Fraction Notes for student

This is a fraction. It can be written as 1 ÷ 2

So = 1 ÷ 2 They are both the SAME
Example of fraction  2 ÷ 3 = 7 ÷ 3 = , = 4 ÷ 7 , = 5 ÷ 11

Numerator UP
Denominator Down

This is a Proper fraction. Numerator Small N
D
Bisai Denominator Big

BUT it still can be made smaller e.g. ÷2 or ÷5
÷5
÷2

This is a Improper fraction. Numerator Big N
Denominator Small D
Inda Bisai

Express = Change This is a Mix fraction Whole Number + Proper Fraction


Simplest form = Mix / proper fraction

Q. Express the following into its simplest form.
33
4+8

STEP 2 SUCCESS (S2S)
1) Denominator MUST be the SAME

2) Change the SMALLER denominator

33
4 X+2 8
3) Multiply Denominator & Numerator by the SAME Number.

3 X2 3
4 +X2 8

4) Add the Numerator ONLY

63 9
8+8=8

Is the Numerator BIG-Simplest form (Go to 5)
Small – Factors (Go to 6)

5) SIMPLEST FORM

w

D

N

6)FIND FACTORS of BOTH number

Answer:

Q. Express the following to its simplest form.

21
54+23

STEP 2 SUCCESS (S2S)

1) SPLIT THE WHOLE NUMBER AND FRACTION
21

5 4+2 3

WHOLE NUMBER FRACTION
5+2
21
Just ADD 4+3
a) Denominator MUST be the SAME
5+2=7
b) Change the SMALLER denominator

c) IF CANNOT Multiply the two denominator &

Numerator with EACH OTHER

2 XX33+ 1 X4
4 3 X4
d) Denominator and numerator must be

multiplied by the same number

e) Add Numerator Only

6 4 10
12 + 12 = 12
Is the Numerator BIG-Simplest form

Small - Factors

f) FIND FACTORS of BOTH number

(Sifir apa yang ada dua nombor itu)

2 x __ = 10 , 2 x __ = 12

10 ÷÷22= 5
12 6

2) PASTE together

21 5
: 5 4 + 2 3 = 7 6

Q. Express the following to its simplest form.

21
54−23

STEP 2 SUCCESS (S2S)

1) SPLIT THE WHOLE NUMBER AND FRACTION
21

5 4−2 3

WHOLE NUMBER FRACTION
5-2
21
Just SUBTRACT 4+3
a) Denominator MUST be the SAME
5-2=3 b) Change the SMALLER denominator

c) IF CANNOT – Multiply the two denominator &
Numerator with EACH OTHER
2 X3 1 X4
4 X3 − 3 X4

d) Denominator and numerator must be
multiplied by the same number

e) Subtract Numerator Only

6 42
12 − 12 = 12
Is the Numerator BIG-Simplest form

Small - Factors

f) FIND FACTORS of BOTH number
(Sifir apa yang ada dua nombor itu)

2 ÷2 1
12 ÷2= 6

2) PASTE together

21 1
: 5 4 − 2 3 = 3 6

Q. Express the following to its simplest form.

11
85−54

STEP 2 SUCCESS (S2S)

1) SPLIT THE WHOLE NUMBER AND FRACTION
11

8 5−5 4

WHOLE NUMBER FRACTION
8-5 11
5− 4
Just SUBTRACT
8-5=3 a) Denominator MUST be the SAME
b) Change the SMALLER denominator
3–1=2 c) IF CANNOT – Multiply the two denominator &

Numerator with EACH OTHER
1 X4 1 X5
5 X4 − 4 X5

d) Denominator and numerator must be
multiplied by the same number

e) Subtract Numerator Only
4 5?
20 − 20 = ?

f) IF CANNOT you need to borrow 1from
whole number (i.e. 3)

1 = (because we want to have same

Remember Denominator)

= 20÷ 20= 1 g)Add it to the SMALLER FRACTION
20 4 24
w 20 + 20 = 20

D

N h) Replace old fraction with new fraction

0 24 5 19
1 20 = 1 20 − 20 = 20

2) PASTE together

1 1 19
8 5 − 5 4 = 2 20

3) FIND FACTORS of BOTH number
(Sifir apa yang ada dua nombor itu)

1 1 19
: 8 5 − 5 4 = 2 20

Q. Express the following to its simplest form.


−

STEP 2 SUCCESS (S2S)

1) SPLIT THE WHOLE NUMBER AND FRACTION
2

9 −6 5

WHOLE NUMBER FRACTION
9-6 ?2
?−5
Just SUBTRACT
a) If there is NO fraction then you need to borrow
9-6=3 1 from whole number

3–1=2 1 = (because we want to have same

Remember Denominator)

= 5 ÷ 5 = 1 52
5−5
w b) Subtract Numerator Only

D

N 5 23
5 − 5=5
0
15 = 1 Is the Numerator BIG-Simplest form
Small – Find Factors

23
: 9 − 6 5 = 2 5

Q. Express the following fraction into its simplest form

5
28 ×6

STEP 2 SUCCESS (S2S)

1) Convert mix to improper fraction

 Denominator multiply Whole number then add

the numerator

2 5 = (2 × 8) + 5 So this is your new
8 Question
5 21
28 = 8 21
8 ×6

2) Check for factors or skip to 3

21 × 6 ÷ 2 21 × 3
8÷2 =
4

3) Multiply the Numerator
21 × 3 63
4 =4

4) Is the Numerator BIG go to 5 then 6
Small go to 6

5) Express SIMPLEST FORM

15 w

D4 63
-4

−20

6) Find Factors if possible N
53

2 8 × 6 = 15 4

Q. Express the following fraction into its simplest form

5
28 ×6

STEP 2 SUCCESS (S2S)

1) Whole number multiply with Whole number and

numerator only.

5 × 6 = (2 × 6) (5 × 6)
28 8

5 30
2 8 × 6 = 12 8

2) Is the Numerator BIG go to 3 then 4
Small go to 4

3) Simplest form

3W

D 8 30
−24

N

4) Add the Numerator
30 6 6

12 8 = 12 3 8 = 15 8
5) Find Factors (if possible)

÷2

÷2

FINAL ANSWER

53
2 8 × 6 = 15 4

Q. Express the following fraction into its simplest form
3
10 × 4

STEP 2 SUCCESS (S2S)

1) Change Whole number to fraction
4

4=1
2) Multiply both Numerator

4 3 12
1 × 10 = 10

3) Is the Numerator BIG go to 4 then 5
Small go to 5

4) Express Simplest Form 1

1w
D 10 12

-10

N

5) Find Factors (sifir apa yang ada nombor itu)

1 ÷2
÷2

FINAL ANSWER

31
10 × 4 = 1 5

Q. Express the following into its simplest form.

4
5 ÷4

STEP 2 SUCCESS (S2S) OR

1. Change whole number into fraction

MOVE the WHOLE

4= NUMBER to the BOTTOM.
Change ÷ to X

So now the question becomes 44
5÷4= 5×4

Go to Step 3

2. CHANGE to and FLIP the NEW fraction

3. Check for factors YES go to 4 then 5 K- Kamu
4. Find factors No go to 5 F- Flip
5. Solve it C- Change
÷4
÷4

Answer: ×

×

Q. Express the following into its simplest form.

2
43 ÷4

STEP 2 SUCCESS (S2S)

1. Change Mix fraction into Improper fraction
- Whole number multiply with Denominator and add
numerator only
2 4 × 3 + 2 14
43 = 3 = 3

2. Change Whole number to Fraction

4=

3. PUT TOGETHER THE NEW FRACTION

÷

4. CHANGE to . FLIP THE NEW FRACTION

5. Check factors Yes go to 6 then 7

No go to 7

6. Find factors 7

÷2

7. Solve It ÷2

2

71 7
3 ×2= 6

8. Is the Numerator BIG go to 9
Small then look for FACTORS

9. Simplest form

1W

D6 7 1
−6

N

10. Answer: =