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Look at the shaded part in these shapes:
A fraction is part of a whole.


   1           3          2           3
   2           4          3           8

       1   3       2   and 3   are called
       2   4       3      8


       Fractions
If we cut the tart into 6 equal parts, this is what we get.
             Each part is called one sixth.
                           1
                     1     6      1
                     6            6
                      1            1
                           1
                      6            6
                           6
 1
 6
     +
         1
         6
             +
                 1
                 6
                     +
                          1 1
                           +
                          6 6
                                   +
                                       1
                                       6
                                           =
                                               6
                                               6
                                                   =
                                                       1
This pie is divided into 6 equal parts.

    1                                1
                     If we cut off
1   6     1                          6
6         6

1             1         The
     1
6             6         remaining
     6
                        part is:
                                      5
                                      6
This pie is divided into 8 equal parts.

                                     1
                     If we cut off
                                     8
                        The
                        remaining
                        part is:
                                      7
                                      8
A Fraction is made up of 2 numbers

The top number
  is called the     3   numerator




                    8
The bottom number
    is called the       denominator
What fraction of this shape is shaded?
                    3
                    4
                1       2
                        3
                    1
                    2


    numerator       3
Tells us how
many parts
are shaded.         4           denominator
                            Tells us in how many
                            parts the shape is divided.
What fraction of each shape is shaded?

     5                           5
A=                            C=
     8                           6


                   7
             B   =
                   10
                              3
                         D=   8
What fraction of the circles are blue?




      1 of the circles are blue.
      5
Look at these shapes




  1 1            1 3            1 1
  2 2            8 8            2 4
What fraction of each of these shapes is
What fraction of each of these shapes is
                 blue?
                 red?
Although divided the shaded parts:
    Look closely at into different parts,
     Equivalant Fractions
       the same area is shaded.




If we multiply the numerator and the
 denominator by the same number
                we get
Equivalant Fractions
Are these equivalent fractions ?



          x??
1
             Find equivalent fractions to   3


                        1 Whole
              1
              3
         1
         6
     1
     9
 1
12

 1
15


1 2               1 3             1 4       1 5
 =                 =               =         =
3 6               3 9             3 1       3 15
When fractions have a common denominator it is
                  easier to :
             compare them
         Which is the biggest fraction?


          17                   3
                      o
          20          r        4
                            3 15
                               x5

                              x5 =
                            4      20
When fractions have a common denominator it is
                   easier to :
                      add them
                                           3 12
                                              x4

  1= 5
     x5
                                               =
                    1          3           5 x4 20
  4x5 20                   +
                    4          5
   We need to find equivalent fractions with a common
enominator. The Least Common Multiple of 4 and 5 is 20.

                5 + 12   17
                       =
                20 20    20
When fractions have a common denominator it is
                    easier to :
                   subtract them
                                           1     5
                                             x5

   3= 6
      x2

                      3         1              =
                                           2 x5 10
   5 x2 10            5
                           -
                                2
    We need to find equivalent fractions with a common
denominator. The Least Common Multiple of 5 and 2 is 10.
                6         -
                            5     1
                               =
                10          10   10
Although divided the shaded parts:
   Look closely at into different parts,
    Equivalant Fractions
      the same area is shaded.



                                               n
                                      fra ctio
                                is a
                                         n its ms
            ÷4                     lo
                                       i
                                      wes
                                           t ter

            ÷ 4 =

If we divide the numerator and the
denominator by the same number
             we also get
Let us reduce 6 to its lowest terms:
               8

                                    3
          Factors of 6


                                  =
                                    4
          Factors of 8




   3
     is a fraction in its lowest terms
   4
When the numerator
is less than
the denominator   The   fraction is called an
     e
     x
     a
                        Proper Fraction
     m
     p
                It is always less than the whole.
     l
     e
     s




     1         3           2             3
     2         4           3             8
When the numerator
is greater than
 the denominator

                The fraction is called an
 e
 x
 a                Improper Fraction
 m
 p             It is always more than the whole.
 l
 e
Improper Fractions can be changed
      into Mixed Numbers




   5        2    r1
                              1
   2
     =    2 5         =   2   2
Let`s play some
What fraction of the people have…..




                         1 3 3 1 1
black hair ?
blonde hair ?
blue trousers
Red jumpers ?
purple trousers ?
                         2 4 8 4 8
What fraction of
the Fripples is ….



   spotted
       1
       2
What fraction of
the Fripples is ….



    striped
        1
        6
What fraction of
the Fripples wear



sunglasses
        1
        4
What fraction of
the Fripples is



    purple
        1
        3
What fraction of
the Fripples have ..



 Curly hair
        2
        9
What fraction of
the Fripples have ..



    Short
   straight
     hair
        1
        3
2
    3


4   3   4
6   9   6
16
     20


2     4   4
10    5   5
24
        5


                     4
4
    4
    5   5
             4
             5
                 4   5
2
    3
    3



9       11   11
3       3    3
Fractions: Making sense

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Fractions: Making sense

  • 1.
  • 2. Look at the shaded part in these shapes: A fraction is part of a whole. 1 3 2 3 2 4 3 8 1 3 2 and 3 are called 2 4 3 8 Fractions
  • 3. If we cut the tart into 6 equal parts, this is what we get. Each part is called one sixth. 1 1 6 1 6 6 1 1 1 6 6 6 1 6 + 1 6 + 1 6 + 1 1 + 6 6 + 1 6 = 6 6 = 1
  • 4. This pie is divided into 6 equal parts. 1 1 If we cut off 1 6 1 6 6 6 1 1 The 1 6 6 remaining 6 part is: 5 6
  • 5. This pie is divided into 8 equal parts. 1 If we cut off 8 The remaining part is: 7 8
  • 6. A Fraction is made up of 2 numbers The top number is called the 3 numerator 8 The bottom number is called the denominator
  • 7. What fraction of this shape is shaded? 3 4 1 2 3 1 2 numerator 3 Tells us how many parts are shaded. 4 denominator Tells us in how many parts the shape is divided.
  • 8. What fraction of each shape is shaded? 5 5 A= C= 8 6 7 B = 10 3 D= 8
  • 9. What fraction of the circles are blue? 1 of the circles are blue. 5
  • 10. Look at these shapes 1 1 1 3 1 1 2 2 8 8 2 4 What fraction of each of these shapes is What fraction of each of these shapes is blue? red?
  • 11. Although divided the shaded parts: Look closely at into different parts, Equivalant Fractions the same area is shaded. If we multiply the numerator and the denominator by the same number we get
  • 13. Are these equivalent fractions ? x??
  • 14. 1 Find equivalent fractions to 3 1 Whole 1 3 1 6 1 9 1 12 1 15 1 2 1 3 1 4 1 5 = = = = 3 6 3 9 3 1 3 15
  • 15. When fractions have a common denominator it is easier to : compare them Which is the biggest fraction? 17 3 o 20 r 4 3 15 x5 x5 = 4 20
  • 16. When fractions have a common denominator it is easier to : add them 3 12 x4 1= 5 x5 = 1 3 5 x4 20 4x5 20 + 4 5 We need to find equivalent fractions with a common enominator. The Least Common Multiple of 4 and 5 is 20. 5 + 12 17 = 20 20 20
  • 17. When fractions have a common denominator it is easier to : subtract them 1 5 x5 3= 6 x2 3 1 = 2 x5 10 5 x2 10 5 - 2 We need to find equivalent fractions with a common denominator. The Least Common Multiple of 5 and 2 is 10. 6 - 5 1 = 10 10 10
  • 18. Although divided the shaded parts: Look closely at into different parts, Equivalant Fractions the same area is shaded. n fra ctio is a n its ms ÷4 lo i wes t ter ÷ 4 = If we divide the numerator and the denominator by the same number we also get
  • 19. Let us reduce 6 to its lowest terms: 8 3 Factors of 6 = 4 Factors of 8 3 is a fraction in its lowest terms 4
  • 20. When the numerator is less than the denominator The fraction is called an e x a Proper Fraction m p It is always less than the whole. l e s 1 3 2 3 2 4 3 8
  • 21. When the numerator is greater than the denominator The fraction is called an e x a Improper Fraction m p It is always more than the whole. l e
  • 22. Improper Fractions can be changed into Mixed Numbers 5 2 r1 1 2 = 2 5 = 2 2
  • 24. What fraction of the people have….. 1 3 3 1 1 black hair ? blonde hair ? blue trousers Red jumpers ? purple trousers ? 2 4 8 4 8
  • 25. What fraction of the Fripples is …. spotted 1 2
  • 26. What fraction of the Fripples is …. striped 1 6
  • 27. What fraction of the Fripples wear sunglasses 1 4
  • 28. What fraction of the Fripples is purple 1 3
  • 29. What fraction of the Fripples have .. Curly hair 2 9
  • 30. What fraction of the Fripples have .. Short straight hair 1 3
  • 31. 2 3 4 3 4 6 9 6
  • 32. 16 20 2 4 4 10 5 5
  • 33. 24 5 4 4 4 5 5 4 5 4 5
  • 34. 2 3 3 9 11 11 3 3 3