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K. J. SOMAIYA B.ED COLLEGE
Name       : Rajeshree K. Bhanushali
Subject : Mathematics.
Topic      : Fraction
Standard : 7th
CONTENTS

 Fraction
 Comparing fraction
 Equivalent fraction
 Like fraction
 unlike fraction
 History of fraction
Fractions for 7th standard students  by Rajeshree K. Bhanushali
If there are five people &each
  has equal share than what
piece would each person get?
It would be one fifth part
FRACTION
 • By dividing a whole
number into equal parts
   we create fraction.
0                                               1
 A B        C     D E         F      G H
0/8   1/8   2/8   3/8   4/8   5/8   6/8   7/8   8/8
Quarter to 12

In Maths test
Sapana got 28/30
Tarang got 7/30
Two have been
eaten by cat




There are six
pastries
Earth
What fraction of
earth is
surrounded by
water?
How many   are in        ?       2

How many   are in        ?       3

                                 2
How many        are in       ?


How many       are in        ?
                                 2
If   =1        2
          =   ?6

          =?4
              6
Comparing Fractions
    What would you like       or       of a
                          1        1
                                   5
    bar of chocolate ?
                          4




     This 1/5
                                       1
                                       4
-

total number of parts, LCM =20
1/4=1 5/4 5
1/5=1 4/5 4                 1                 1
5/20>4/20                   4 Bigger than     5
Compare the fractions.

(a)1/2 & 1/3      LCM of 2 &3 = 6
                    1/2=1 3/2 3 =3/6
                   &1/3= 1 2/3 2=2/6,
                   3/6>2/6 ,1/2>1/3
(b)2/8 & 5/20
                  LCM=40, 2/8 =2 5/8 5=10/40
                        & 5/20=5 2/20 2=10/40
                            2/8=5/20
                Such fractions are called as
                equivalent fraction
Equivalent fraction



        =
EQUIVALENT FRACTION
Divide pastry between two person.what
fraction of pastry each person would get?


                   =?



                   =?
History of Fraction
Egyptian Fraction




       +

 Unit fraction
Fraction came from the hindus by Brammagupta
without fraction bar.
                       1 For e.g.
                         3
Arab came up with bar.

The common denominator was found by
multiplying the denominators.

In the seventh century, the least common
multiple was used extensively when adding and
subtracting fractions.
Like Fraction




          +
Same denominator

just add/subtract numerator
Unlike Fraction

                 LCM 12
                      2 4,3
    +                 2 2,3
=   +                 3 1,3
                        1,1
=   +
=   +       =
LCM=9,
Any question?



Thank
you

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Fractions for 7th standard students by Rajeshree K. Bhanushali