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Fractions
1/3 – 1/41 / +1 /
           3 9             2/4 +/6
                 4/10 +1/5
    1/4 – 1/5
              ½ + ¾ 1/4 +2/6
                             1 / +5/
                               7 7

     1/ 3
      2-2/
1/12 +1/7      4/5 +1/7 4/5 +1/6
             3/4 +1/5   1/2 +1/9
 6/7 +2/7
FRACTIONS




Numerator                           Denominator




             Adding
            Fractions
A FRACTION is a
number that
represents a part of
a whole.
                       1 Whole Cake
                 4 equal cut pieces of
                 cake equals 1 whole
                 cake. Those parts of the
                 cakes are a FRA CTION of
                 the cake.                  Home
Numerator
          The number on the top is called the numerator
          It represents the part of the whole number
                          The shaded
                              part
        Numerator
                      1      is the
                           numerator

       Whole number
                      2         These 2 equal parts
                                make the whole



        Numerator
                      2
       Whole number
                      6
                                                           Next
Home
Denominator
     The number on the bottom is called the denominator
     It represents the whole number


Part of the whole
                    1
  Denominator
                    2     These 2 equal parts
                          make the
                          DENOMINATOR


   Numerator
                    2
  Denominator
                    5
                                                           Home
Adding Fractions with common
        denominator
  Is as simple as adding the 2 top
    numbers (numerators) together



      3    6    9
        +    =
     10   10   10
Adding Fractions with different
            denominators
   Fractions with different denominators need to be made
    READY first before they can be added together


   To get them READY you must find the common
    denominator


   COMMON DENOMINATOR can be found by finding the
    lowest common mulitple (LCM) of the two denominators
Finding the lowest common multiple


   The lowest common multiple of two numbers is the lowest
    number in Both lists of multiples or the lowest number both
    can be divided by
                            Multiples of 3 are 3,6,9,12,15,18.......
                            Multiples of 4 are 4,8,12,16,20,24....

       1   1                                  .
                             So the lowest common multiple is 12
         +
       3   4
You can't add fractions
1/3 + 1/4                      With different denominators




    Turn both fractions into twelfths

    For 3 to become a 12th you need to multiply it by 4

    And for 4 to become a 12th you need to multiply it by 3


1       4           4                   1         3           3
    x          =                             x            =
3       4           12                  4         3           12
Completing the Addition
     1/3 = 4/12          AND   ¼ = 3/12
4        3          7
     +          =
12       12         12

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Fractions

  • 1. Fractions 1/3 – 1/41 / +1 / 3 9 2/4 +/6 4/10 +1/5 1/4 – 1/5 ½ + ¾ 1/4 +2/6 1 / +5/ 7 7 1/ 3 2-2/ 1/12 +1/7 4/5 +1/7 4/5 +1/6 3/4 +1/5 1/2 +1/9 6/7 +2/7
  • 2. FRACTIONS Numerator Denominator Adding Fractions
  • 3. A FRACTION is a number that represents a part of a whole. 1 Whole Cake 4 equal cut pieces of cake equals 1 whole cake. Those parts of the cakes are a FRA CTION of the cake. Home
  • 4. Numerator  The number on the top is called the numerator  It represents the part of the whole number The shaded part Numerator 1 is the numerator Whole number 2 These 2 equal parts make the whole Numerator 2 Whole number 6 Next Home
  • 5. Denominator  The number on the bottom is called the denominator  It represents the whole number Part of the whole 1 Denominator 2 These 2 equal parts make the DENOMINATOR Numerator 2 Denominator 5 Home
  • 6. Adding Fractions with common denominator Is as simple as adding the 2 top numbers (numerators) together 3 6 9 + = 10 10 10
  • 7. Adding Fractions with different denominators  Fractions with different denominators need to be made READY first before they can be added together  To get them READY you must find the common denominator  COMMON DENOMINATOR can be found by finding the lowest common mulitple (LCM) of the two denominators
  • 8. Finding the lowest common multiple  The lowest common multiple of two numbers is the lowest number in Both lists of multiples or the lowest number both can be divided by Multiples of 3 are 3,6,9,12,15,18....... Multiples of 4 are 4,8,12,16,20,24.... 1 1 . So the lowest common multiple is 12 + 3 4
  • 9. You can't add fractions 1/3 + 1/4 With different denominators Turn both fractions into twelfths For 3 to become a 12th you need to multiply it by 4 And for 4 to become a 12th you need to multiply it by 3 1 4 4 1 3 3 x = x = 3 4 12 4 3 12
  • 10. Completing the Addition 1/3 = 4/12 AND ¼ = 3/12 4 3 7 + = 12 12 12