3 Fractions Form 1

8/17/2019 3 Fractions Form 1

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Reading Fractions

A fraction is made up of a numeratorand a denominator

25

numerator

denominator

2 is read as two over five5

3

4

numerator

denominator

3 is read as three over four

4

or , three quarters.

(a)

(b)

3.1 Fractions


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Representing Fractions With Diagrams

A fraction is the number that represent

parts of a whole.

We can represent a fraction with a diagram. or

e!amp"e, # means $ out of 4 equa" parts. %oo&

at the diagram be"ow. 't can be drawn torepresent a fraction.

ivided into 4

equa" parts and

$ part isshaded.

The shaded part represent $

4


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Representing Fractions With Diagrams


parts of a whole.rawing suitab"e diagram to represent the

fractions.

2

3

5

3

*


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Writing Fractions For Diagrams


parts of a whole.+!amp"e Write the fraction that represent the

shaded parts for each of the fo""owing.

$

3

-

$4 4

*

$

2


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3.2 Equivalent FractionsIn the diagrams below, the shaded parts

are equal size. There for, 1 = 2 = 4 2 4

are equiva"ent fractions,

because the/ are the

same va"ue.

1 , 2 , 4

2 4 $

2

24

4

*

0 who"e part


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3.2 Equivalent Fractions!inding equi"alent fractions for a gi"en

fraction.

+!amp"es

$2 $2

1

1

Therefore, 6

12

is equivalent to 1

2

5 24

1 4

1 4

Therefore, 20

24

is equivalent to 5

6

2 23 4

-

Therefore, 3

4

is equivalent to 27

36

3

-


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Fractions Arranging !ractions in &rder

0 number "ine can be used to arrange fractionsin order.

$

2

3

4

5

$0 who"e divided into si! equa" parts.

$ $

3 $

5$

4$

$

$ $

0 who"e divided into ten equa" parts.

2 $

*$

-$

$$

a)

b)


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Fractions Arranging !ractions in &rder

0 number "ine can be used to arrange fractionsin order.

$ $

3

$5

$4

$

$

$ $ 2

$

*

$

-

$

$

$

+!amp"e

0rrange in increasing order3

$

$

5-

$4

5

3

5

$, , , , , ,

o"ution

0 who"e divided into ten equa" parts.

$

5

4

5

3

5

Therefore, are arranged in increasing order$

5

3

54

5

$

-

$

3

$, , , , , ,


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Fractions$implif'ing !ractions To (owest Term

%owest term is the simp"est form. Thenumerator and denominator have no common

factor other than $.

+!amp"e

imp"if/ $ to "owest term. 2*

o"ution

ind the 67 of $ and 2*.

$ , 2*

* , $4

4 ,

2

2

67 2 ! 2 4$ $ 4 4

2* 2* 4


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3.3 Mixed Numers A )i*ed numbers has a whole number

and a proper fraction.

$

43 2

3$ $

24

*2

+!amp"e of mi!ed numbers are

, , ,

$

43

8epresent the

who"e number

8epresent the

fraction #

0 who"e number

0 fraction


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3.! "roper and #mproper Fractions

A proper fraction is a fraction in which the numerator

is smaller than the denominator

5

-

3

$3

$$

2-

$

$*

+!amp"e of proper fractions are

, , ,

An improper fraction is a fraction in which the numerator

is equal to or greater than the denominator

4

*

3

3$

2

2$

*

+!amp"e of improper fractions are, , ,


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#hanging )i*ed +umbers Into Improper !ractions

3

*2

* parts represent

a who"e

$-

*

ivide into * equa" parts

9i!ed :umber

'mproper

fraction


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#hanging )i*ed +umbers Into Improper !ractions

5

*2

*ample%

-rite as an improper fraction.

( * ! 2 ) ; 5

*

$ ; 5 *

2$

*

5

*2

$olution%


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3.$ %ddition and &utractiono' Fractions

=

$5

25

35

=

or fractions with common denominators,we add the numerators and "eave the

numerator unchanged.


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3.$ %ddition and &utractiono' Fractions

33

5

3

$

-

$

=

+!amp"e $

$

3

$

=

3

5

$

4/

=

+!amp"e 2

$22

52

=

3 /

3

2

= 3 2


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3.( Multiplication and Divisiono' Fractions

4 2

-

*

-

*

=

+!amp"e $

=

4 2*-

2 3

4

3

*÷

=

+!amp"e 2

$$4

3*

= *

= 22

3

÷

$$

4

*

3$

2

Recirocal

of 3 is 8

8 3


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3.) *omined +perations

In a hall, there are 5 students, 2 of students are

)ala's. are #hinese and the rest are Indians.

6

The number of Indians students in the hall is,

!olution"&raction of 'n(ians % 1 ) 2 ) 3

1 5 7

% 35 ) 14 * 15 35

% 6

35

o, the number

of 'ndian

students is, ! 35

35

students.

+!amp"e


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3 Fractions Form 1