lesson 9 multiply and divide fractions

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  • 8/13/2019 Lesson 9 Multiply and Divide Fractions

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    Mr. C Chapter 1: Lesson 9: Multiply and Divide Fractions 1

    Lesson 9: Multiply and Divide Fractions

    ObjectiveIn this lesson, students will learn to multiply and divide fractions.

    Multiply Fractions

    Steps1. Multiply the numerators2. Multiply the denominators3. Find the factors of the numerator and denominator4. Cancel common terms5. Solution

    Example 1Multiply the fraction and write the solution in simplest form.

    Fraction Multiply Numerators Multiply Denominators

    4

    3*

    6

    5

    5 * 3

    15

    6 * 4

    24

    Factor Numerator Factor DenominatorThe factor of 15 are

    3*5

    The factor of 24 are

    2*2*2*3

    Cancel Common Factors

    8

    5

    4

    3*

    6

    5

    Solution

    8

    5

  • 8/13/2019 Lesson 9 Multiply and Divide Fractions

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    Mr. C Chapter 1: Lesson 9: Multiply and Divide Fractions 2

    Lesson 9: Multiply and Divide Fractions

    Practice 1Multiply each fraction and write the solution in lowes terms.

    1.3

    2*

    8

    4

    2.5

    4*

    30

    15

    3.2

    1*

    40

    25

    4.6

    1*

    12

    3

    5.9

    27*

    27

    9

    6.7

    5*

    50

    50

    7.7

    2*

    16

    14

    8.9

    7*

    7

    21

    9.64

    70*

    70

    64

    10.13

    39*

    39

    13

    11.4

    3*

    6

    4

    12.3

    5*

    6

    3

    13.20

    12*

    15

    10

    14.18

    14*

    12

    9

    15.4

    1*

    5

    5

    16.14

    28*

    28

    14

    17.32

    16*

    8

    32

    18.2

    1*

    30

    20

    19.7

    6*

    16

    15

    20.9

    5*

    144

    144

    21.110

    100*

    100

    110

    Answers

    1) __________2) __________3) __________4) __________5) __________6) __________7) __________8) __________9) __________10)__________11)__________12)__________13)__________14)__________15)__________16)__________17)__________18)__________19)__________20)__________21)__________

  • 8/13/2019 Lesson 9 Multiply and Divide Fractions

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    Mr. C Chapter 1: Lesson 9: Multiply and Divide Fractions 3

    Lesson 9: Multiply and Divide Fractions

    Divide Fractions

    Steps1. Invert the second fraction and change the division symbol to multiplication.2. Multiply the numerators3. Multiply the denominators4. Find the factors of the numerator and denominator5. Cancel common terms6. Solution

    Example 1

    Divide the fraction and write the solution in simplest form.

    Fraction Invert Fraction Multiply Numerators Multiply Denominators

    3

    2

    7

    4

    2

    3*

    7

    4

    Flip second fraction and

    change the division

    symbol to multiplication.

    4 * 3

    12

    7 * 2

    14

    Factor Numerator Factor Denominator

    The factor of 12 are

    2*2*3

    The factor of 24 are

    2*7

    Cancel Common Factors

    7

    6

    2

    3*

    7

    4

    Solution

    7

    6

  • 8/13/2019 Lesson 9 Multiply and Divide Fractions

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    Mr. C Chapter 1: Lesson 9: Multiply and Divide Fractions 4

    Lesson 9: Multiply and Divide Fractions

    Practice 1Divide each fraction and write the solution in lowes terms.

    1.3

    2

    8

    4

    2.5

    4

    30

    15

    3.2

    1

    40

    25

    4.6

    1

    12

    3

    5.9

    27

    27

    9

    6.7

    5

    50

    50

    7.7

    2

    16

    14

    8.9

    7

    7

    21

    9.64

    70

    70

    64

    10.13

    39

    39

    13

    11.4

    3

    6

    4

    12.3

    5

    6

    3

    13.20

    12

    15

    10

    14.18

    14

    12

    9

    15.4

    1

    5

    5

    16.14

    28

    28

    14

    17.32

    16

    8

    32

    18.2

    1

    30

    20

    19.7

    6

    16

    15

    20.9

    5

    144

    144

    21.110

    100

    100

    110

    Answers

    1) __________2) __________3) __________4) __________5) __________6) __________7) __________8) __________9) __________10)__________11)__________12)__________13)__________14)__________15)__________16)__________17)__________18)__________19)__________20)__________21)__________

  • 8/13/2019 Lesson 9 Multiply and Divide Fractions

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    Mr. C Chapter 1: Lesson 9: Multiply and Divide Fractions 5

    Lesson 9: Test Your Knowledge

    Multiply or Divide each fraction.

    1.5

    3*

    6

    4

    2.5

    4*

    30

    5

    3.10

    5*

    40

    15

    4.12

    13

    12

    13

    5.20

    2

    20

    4

    6.10

    5

    8

    6

    7.4

    3*

    9

    6

    8.7

    3

    7

    2

    9.70

    7

    70

    6

    10.13

    39*

    39

    13

    11.4

    14

    6

    14

    12.30

    5

    6

    9

    13.20

    1

    15

    10

    14.27

    4*

    10

    9

    15.4

    3*

    5

    5

    16.14

    8*

    28

    4

    17.32

    6

    8

    2

    18.2

    1

    3

    2

    19.9

    6

    16

    1

    20.9

    6

    14

    4

    21.22

    10*

    10

    11

    Answers

    1) __________2) __________3) __________4) __________5) __________6) __________7) __________8) __________9) __________10)__________11)__________12)__________13)__________14)__________15)__________16)__________17)__________18)__________19)__________20)__________21)__________