fraction form one

8/11/2019 Fraction Form One

1/21

* i l IDr

?a\lEl,:t

^n\t---=v

{

r^\v

gt

z. 'Jt

1

o b

_a-b

J , - -

you

wilt earn ..

3

Understand

nd

use the knowledge

f fractions

s

parts

of the whole.

3

Understand

nd use

the knowledge

f equivalent

ractions.

C

Understand

he concept

of mixednumbers

and their representations.

3 Understand

he concept

of

proper

ractions

and improper

ractions.

3

Understand

he

concept

of addition nd

subtraction

f fractions

o solve

problems.

3

Understand

he concept

of multipl ication

nd division f fractions

o

solve

problems.

3

Perform

computations

nvolving

ombined

operations

f addition,

ubtraction,

ultipl ication

nd

division

of

fractions

o

solve

problems.

@

1. Two

fractions

f

and

9-

are

equivalent f

and only

i faxd=bxc.

^

a b

a+b

z.- l-=_

fF

t .a*+=Zx

bdbc

4.

5.

6.

^,.

b

_axb

o

-

wu

a

,.

c

_

axc

b

^V-

b"d

4

*=c-fY-=-=

PD U

commondenominator penyebutsepunya)

denominator penyebut)

equivalent

ractions pecahan

setara)

fraction

(pecahan)

improper

raction

(pecahan

ak wajar)

lowest

erms

(sebutan

erendah)

mixed

number

(nombor

bercampur)

number ine (garisnombor)

numerator pengangka)

proper

raction (pecahan

wajar)

reciprocal salingan)

b\c

_

axd

bx c

Form

Year

2004

2005

2006 2007

2008

Paper

1

1

2

1

I

Paper

2 1

I

I

1

3j


2/21

N

u"ttrenau.rm

chapters

Fractions

ffi

Fractions

A

I

Understanding

fractions

l. A

fraction

is

a

number

that

represents

a

part

of

the

whole.

For

example,

f--1,_--l f_-]l--l

l l l i l l l l l

.+ '- ,- - - - i - - - - l

- l

l l

I

l l l r lnT

l l l r

If

a

square

is

divided

into

4

equal parts,

each

equal part

is

called

a fraction

of the

square.

2.

A

fraction

is

written

in

the

form

of

f

where

a

is

called

numerator

and

b is

called

denominator.

For example, I out of the 4 equal parts can be

written

as

a.

4

r-T---l

l l l -

r*_@

l l l -n=@

The

denominator-tells

us

the total

number

of

equal parts

into

which

the unit

is divided.

The

numerator

tells

us

how

many

of the parts

in the unit are to be taken.

I

3.

;

is read

as

bne over

four'or

bne quarteri

+

Write

the following

fractions

n

words.

Use

a diagram

fractions.

(u)

*

J

FtfirFi\

k)4

)

) ;

to represent

each

of the

following

Divide

a

circle nto

3 equal

parts.

(Denominator

3)

Shade 1

out

of the

equal

parts.

(Numerator

=

1)

Divide

a square

into

4

equal

parts.

(Denominator

4)

Shade

3 out of

the

equal

parts.

(Numerator

=

3)

Divide

a rectangle

into

5

equal

parts.

Denominator

5)

Shade

2

out of

the

equal

parts.

(Numerator

=

2)

(a)

/-T\

e/

(b)

(c)

1

(a)

a

(b)+

:)

(c)

One

over three

or one

third

Three over five

Seven

over

twenty-seven

Try

Question

I

in Pop

Quiz

3.1

.

B

Representing

fractions

with

diagrams

Steps

o

represent

a fraction

with

a diagram.

O

Draw

a

suitable

diagram

(square,

rectangle

or

circle)

@

Divide

the

diagram

into

equal

parts

shown

by

the

denominator.

O

Shade

he

number

of equal

parts

shown

by the

numerator.

.

C

I

Writing

fractions

for given

diagrams

Steps o

determine

the

denominator

and

numerator

from

a

given

diagram.

O

Count

the

number

of

equal

parts

(denominator).

@

Count

the number

of

shaded parts

(numerator).

Write

the fraction

represented

by

the shaded

parts

in

each

of the

following

diagrams.

(a)

(b)

There

are

6 equal

parts

and 5

are

shaded.

There

are

9 equal

parts

and

4 are

shaded.

7

27

(a)

(b)

(c)

q

(a)

:

6

(b)

4

9

Try

Question

2

in Pop

Quiz

3.1

Try

Question

in Pop

Quiz

3-1


3/21


4/21

N

u"tn

-.u."

m

chapters

Fractions

(b)

zle n

zF

e

't

ft

't

-

t'

-

I I

LCM

=

2x3x2

=12

4 4x2 8

6

6x2

L2

Therefore,

I

u"d,

$

urc

not

equivalent.

(c)

I

l ;

5

sF s

l l

LCM

=3x5

=15

2 2x5 10

3

3x5

15

4

4x3

L2

5

5x3

15

. 2 ,4

lheretore,

;

and

,

are

not equlvalent.

Cross-multiplication

method:

Two fractions

{

anO

9

are

equivalent f and

only

if

bd

axd=bxc.

For example,

?A

(a)

*and f

are equivalent ecause

x8

=

4

x6.

46

47

(b)

t

and

o

arenotequivalentbecause

x12+6x7.

C

I

Comparing two

fractions

1. When

we

compare wo fractions, there are three

possible

cases:

(a)

Both have the same denominator.

(b)

Both have

the same

numerator.

(c)

Both

have different denominators

and

numerators.

2.

If

two fractions have the same denominator.

the fraction with the larger numerator has the

greater

value.

Which

fraction is

greater,

Since

>

3, then

I

i,

gr"ut".

han

f.

1*1'

two

fractions.

For example,

0123.4961

777777

t

,aa

herefore,

is

greater

h

r

""7

3.

If

two

fractions have the same

numerator, the

fraction with the smaller denominator has the

greater value.

(a)

(b)

F+ilttF+,\

(a)

Since

3

s, then

f

is

less han

f.

The values of two fractionscan

also be comparedusing

diagrams.

For example,

Theshaded rea

n Diagram is bigger han he shaded

area

n Diagram .

-22

Therefore,

f

is

greater

han

t.

4. If

two

fractions have different denominators,

Q

convert

both fractions into their

respective

equivalent

fractions with the common

denominator.

@ Compare the numerators.

stion 2 in

Pop

Quiz

3.2


5/21

-EFiETTF

a

\\-hich

fraction

is greater,

r I r 1)

- t -^-

2l t 4 (b)

211

2

11

I-CM

=

3x2x2

-

1' '

I

lx4

4

3

3x4 12

Compare

he numerators

of

S

a"d

$.

Since

4

>

3, then

f

is

?

3

greater

han

f, .

Cross-multiplication

ethod:

t , * i f

and

onty f

a

x

d>

b x

c.

For

example,

f

is

oreater

nan

f

because

1x12>3x3.

f f i )sz

1.

D

I

Arranging

fractions

in

order

Steps

o arrange

fractions

in

order:

O

Convert

the given

fractions

into their

respective

equivalent

fractions

with

the

common

denominator.

O

Compare

and

arrange

n

ascending

or

descending

order

according

to

their

values

of numerators.

(a) Arrange

*,

*

*O

$

in ascendingorder.

(b)

Arrange

i,t

^"0

r

i.,

d"r..r,ding

rder.

RilTf,iN

1

lx4 4

ta l

J=

3x4=i

5

5x2

l0

6

6x2 t2

I * i '

Mathematlcs

ffi

chapter3

racuons

Since. '*

=(i .

+)"?

=

uar"

{

=33

32

=r+

4.

5.

zf , t t t - t |

zd-+|-s. l^

'$

Operations

of

Work

from left

to right.

Work

from

left

to right.

Perform

he

division

irst.

Work

out the

calculation

within

the

brackets

irst.

3

+ tq

10

^4

=-=

v

21 =3

248

l-

*

zf-

6

-3

??

' i *2 i

=+

rd

2t-+-+

.

@

combined

Fracttons

3$j

Performing

computations

invotving

combined

operations

of fractions

Steps

to

perform

computations

involving

combined

operations

of

addition,

subtraction,

multiplication,

division

of fractions

and brackets:

O

Work

out

the calculations

within

the

brackets

first.

@

Then,

multiply

or

divide from

left

to

right.

O

Lastly,

add or

subtract

from

left

to right.


17/21

Mathematics

{re

chapters

pracrrbns

N

(z]

-

$)-

t

=(+-

+)-n

=(+-

+)*n

=5+4

=i" i

5

-16

Calculate he

value of 2-l

| 4 2 \

i

t

(,

-

Z)^d

express

he

answer as

a

fraction

in its lowest

terms.

' i "G+)=+"( i?- jg)

=2i" /

A2

k5'

-10

Suhana

had

a roll of ribbon

which was Z] m tong.

14

Shecut otr If m from

the ribbon and the remaining

ribbon *u, dluid.d

into 4 equal parts. Find

the length

of each

part

of the ribbon

in m.

Therefore,

he length

of each part

of the ribbon

was

q

:m.

16

45

(b)

al , .z -s

al .z -a

3b 2

b)

1+-*"r?

tor

sj-

,#)

-

,*

15 _ I 5 13

V-t- 8

_2,20

L3

-

8

TT-

8

_9

8

1

=

I8

4.

5.

*%

Try

Questions

-

5 in Pop

Quiz

3.7

Try

Questions

I

&

2

in Pop

Quiz

3.7

fufu

f'"*

p

1. Simplify

each of

the

following.

Puan

Awanis

had

]

I of coconut milk.

She bought

1a

another

z|

t t coionut

milk and used lf

. of the

coconut milk to make

curry. Find the

volume of the

remaining coconut milk

in /.

F{rt[FTn

I , l

4

- ' t

Therefore, he volume

of the remaining coconut milk

''as

f

z.

46

(a)

4-t l*z l

q1 4

(c)

2 i

-

,T.

i

(d)

2. Evaluate

each of the following.

t " l

*

r+.+

@)

+

'(+.

+)

Puan Aminah bought a watermelon,a durian and a

pineapple.

The watermelon

weighed

Z1 Xq. fhe

'L

4

pineapple

was

1; kg lighter

than

the watermelon

d

2

and the durian

was

f

k9 heavier

han

the

pineapple.

Calculate

he mass of the

durian.

RM350 was

divided

between Fazlin

and Nurul. lf

Fazlin eceived

f

of tne money,

calculate

he amount

of

money

received

by Nurul.

Encik Tarmizihad 6ji kg of rice. He boughtanother

^

lu

a* *n

of rice. He

divided all the

rice equally into

11

packets.

Find the mass

of each

packet

of rice in

Kg.

Log

on to hftp://wrvw.visualfractions.com

or more

utorials

that

model

fractiqqg

yith

number,lines

or

circles.


18/21

lSl

rratn

-.uca

m

chapters

Fractions

["oqirq'li

The

fractions arranged

in increasing

order

ate

Arranging

the

fractions

according

to the

numerators

without

changing

he

fractions

into their

respective

equivalent

fractions

with the common

denominator.

Example

i

1 I .4

Arrange

, i

and

f

in

increasingorder.

)z t

EF$PI*}'

simplify

+

-

+

.n,

calculate

+

-

+

X h*rtuu

j

,3t

-

9

4r '

7 14

The

'+'sign

is

not

changed

o

'x'

sign

and

the

divisor

s not

written

as

its reciprocal.

r'

en=*wtt

)

_

7xr4

-

42)

5

5x14

70

|

l_lxl5=15f

2

2x35

70l

4

_

4xto

_

40

|

7 TxlO

70)

The

LCM of 5,

2 and

7 is

70.

Compare

he

numerators.

Since

f5

fraction form one

Documents