible.

7. 10 133

3=

= 101 10

3

= 101

3 10

Multiply. Divide out common factor.

Multiply.

Multiply by , the reciprocal of 310

103

Write 13

3 as improper fraction= 103

10

1

10 133

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GUIDED PRACTICE for Example 3

Find the quotient. Simplify if possible.

8. –15 –2 34

58

= 634

218

6=

= 634

821

= 634

(– 8) 21

Multiply. Divide out common factor.

Multiply.

Multiply by , the reciprocal of63 4

– –218

58–2 3

4– 15

1 1

23

Write34

15 58

–2 and as improper

fractions.

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Homework

• Page 249 #1-10, 28-31, 53-54