Lesson 8 Simplifying Fractions

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  • 8/13/2019 Lesson 8 Simplifying Fractions

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  • 8/13/2019 Lesson 8 Simplifying Fractions

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    Mr. C Chapter 1: Lesson 8: Simplifying Fractions 2

    Lesson 8: Simplifying Fractions Name:______________

    Date:_______________

    Practice 1Find the prime factorization of each number.

    15 10 24

    20 16 18

    25 14 8

    27 26 32

    50 49 54

    58 62 80

    70 90 56

    Answers1) __________

    2) __________

    3) __________

    4) __________

    5) __________

    6) __________

    7) __________

    8) __________

    9) __________

    10) __________

    11) __________

    12) __________

    13) __________

    14) __________

    15) __________

    16) __________

    17) __________

    18) __________

    19) __________

    20) __________

    21) __________

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    Mr. C Chapter 1: Lesson 8: Simplifying Fractions 3

    Lesson 8: Simplifying Fractions

    Renaming Fractions in Simplest FormSteps1. Factor the numerator

    2. Factor the denominator

    3. Substitute numerator and denominator by the factors

    4. Cancel common terms

    5. Solution

    Example 1

    Simplify20

    15to its lowest terms.

    Factor the numerator Factor the denominator

    Substitute numerator and denominator by the factors

    5*2*2

    5*3

    20

    15

    Cancel Common Terms

    Solution

    4

    3

    20

    15

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    Mr. C Chapter 1: Lesson 8: Simplifying Fractions 4

    Lesson 8: Simplifying Fractions Name:______________

    Date:_______________

    Practice 1Simplify each fraction to its lowes terms.

    1.

    8

    4

    2.

    30

    15

    3.

    40

    25

    4.

    12

    3

    5.

    27

    9

    6.

    50

    50

    7.

    16

    14

    8.

    7

    21

    9.

    70

    64

    10.

    39

    13

    11.

    6

    4

    12.

    6

    3

    13.

    15

    10

    14.

    12

    9

    15.

    5

    5

    16.

    28

    14

    17.

    8

    32

    18.

    30

    20

    19.

    100

    98

    20.

    144

    144

    21.

    100

    110

    Answers1) __________

    2) __________

    3) __________

    4) __________

    5) __________

    6) __________

    7) __________

    8) __________

    9) __________

    10) __________

    11) __________

    12) __________

    13) __________

    14) __________

    15) __________

    16) __________

    17) __________

    18) __________

    19) __________

    20) __________

    21) __________