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    Mathematics Pratomsuksa 5 Chapter 4 Notes

    26

    Equivalent fractionsEquivalent fractions are fractions of the same value.

    Example:

    13

    = 26

    = 39

    To nd the equivalent fractions of a fraction, multiply or divide both thenumerator and the denominator of the fraction by the some number.

    Example: 23

    = 46

    = 812

    ;

    2 2

    2 2

    3648 = 9

    12 = 3

    4

    4 3

    4 3

    Comparing fractions

    Example:

    13

    23

    smallernumerator

    samedenominator

    greaternumerator

    ,

    Example: 13

    14

    smallerdenominator

    samenumerator

    greaterdenominator

    .

    4 F r a c t i o n s

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    Mathematics Pratomsuksa 5 Chapter 4 Notes

    27

    Example:

    34

    58

    differentdenominators

    differentnumerators

    68

    .

    58

    greaternumerator

    denominatorsequalized

    smallernumerator

    Simplest forms of fractions

    1. The simplest form of a fraction is its equivalent fraction with anumerator and a denominator that are not commonly divisible byany whole number other than 1.

    47

    , 12

    , 1317

    and 521

    are examples of simplest forms of fractions.

    Fractions equivalent to whole numbers

    1. A fraction that has the same numerator and denominator isequivalent to 1.

    22

    = 33

    = 1212

    = 1515

    = 1

    2. Fractions with numerators that are divisible by their denominators areequivalent to whole numbers.

    42

    = 2, 93

    = 3, 164

    = 4, 105

    = 2, 3010

    = 3

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    Mathematics Pratomsuksa 5 Chapter 4 Notes

    28

    Proper fractions and improper fractions 1. Proper fractions have numerators that are smaller than their

    denominators.

    23

    , 45

    , 79

    , and 1013

    are examples of proper fractions.

    2. Improper fractions have numerators that are equal to or greaterthan their denominators.

    42

    , 33

    , 75

    , and 116

    are examples of improper fractions.

    Mixed numbers 1. Mixed numbers consist of whole numbers and proper fractions.

    1 12

    , 5 35

    and 10 710

    are examples of mixed numbers.

    2. To convert a mixed number to an improper fraction, multiply thewhole number by the denominator and add the product to thenumerator. Maintain the denominator.

    Example: 2 35

    = (2 5) + 35

    10 + 3 = 5 13 = 5

    3. To convert an improper fraction to a mixed number, divide thenumerator by the denominator. Then, write the quotient as thewhole number, the remainder as the numerator and the divisor asthe denominator of the mixed number.

    Example: 13 = 13 8 8

    = 1 58

    18 13 8 5

    denominator

    whole number

    numerator

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    Mathematics Pratomsuksa 5 Chapter 4 Exercises

    29

    A Fill in the correct numbers to show the equivalentfractions.

    1. 2.

    24

    =1

    2

    23

    = 46

    3. 4.

    6

    8 =34

    45

    = 810

    B Fill in the correct numbers in the blanks.

    1.3 60 =

    4 80

    2. 1 7 = 6 42

    3. 7 70 = 12 120

    4. 12 4 = 18 6

    5. 8 2 = 20 5

    6. 70 7 = 100 10

    7.3 9 27 = =

    5 15 45

    8.4 20 40 = =

    7 35 70

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    Mathematics Pratomsuksa 5 Chapter 4 Exercises

    30

    C Fill in the symbol > or < in the boxes.

    1. 37

    39

    > 2. 18

    58

    5. 231

    235

    > 6. 442

    842